Publications of Matthias Schütt

Eva Bayer-Fluckiger, Bert van Geemen, Matthias Schütt (2024): K3 surfaces with real or complex multiplication
arXiv: 2401.04072

Fabrizio Catanese, Davide Frapporti, Christian Gleissner, Wenfei Liu, Matthias Schütt (2024): On the cohomologically trivial automorphisms of elliptic surfaces I: χ(S)=0.

Hisanori Ohashi, Matthias Schütt (2024): Finite symplectic automorphism groups of supersingular K3 surfaces
arXiv: 2405.06341

Slawomir Rams and Matthias Schütt (2024): Low degree rational curves on quasi-polarized K3 surfaces
arXiv: 2403.08064

Toshiyuki Katsura, Shigeyuki Kondo, Matthias Schütt (2024): The 2-divisibility of divisors on K3 surfaces in characteristic 2
arXiv: 2410.14085

Bert van Geemen, Matthias Schütt (2023): On families of K3 surfaces with real multiplication
arXiv: 2310.05196

Fabrizio Catanese, Matthias Schütt (2023): Singularities of normal quartic surfaces III (char=2, non-supersingular),  Tunisian Journal of Mathematics. 5, 3, 457-478
DOI: 10.2140/tunis.2023.5.457
arXiv: 2206.03295

Matthias Schütt (2023): Moduli of Gorenstein Q-homology projective planes,  J. Math. Soc. Japan 75(1): 329-366
DOI: https://doi.org/10.2969/jmsj/87028702
arXiv: 1505.04163

Toshiyuki Katsura, Matthias Schûtt (2023): Normal forms for quasi-elliptic Enriques surfaces and applications
arXiv: 2304.12599

Alejandro Cañas, Vicente Muñoz, Matthias Schütt, Aleksy Tralle (2022): Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds,  Rev. Mat. Iberoam. 38, No. 3, 1029-1050
arXiv: 2004.12643

Fabrizio Catanese, Matthias Schütt (2022): Singularities of normal quartic surfaces II (char=2),  Pure Appl. Math. Q. 18, No. 4, 1379-1420
arXiv: 2110.03078

Toshiyuki Katsura, Matthias Schütt (2021): K3 surfaces with 9 cusps in characteristic p,  J. Pure Appl. Algebra 225 (2021), no. 4, 106558, 14 pp
arXiv: 1902.01579

Sławomir Rams, Matthias Schütt (2020): 12 rational curves on Enriques surfaces
arXiv: arXiv:2005.12939

V. Muñoz, M. Schütt, A. Tralle (2020): Negative Sasakian structures on simply-connected 5-manifolds,  Mathematical research letters. 29, 6, 1827-1857
DOI: 10.4310/MRL.2022.v29.n6.a9
arXiv: 2007.08597

M. Schütt (2019): Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two ,  Épijournal Geom. Algébrique 3 (2019), Art. 10, 24 pp.
arXiv: 1703.10441

Sławomir Rams, Matthias Schütt (2019): 24 rational curves on K3 surfaces
arXiv: 1907.04182

Slawomir Cynk, Matthias Schütt, and Duco van Straten (2018): Hilbert modularity of some double octic Calabi--Yau threefolds
arXiv: 1810.04495

Matthias Schütt (2017): Divisibilities among nodal curves
arXiv: 1706.00570

Toshiyuki Katsura and Matthias Schütt (2017): Zariski K3 surfaces
arXiv: 1710.08661

M. Schütt (2016): Q_l-cohomology projective planes from Enriques surfaces in odd characteristic
arXiv: 1611.03847

M. Schütt (2016): Dynamics on supersingular K3 surfaces ,  Comment. Math. Helv. 91 (2016), 705-719.
arXiv: 1502.06923

M. Schütt (2015): Picard numbers of quintic surfaces,  Proc. LMS 110 (2015), 428-476
arXiv: 1308.2525

N. D. Elkies, M. Schütt (2015): Genus 1 fibrations on the supersingular K3 surface in characteristic 2 with Artin invariant 1,  Asian J. Math. 19 (2015), 555-582
arXiv: 1207.1239

S. Rams, M. Schütt (2015): At most 64 lines on smooth quartic surfaces (characteristic 2)
arXiv: 1512.01358

S. Rams, M. Schütt (2015): 64 lines on smooth quartic surfaces,  Mathematische Annalen, June 2015, Volume 362, Issue 1-2, pp 679-698
DOI: 10.1007/s00208-014-1139-y
arXiv: 1212.3511

S. Rams, M. Schütt (2015): 112 lines on smooth quartic surfaces (characteristic 3),  Quart. J. Math. 66 (2015), 941-951
arXiv: 1409.7485

S. Rams, M. Schütt (2014): On Enriques surfaces with four cusps
arXiv: 1404.3924

S. Rams, M. Schütt (2014): The Barth quintic surface has Picard number 41,  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XIII (2014), no. 2, 533-549
arXiv: 1107.2210

S. Rams, M. Schütt (2014): On quartics with lines of the second kind,  Adv. Geom. 14 (2014), 735-756
DOI: 10.1515/advgeom-2014-0018
arXiv: 1303.1304

G. Lombardi, C. Peters, M. Schütt (2013): Abelian Fourfolds of Weil type and certain K3 Double Planes,  Rend. Sem. Mat. Univ. Politec. Torino 71 (2013), 339 – 383.
arXiv: 1209.5997

M. Schütt (2013): Two lectures on the arithmetic of K3 surfaces,  Fields Institute Communications 67 (2013), 71-99.
arXiv: 1202.1066

M. Schütt (2013): K3 surfaces with an automorphism of order 11,  Tohoku Math J 65 (2013), 515-522
arXiv: 1208.4242

M. Schütt (2013): Sandwich theorems for Shioda-Inose structures,  Izvestiya Mat. 77 (2013), 211-222
arXiv: 1109.5988

M. Schütt, A. Schweizer (2013): On the uniqueness of K3 surfaces with maximal singular fibre,  Annales de l'institut Fourier, 63 (2013) 689-713.
arXiv: 0712.3873

N. D. Elkies, M. Schütt (2013): Modular forms and K3 surfaces,  Advances in Mathematics 240 (2013), 106-131.
arXiv: 0809.0830

A. Garbagnati, M. Schütt (2012): Enriques Surfaces - Brauer groups and Kummer structures,  Michigan Math. J. 61 (2012), 297-330
arXiv: 1006.4952

B. van Geemen, M. Schütt (2012): Two moduli spaces of abelian fourfolds with an automorphism of order five,  Internat. J. Math. Vol. 23 (2012), 31 pages
arXiv: 1010.3897

K. Hulek, M. Schütt (2012): Arithmetic of singular Enriques Surfaces,  Algebra & Number Theory 6 (2012), no. 2, 195-230
arXiv: 1002.1598

L. Dieulefait, A. Pacetti, M. Schütt (2012): Modularity of the Consani-Scholten quintic,  With an appendix by José Burgos Gil and Pacetti. Doc. Math. 17 (2012), 953-987.
arXiv: 1005.4523

M. Schütt (2012): A note on the supersingular K3 surface of Artin invariant 1,  Journal of Pure and Applied Algebra 216 (2012), 1438-1441
arXiv: 1105.4993

M. Schütt (2012): Modularity of Maschke`s octic and Calabi-Yau threefold,  Comm. Number Th. & Physics 5 (2011), 827-847
DOI: 10.1090/S0065-9266-2011-00617-9
arXiv: 1112.0405

S. Cynk, M. Schütt (2012): Non-liftable Calabi-Yau spaces,  Arkiv för Mathematik 50 (2012), 23-40
arXiv: 0910.2349

S. Rams, M. Schütt (2012): 64 lines on smooth quartic surfaces,  Math. Ann.
DOI: 10.1007/s00208-014-1139-y
arXiv: 1212.3511

I. Kiming, M. Schütt, H. Verrill (2011): Lifts of projective congruence groups,  J. London Math. Soc. 83 (2011), no. 1, 96-120
arXiv: 0905.4798

K. Hulek, M. Schütt (2011): Enriques Surfaces and jacobian elliptic K3 surfaces,  Math. Z. 268 (2011), no. 3-4, 1025-1056
arXiv: 0912.0608

M. Schütt (2011): Modularity of Maschke's octic and Calabi-Yau threefold,  Comm. Number Th. & Physics 5 (2011), 827-847

M. Schütt (2011): Quintic surfaces with maximum and other Picard numbers,  Journal Math. Soc. Japan 63 (2011), 1187-1201
arXiv: 0812.3519

L. Dieulefait, A. Pacetti, M. Schütt (2010): Modularity of the Consani-Scholten quintic
arXiv: 1005.4523

M. Schütt (2010): K3 surfaces with non-symplectic automorphism of 2-power order,  J. Algebra 323 (2010), 206-223
arXiv: 0807.3708

M. Schütt (2010): K3 surfaces of Picard rank 20 over Q,  Algebra &Number Theory 4 (2010), no. 3, 335-356.
arXiv: 0804.1558

M. Schütt, T. Shioda (2010): Elliptic Surfaces,  Advanced Studies in Pure Mathematics 60 (2010), 51-160.
arXiv: 0907.0298

M. Schütt, T. Shioda, R. van Luijk (2010): Lines on Fermat surfaces,  Journal of Number Theory 130 (2010), 1939-1963
arXiv: arXiv:0812.2377

M. Schütt (2009): CM newforms with rational coefficients,  Ramanujan Journal 19 (2009), 187-205
arXiv: math.NT/0511228

S. Cynk, M. Schütt (2009): Generalised Kummer constructions and Weil restrictions,  Journal of Number Theory 129 (2009), 1965-1975
arXiv: 0710.4565

M. Schütt (2008): Arithmetic of a singular K3 surface,  Michigan Math. J. 56 (2008), 513-527
arXiv: math.NT/0605560

M. Schütt, A. Schweizer (2008): On Davenport-Stothers inequalities and elliptic surfaces in positive characteristic,  Quarterly J. Math. 59 (2008), 499-522
arXiv: math.NT/0608427

M. Schütt (2007): Elliptic fibrations of some extremal K3 surfaces,  Rocky Mountain J. Math. 37 (2007), no. 2, 609-652
arXiv: math.AG/0412049

M. Schütt, A. Schweizer (2007): On the uniqueness of K3 surfaces with maximal singular fibre,  Annales de l'Institut Fourier
arXiv: 0712.3873

T. Shioda, M. Schütt (2007): An interesting elliptic surface over an elliptic curve,  Proj. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 3, 40-45
arXiv: math.AG/0611103

K. Hulek, R. Kloosterman, M. Schütt (2006): Modularity of Calabi-Yau varieties,  Global Aspects of Complex Geometry, Springer Verlag 2006 (F. Catanese, H. Esnault, A. Huckleberry, K. Hulek and T. Peternell, eds.), 271-309.
arXiv: math.AG/0601238

M. Schütt (2006): The maximal singular fibres of elliptic K3 surfaces,  Archiv der Mathematik 79, 4 (2006), 309-319
arXiv: math.AG/0509540

M. Schütt (2006): On the modularity of three Calabi-Yau threefolds with bad reduction at 11,  Canad. Math. Bull. 49 (2), 2006, 296-31
arXiv: math.AG/0405450

M. Schütt, J. Top (2006): Arithmetic of the [19,1,1,1,1,1] fibration,  Comment. Math. Univ. St. Pauli 55, 1 (2006), 9-16
arXiv: math.AG/0510063

M. Schütt (2004): New examples of modular rigid Calabi-Yau threefolds,  Collect. Math. 55, 2 (2004), 219-228
arXiv: math/0311106

R. Laza, M. Schütt, N. Yui (2013): Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds, Fields Institute Communications, Vol. 67, xxvi + 602 p., Springer (2013)

Matthias Schütt, Tetsuji Shioda (2019): Mordell-Weil lattices,  Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, 70, xvi+431 pp., Springer (2019)
DOI: 10.1007/978-981-32-9301-4

A. Frühbis-Krüger, R. N. Kloosterman, M. Schütt (Eds.) (2014): Algebraic and Complex Geometry,  Springer PROMS 71, xii + 319 p., Springer (2014)