-
Wolfgang Ebeling, Atsushi Takahashi
(2023):
Graded matrix factorizations of size two and reduction,
Manuscripta Math. 170, 409-425 (2023)
DOI:
10.1007/s00229-022-01372-4
arXiv:
2101.05075
-
Wolfgang Ebeling, Sabir M. Gusein-Zade
(2023):
Indices of vector fields and 1-forms,
Handbook of Geometry and Topology of Singularities, Volume IV,
Springer, Cham, 2023, 251–305.
arXiv:
2107.01967
-
Wolfgang Ebeling, Sabir M. Gusein-Zade
(2022):
Mirror symmetry on levels of non-abelian Landau--Ginzburg orbifolds,
J. Geom. Phys. 179 (2022) 104617
DOI:
10.1016/j.geomphys.2022.104617
arXiv:
2204.02069
-
Wolfgang Ebeling, Atsushi Takahashi
(2021):
Strange duality between the quadrangle complete intersection singularities,
Arnold Mathematical Journal 7, 519-540 (2021)
DOI:
10.1007/s40598-021-00181-z
arXiv:
2102.08010
-
Wolfgang Ebeling, Sabir M. Gusein-Zade
(2021):
A version of the Berglund-Hübsch-Henningson duality with non-abelian groups,
Int. Math. Res. Not. IMRN 2021, No. 16, 12305-12329 (2021)
DOI:
10.1093/imrn/rnz167
arXiv:
1807.04097
-
Wolfgang Ebeling
(2020):
Distinguished bases and monodromy of complex hypersurface singularities,
Handbook of Geometry and Topology of Singularities I, (J.L. Cisneros Molina et al., eds.) Springer, Cham, 449-490, 2020
arXiv:
1905.12435
-
Wolfgang Ebeling, Atsushi Takahashi
(2020):
Lattices for Landau-Ginzburg orbifolds,
Math. Z. 296 (2020), 639-659
DOI:
10.1007/s00209-019-02441-3
arXiv:
1809.06566
-
Wolfgang Ebeling, Sabir M. Gusein-Zade
(2020):
Dual invertible polynomials with permutation symmetries and the orbifold Euler characteristic,
SIGMA 16 (2020), 051, 15 pages
arXiv:
1907.11421
-
Wolfgang Ebeling, Sabir M. Gusein-Zade
(2020):
On the orbifold Euler characteristics of dual invertible polynomials with non-abelian symmetry groups,
Pure Appl. Math. Q. 16, No. 4, 1099-1113, 2020
arXiv:
1811.05781
-
S.M. Gusein-Zade, W. Ebeling
(2018):
The index of a 1-form on a real quotient singularity.,
Funktsional. Anal. i Prilozhen. 52, no. 2, 78-81 (2018) (English translation in Funct. Anal. Appl. 52, no. 2, 144-146 (2018))
-
W. Ebeling, S. M. Gusein-Zade
(2018):
Enhanced equivariant Saito duality,
J. Algebra Appl. Vol. 17, No. 10 (2018) 1850181
DOI:
10.1142/S0219498818501815
arXiv:
1506.05604
-
W. Ebeling, S. M. Gusein-Zade
(2018):
An algebraic formula for the index of a 1-form on a real quotient singularity,
Math. Nachrichten 291, 2543-2556 (2018)
DOI:
https://doi.org/10.1002/mana.201700453
arXiv:
1708.09219
-
W. Ebeling, S. M. Gusein-Zade
(2018):
Orbifold Milnor lattice and orbifold intersection form,
Manuscripta Math. 155, 335-353 (2018)
DOI:
10.1007/s00229-017-0945-4
arXiv:
1607.08740
-
Wolfgang Ebeling
(2018):
A note on distinguished bases of singularities,
Topology and its Applications 234 (2018), 259-268
DOI:
10.1016/j.topol.2017.11.015
arXiv:
1611.06074
-
Wolfgang Ebeling
(2018):
A McKay correspondence for the Poincar\'e series of some finite subgroups of ${\rm SL}_3(\CC)$,
Special Volume in honor of the life and mathematics of Egbert Brieskorn, Journal of Singularities 18 (2018), 397-408
DOI:
10.5427/jsing.2018.18t
arXiv:
1712.07985
-
W. Ebeling
(2017):
Homological mirror symmetry for singularities,
Representation Theory - Current Trends and Perspectives (H. Krause et al., eds.), EMS Series of Congress Reports, Zürich 2017, pp. 75-107
arXiv:
1601.06027
-
W. Ebeling, S. M. Gusein-Zade
(2017):
Orbifold zeta functions for dual invertible polynomials,
Proc. Edinburgh Math. Soc., Volume 60, Issue 1, 99--106
DOI:
10.1017/S0013091516000043
arXiv:
1407.0154
-
W. Ebeling, S. M. Gusein-Zade
(2017):
Higher-order spectra, equivariant Hodge-Deligne polynomials and Macdonald-type equations,
Singularities and Computer Algebra (W. Decker et al., eds.), Springer-Verlag 2017, pp. 97-108
arXiv:
1507.08088
-
W. Ebeling, S.M. Gusein-Zade
(2017):
An equivariant version of the Euler obstruction,
Bull. Braz. Math. Soc. (N.S.) 48 (2017), 199-208
DOI:
10.1007/s00574-016-0022-8
arXiv:
1407.6587
-
W. Ebeling, A. Takahashi
(2016):
Strange duality between hypersurface and complete intersection singularities,
Arnold Mathematical Journal 2 (2016), 277-298
DOI:
10.1007/s40598-016-0044-8
arXiv:
1508.02226
-
W. Ebeling, S. M. Gusein-Zade, A. Takahashi
(2016):
Orbifold E-functions of dual invertible polynomials,
J. Geom. Phys. 106 (2016), 184-191
DOI:
10.1016/j.geomphys.2016.03.026
arXiv:
1509.04101
-
W. Ebeling, S. M. Gusein-Zade
(2015):
Indices of collections of equivariant 1-forms and characteristic numbers,
Topology Appl. 191 (2015), 153-162
DOI:
10.1016/j.topol.2015.06.002
arXiv:
1406.4278
-
W. Ebeling, S.M. Gusein-Zade
(2015):
Equivariant indices of vector fields and 1-forms,
European J. of Math. 1 (2015), 286-301
DOI:
10.1007/s40879-015-0036-6
arXiv:
1307.2054
-
W. Ebeling, A. Takahashi
(2014):
A geometric definition of Gabrielov numbers,
Rev. Mat. Complut. 27 (2014), no. 2, 447–460
DOI:
10.1007/s13163-013-0139-x
arXiv:
1305.6268
-
W. Ebeling, A. Takahashi
(2013):
Variance of the exponents of orbifold Landau-Ginzburg models,
Math. Res. Lett. 20 (2013), no.01, 51--65
arXiv:
1203.3947
-
W. Ebeling, A. Takahashi
(2013):
Mirror symmetry between orbifold curves and cusp singularities with group action,
Int. Math. Res. Not. IMRN 2013 (2013), no. 10, 2240–2270
DOI:
10.1093/imrn/rns115
arXiv:
1103.5367
-
W. Ebeling, D. Ploog
(2013):
A geometric construction of Coxeter-Dynkin diagrams of bimodal singularities,
Manuscripta Math. 140 (2013), no. 1-2, 195–212
arXiv:
1102.5024
-
W. Ebeling, S. M. Gusein-Zade
(2012):
Saito duality between Burnside rings for invertible polynomials,
Bull. London Math. Soc. 44 (2012), 814-822
arXiv:
1105.1964
-
W. Ebeling, S. M. Gusein-Zade
(2012):
Equivariant Poincaré series and monodromy zeta functions of quasihomogeneous polynomials,
Publ. RIMS Kyoto Univ. 48 (2012), 653-660
arXiv:
1106.1284
-
W. Ebeling, S. M. Gusein-Zade
(2012):
Orbifold Euler characteristics for dual invertible polynomials,
Mosc. Math. J. 12 (2012), no. 1, 49-54
arXiv:
1107.5542
-
W. Ebeling, S. M. Gusein-Zade
(2012):
On a Newton filtration for functions on a curve singularity,
Journal of Singularities 4 (2012), 180-187
More info
arXiv:
1206.0135
-
W. Ebeling, A. Takahashi
(2011):
Strange duality of weighted homogeneous polynomials,
Compos. Math. 147 (2011), 1413-1433.
arXiv:
1003.1590
-
W. Ebeling, S. M. Gusein-Zade
(2011):
Monodromy of dual invertible polynomials,
Mosc. Math. J. 11 (2011), no. 3, 463-472.
arXiv:
1008.4021
-
W. Ebeling, S. M. Gusein-Zade
(2011):
On divisorial filtrations associated with Newton diagrams,
Journal of Singularities 3 (2011), 1-7
More info
arXiv:
1008.4659
-
W. Ebeling, D. Ploog
(2010):
Poincaré series and Coxeter functors for Fuchsian singularities,
Adv. Math. 225 (2010), 1387-1398.
arXiv:
0903.4692
-
W. Ebeling, D. Ploog
(2010):
McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities,
Math. Ann. 347 (2010), 689-702.
arXiv:
0809.2738
-
W. Ebeling, S. M. Gusein-Zade
(2010):
Multi-variable Poincaré series associated with Newton diagrams,
Journal of Singularities 1 (2010), 60-68
More info
arXiv:
0906.0081
-
R.-O. Buchweitz, W. Ebeling, H.-Ch. Graf v. Bothmer
(2009):
Low-dimensional Singularities with Free Divisors as Discriminants,
J. Algebraic Geom. 18 (2009), 371-406
arXiv:
math.AG/0612119
-
W. Ebeling
(2009):
Poincaré series and monodromy of the simple and unimodal boundary singularities,
Proc. Steklov Inst. Math. 267 (2009), 50-58
arXiv:
0807.4839
-
W. Ebeling, S. M. Gusein-Zade
(2009):
On indices of 1-forms on determinantal singularities,
Proc. Steklov Inst. Math. 267 (2009), 113-124.
arXiv:
0806.0219
-
H.-Ch. Graf v. Bothmer, W. Ebeling, X. Gomez-Mont
(2008):
An algebraic formula for the index of a vector field on an isolated complete intersection singularity,
Annales de l`Institut Fourier, Vol. 58, no. 5 (2008), 1761-1783
arXiv:
math.AG/0601640
-
W. Ebeling, S. M. Gusein-Zade
(2007):
Indices of collections of 1-forms,
In: Singularities in Geometry and Topology. Proceedings of the Trieste Singularity Summer School and Workshop 2005 (J.-P. Brasselet et al., eds.), World Scientific, Singapore 2007, pp. 629-639
-
W. Ebeling, S. M. Gusein-Zade
(2007):
Lectures on monodromy,
In: Singularities in Geometry and Topology. Proceedings of the Trieste Singularity Summer School and Workshop 2005 (J.-P. Brasselet et al., eds.), World Scientific, Singapore 2007, pp. 234-252
-
Wolfgang Ebeling, Sabir M. Gusein-Zade
(2007):
Chern obstructions for collections of 1-forms on singular varieties,
In: Singularity Theory. Proceedings of the 2005 Marseille Singularity School and Conference (D. Chéniot et al., eds), World Scientific, Singapore 2007, pp. 557-564
arXiv:
math.AG/0503422
-
W. Ebeling
(2006):
Mirror symmetry, Kobayashi`s duality, and Saito`s duality,
Kodai Math. J. 29 (2006), 319-336
arXiv:
math.AG/0507134
-
W. Ebeling
(2006):
Monodromy,
In: Singularities and Computer Algebra (Ch. Lossen, G. Prister, eds.), London Math. Soc. Lecture Note Series 324, Cambridge University Press 2006, 129-155
arXiv:
math.AG/0507171
-
W. Ebeling, S. Gusein-Zade
(2006):
Indices of vector fields and 1-forms on singular varieties,
In: Global Aspects of Complex Geometry (F. Catanese et al., eds.), Springer-Verlag 2006, 129-169
arXiv:
math.AG/0601439
-
W. Ebeling, S. M. Gusein-Zade
(2006):
A filtration defined by arcs on a variety,
Uspekhi Mat. Nauk, 61 (2006), no. 2, 163-164 (Russian), (Engl. translation in Russian Math. Surveys 61 (2006), no. 2, 353-355).
arXiv:
math/0303331
-
Wolfgang. Ebeling, Sabir M. Gusein-Zade
(2006):
Quadratic forms for a 1-form on an isolated complete intersection singularity,
Math. Z. 252 (2006), 755-766.
arXiv:
math.AG/0503336
-
W. Ebeling, S. M. Gusein-Zade
(2005):
On the arc filtration for the singularities of Arnold`s lists,
Math. Proc. Cambridge Philos. Soc. 138 (2005), 307-314, Preprint 2003
arXiv:
math.AG/0309243
-
W. Ebeling, S. M. Gusein-Zade
(2005):
Indices of vector fields or 1-forms and characteristic numbers,
Bull. London Math. Soc. 37, 747-754 (2005)
arXiv:
math/0303330
-
Wolfgang Ebeling, Sabir M. Gusein-Zade
(2005):
Radial index and Euler obstruction of a 1-form on a singular variety,
Geometriae Dedicata 113, 231--241 (2005)
arXiv:
math/0402388
-
W. Ebeling, S. M. Gusein-Zade
(2004):
Monodromies and Poincaré series of quasihomogeneous complete intersections,
Abh. Math. Sem. Univ. Hamburg 74 (2004), 175-179, Preprint 2003
| File |
-
W. Ebeling, S. M. Gusein-Zade
(2004):
On indices of meromorphic 1-forms,
Compositio Math. 140 (2004), 809-817
-
W. Ebeling, S. M. Gusein-Zade, J. Seade
(2004):
Homological index for 1-forms and a Milnor number for isolated singularities,
Int. J. Math. 15, No. 9, (2004) 895--905
arXiv:
math/0307239
-
W. Ebeling
(2003):
The Poincaré series of some special quasihomogeneous surface singularities,
Res. Inst. Math. Sci. 39 (2003), 393-413
arXiv:
math.AG/0004086
-
W. Ebeling, S. M. Gusein-Zade
(2003):
Indices of 1-forms on an isolated complete intersection singularity,
Mosc. Math. J. 3 (2003), 439-455
-
W. Ebeling
(2002):
Poincaré series and monodromy of a two-dimensional quasihomogeneous hypersurface singularity,
Manuscripta math. 107, 271-282 (2002)
-
W. Ebeling, S. M. Gusein-Zade
(2002):
Poincaré series and zeta function of the monodromy of a quasihomogeneous singularity,
Math. Res. Lett. 9 (2002), 509-513
-
W. Ebeling, S. M. Gusein-Zade
(2001):
On the index of a holomorphic 1-form on an isolated complete intersection singularity,
Doklady Akad. Nauk 380, 458-461 (2001)
-
W. Ebeling
(2000):
Strange duality and polar duality,
J. London Math. Soc. (2) 61, 823-834 (2000)
-
W. Ebeling
(1999):
Strange duality, mirror symmetry, and the Leech lattice,
Singularity theory (Liverpool, 1996), xv–xvi, 55–77, London Math. Soc. Lecture Note Ser., 263, Cambridge Univ. Press, Cambridge, 1999.
-
W. Ebeling
(1999):
Lattices and codes,
Methods of discrete mathematics (Braunschweig, 1999), 103–143, Quad. Mat., 5, Dept. Math., Seconda Univ. Napoli, Caserta, 1999
-
W. Ebeling, S. M. Gusein-Zade
(1999):
On the index of a vector field at an isolated singularity,
In: The Arnoldfest: Proceedings of a Conference in Honour of V. I. Arnold for his Sixtieth Birthday (E. Bierstone, B. Khesin, A. Khovanskii, J. Marsden, eds.), Fields Institute Communications 24, Am. Math. Soc., Providence 1999, pp. 141-152
-
W. Ebeling
(1998):
Appendix to the paper of V.A. Vassiliev,
In: Singularities. The Brieskorn Anniversary Volume (V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink, eds.), Progr. Math., Vol. 162, Birkhäuser, Basel 1998, 235-237
-
W. Ebeling, J. H. M. Steenbrink
(1998):
Spectral pairs for isolated complete intersection singularities,
J. Alg. Geom. 7, 55-76 (1998)
-
W. Ebeling, S.M. Gusein-Zade
(1998):
Suspensions of fat points and their intersection forms,
In: Singularities. The Brieskorn Anniversary Volume (V.I. Arnold, G.-M. Greuel, J.H.M. Steenbrink, eds.), Progr. Math., Vol. 162, Birkhäuser, Basel 1998, 141-165
-
W. Ebeling
(1996):
On Coxeter-Dynkin diagrams of hypersurface singularities,
J. Math. Sci. 82, 3657-3664 (1996)
-
W. Ebeling, S. M. Gusein-Zade
(1996):
Coxeter-Dynkin diagrams of fat points in C2 and of their stabilizations,
Math. Ann. 306, 487–512 (1996)
-
W. Ebeling, S. M. Gusein-Zade
(1995):
Coxeter-Dynkin diagrams of the complete intersection singularities Z_9 and Z_{10},
Math. Z. 218, 549-562 (1995)
-
W. Ebeling, Ch. Okonek
(1994):
Homology Hopf surfaces,
Compositio Math. 91, 277-304 (1994)
-
W. Ebeling, Ch. Okonek
(1991):
On the diffeomorphism groups of certain algebraic surfaces,
Enseign. Math. 37, 249-262 (1991)
-
W. Ebeling, Ch. Okonek
(1990):
Donaldson invariants, monodromy groups and singularities,
Internat. J. of Math. 1, 233-250 (1990)
-
Wolfgang Ebeling
(1990):
An example of two homeomorphic, nondiffeomorphic complete intersection surfaces,
Invent. math. 99, 651-654 (1990)
-
Wolfgang Ebeling
(1987):
Vanishing lattices and monodromy groups of isolated complete intersection singularities,
Invent. math. 90, 653-668 (1987)
-
Wolfgang Ebeling
(1986):
The Milnor lattices of the elliptic hypersurface singularities,
Proc. London Math. Soc. (3), 53, 85-111, (1986)
-
W. Ebeling, C.T.C. Wall
(1985):
Kodaira singularities and an extension of Arnold's strange duality,
Compositio Math. 56, 3-77 (1985)
-
W. Ebeling
(1984):
An arithmetic characterisation of the symmetric monodromy groups of singularities,
Invent. math. 77, 85-99 (1984)
-
W. Ebeling
(1983):
Milnor lattices and geometric bases of some special singularities,
In: Noæuds, tresses et singularités (Ed. C. Weber), Monographie Enseign. Math. 31, Genàve 1983, 129-146 und Enseign. Math. 29, 263-280 (1983)
-
W. Ebeling
(1983):
On the monodromy groups of singularities,
Proc. Sympos. Pure Math. (AMS) Vol. 40, Part 1, 327-336 (1983)
-
W. Ebeling
(1983):
Arithmetic monodromy groups,
Math. Ann. 264, 241-255 (1983)
-
W. Ebeling
(1981):
Quadratische Formen und Monodromiegruppen von Singularitäten,
Math. Ann. 255, 463-498 (1981)