A list of papers. The files may be slightly different from the published
versions.
The e-print server is at: https://arxiv.org/.
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| A novel chain of Lie algebras and its coalgebra symmetry.
Giorgio Gubbiotti, Danilo Latini, Bert van Geemen |
arXiv:2512.01791 |
| Non-projective K3 surfaces with real or Salem multiplication.
Eva Bayer-Fluckiger, Bert van Geemen, Matthias Schütt |
arXiv:2511.19970 |
| The two extremal rays of some Hyper-Kähler fourfolds.
Federica Galluzzi, Bert van Geemen |
arXiv:2501.09578 |
| K3 surfaces with real or complex multiplication.
Eva Bayer-Fluckiger, Bert van Geemen, Matthias Schütt To appear in Algebraic Geometry |
arXiv:2401.04072v2 |
| On families of K3 surfaces with real multiplication.
Bert van Geemen, Matthias Schütt Forum of Mathematics, Sigma, Volume 13, 2025, e2:1-23 |
arXiv:2310.05196 |
| Some remarks on Brauer Classes of K3-type
Federica Galluzzi, Bert van Geemen Rend. Semin. Mat. Univ. Politec. Torino 82 (2024) 127-143. |
arXiv:2405.19848 |
| Line geometry of pairs of second-order Hamiltonian operators and quasilinear systems
Giorgio Gubbiotti, Bert van Geemen, Pierandrea Vergallo Proc. R. Soc. A. 480: 20240280 |
arXiv:2403.09152 |
| Invariants of vanishing Brauer classes.
Federica Galluzzi, Bert van Geemen Res. Math. Sci. 11 (2024) Paper No. 48. |
arXiv:2310.18200 |
| Fourfolds of Weil type and the spinor map.
Bert van Geemen Expositiones Mathematicae 41 (2023) 418-447. |
arXiv:2205.00483 prepublication |
| A Calabi-Yau threefold coming from two black holes.
Dino Festi, Bert van Geemen J. Geom. Phys. 186 (2023) 104753. |
arXiv:2207.01936 Published paper |
| Contractions of hyper-Kähler fourfolds and the Brauer group.
Bert van Geemen, Grzegorz Kapustka Adv. Math. 412 (2023), Paper No. 108814. |
arXiv:2105.07697 |
| Weil classes and decomposable abelian fourfolds.
Bert van Geemen SIGMA 18 (2022), 097, 18 pages. |
arXiv:2108.02087
Published paper |
| BPS Black Hole Entropy and Attractors in Very Special Geometry. Cubic Forms, Gradient Maps and their Inversion.
Bert van Geemen, Alessio Marrani, Francesco Russo J. High Energy Phys. (2021) Paper No. 195, 97 pp. |
arXiv:2009.10647 |
| Lagrangian Grassmannians and spinor varieties in characteristic two.
Bert van Geemen, Alessio Marrani SIGMA 15 (2019), 064, 22 pages. |
arXiv:1903.01228
Published paper |
| Genus three curves and 56 nodal sextic surfaces.
Bert van Geemen, Yan Zhao J. Algebraic Geometry 27 (2018) 583-592. |
file.pdf
arXiv:1603.06247 Published paper |
| A remark on generalized complete intersections.
Alice Garbagnati, Bert van Geemen Nuclear Physics B. 925 (2017) 135-143. |
file.pdf
arXiv:1708.00517 Published paper |
| A very special EPW sextic and two IHS fourfolds.
Maria Donten-Bury, Bert van Geemen, Grzegorz Kapustka, Michal Kapustka, Jaroslaw A. Wisniewski Geometry & Topology 21 (2017) 1179-1230. |
file.pdf
arXiv:1509.06214 Published paper |
| On intermediate Jacobians of cubic threefolds admitting an automorphism of order five.
Bert van Geemen, Takuya Yamauchi Pure Appl. Math. Q. 12 (2016) 141-164. |
file.pdf
arXiv:1506.05346 Published paper |
| On a conjecture of Matsushita.
Bert van Geemen, Claire Voisin Int. Math. Res. Not. (2016) 10 3111-3123. |
file.pdf
arXiv:1503.07323 Published paper |
| Abelian surfaces with an automorphism and quaternionic multiplication.
Matteo A. Bonfanti, Bert van Geemen Canad. J. Math. 68 (2016) 24-43. |
file.pdf
arXiv:1408.1267 Published paper |
| Some equations for the universal Kummer variety.
Bert van Geemen Trans. Amer. Math. Soc. 368 (2016) 209-225. |
file.pdf
arXiv:1307.2463 Published paper |
| A Picard modular fourfold and the Weyl group W(E_6).
Bert van Geemen, Kenji Koike Communications in Analysis and Geometry 23 (2015) 923-949. |
file.pdf
arXiv:1309.0963 |
| The Cayley-Oguiso free automorphism of positive entropy on a K3 surface.
Dino Festi, Alice Garbagnati, Bert van Geemen, Ronald van Luijk J. Mod. Dyn. 7 (2013) 75-96. |
file.pdf
arXiv:1208.1016 |
| Multi-Centered Invariants, Plethysm and Grassmannians.
Sergio L. Cacciatori, Alessio Marrani, Bert van Geemen J. High Energy Phys. 02 (2013) 049. |
file.pdf
arXiv:1211.3432 |
| Lines on the Dwork Pencil of Quintic Threefolds.
Philip Candelas, Xenia de la Ossa, Bert van Geemen, Duco van Straten Adv. Theor. Math. Phys. 16 (2012) 1779-1836. |
file.pdf
arXiv:1206.4961 |
| Two moduli spaces of abelian fourfolds with an automorphism of order five.
Bert van Geemen, Matthias Schütt Internat. J. Math. Vol. 23 (2012) 1250108 (31 pages). |
file.pdf
arXiv:1010.3897 |
| Mirror Quintics, discrete symmetries and Shioda Maps.
Gilberto Bini, Bert van Geemen, Tyler L. Kelly Journal of Algebraic Geometry 21 (2012) 401-412. |
file.pdf
arXiv:0809.1791 |
| Geometry and Arithmetic of Maschke's Calabi-Yau Threefold.
Gilberto Bini, Bert van Geemen Commun. Number Theory Phys. 5 (2011) 779-826. |
file.pdf
arXiv:1110.0106 |
| A new CY elliptic fibration and tadpole cancellation.
Sergio L. Cacciatori, Andrea Cattaneo, Bert van Geemen J. High Energy Phys. 10 (2011) 031. |
file.pdf
arXiv:1107.3589 |
| Examples of Calabi-Yau threefolds parametrised by Shimura varieties.
Alice Garbagnati, Bert van Geemen Rend. Sem. Mat. Univ. Pol. Torino 68 (2010) 271-287. |
file.pdf
arXiv:1005.0478 |
| From qubits to E7.
Bianca L. Cerchiai, Bert van Geemen Journal of Mathematical Physics 51 (2010) 122203. |
file.pdf
arXiv:1003.4255 |
| The Picard-Fuchs equation of a family of Calabi-Yau threefolds without maximal unipotent monodromy.
Alice Garbagnati, Bert van Geemen Int. Math. Res. Not. 16 (2010) 3134-3143. |
file.pdf
arXiv:0903.4404 |
| Siegel modular forms and finite symplectic groups.
Francesco Dalla Piazza, Bert van Geemen Adv. Theor. Math. Phys. 13 (2009) 1771-1814. |
file.pdf
arXiv:0804.3769 |
| Del Pezzo moduli via root systems.
E. Colombo, B. van Geemen and E. Looijenga In: Algebra, Arithmetic and Geometry, ed. Y. Tschinkel, Y. Zarhin, Vol. 1, 291-337, Birkhauser 2009. |
file.pdf
math.AG/0702442 |
| Real multiplication on K3 surfaces and Kuga Satake varieties.
B. van Geemen Michigan Math. J. 56 (2008) 375-399. |
file.pdf
math.AG/0609839 |
| Genus four superstring measures.
S. L. Cacciatori, F. Dalla Piazza, B. van Geemen Letters in Mathematical Physics 85 (2008) 185-193. |
file.pdf
arXiv:0804.0457v1 |
| Modular Forms and Three Loop Superstring Amplitudes.
S. L. Cacciatori, F. Dalla Piazza, B. van Geemen Nuclear Physics B. 800 (2008) 565-590. |
file.pdf
arXiv:0801.2543 |
A family of marked cubic surfaces and the root system D_5.
E. Colombo and B. van Geemen Internat. J. Math. 18 (2007) 505-525. |
file.pdf
math.AG/0509561 |
| Nikulin involutions on K3 surfaces.
B. van Geemen and A. Sarti Math. Z. 255 (2007) 731-753. |
file.pdf
math.AG/0602015 |
| Hessians and the moduli space of cubic surfaces.
E. Dardanelli and B. van Geemen In: Algebraic Geometry, ed. J. Keum, S. Kondo, Contemporary Mathematics 422, AMS (2007) 17-36. |
file.pdf
math.AG/0409322 |
| An isogeny of K3 surfaces.
B. van Geemen and J. Top Bull. London Math. Soc. 38 (2006) 209-223. |
file.pdf
math.AG/0309272 |
| A complex ball uniformization of the moduli space
of cubic surfaces via periods of K3 surfaces.
I. Dolgachev, B. van Geemen and S. Kondo J. Reine Angew. Math. 588 (2005) 99-148. |
file.pdf
math.AG/0310342 |
| Some remarks on Brauer groups of K3 surfaces.
B. van Geemen Advances in Mathematics 197 (2005) 222-247. |
file.pdf
math.AG/0408006 old version.ps.gz |
| Quotients of Fermat curves and a Hecke character.
B. van Geemen, K. Koike and A. Weng Finite Fields Appl. 11 (2005) 6-29. |
file.pdf
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| The Chow group of the moduli space of marked cubic surfaces.
E. Colombo and B. van Geemen Ann. Mat. Pura Appl. 183 (2004) 291-316. |
file.ps.gz
file.pdf math.AG/0210465 |
| Quaternionic pryms and Hodge classes.
B. van Geemen and A. Verra Topology 42 (2003) 35-53. |
file.pdf
math.AG/0103111 |
| A linear system on Naruki's moduli space of marked cubic surfaces.
B. van Geemen Internat. J. Math. 13 (2002) 183-208. |
file.pdf
math.AG/0101161 |
| Half twists and the cohomology of hypersurfaces.
B. van Geemen and E. Izadi Math. Z. 242 (2002) 279-301. |
file.pdf
math.AG/0008170 |
| The modularity of the Barth-Nieto quintic and its relatives.
K. Hulek, J. Spandaw, B. van Geemen, D. van Straten Advances in Geometry 1 (2001) 263-289. |
file.pdf
math.AG/0010049 published paper |
| Half twists of Hodge structures of CM-type.
B. van Geemen J. Math. Soc. Japan 53 (2001) 813-833. |
file.pdf
math.AG/0008076 |
| The tangent space to the moduli space of vector bundles on a curve
and the singular locus of the theta divisor of the jacobian.
B. van Geemen and E. Izadi J. Algebraic Geom. 10 (2001) 133-177. |
file.pdf
math.AG/9805037 |
| Modular Forms for GL(3) and Galois Representations.
B. van Geemen and J. Top In: Algorithmic Number Theory, ed. W. Bosma, LNCS 1838, Springer (2000) 333-346. |
scan.pdf |
| Kuga-Satake varieties and the Hodge conjecture.
B. van Geemen In: The Arithmetic and Geometry of Algebraic Cycles, Eds: B.B. Gordon et al. Kluwer (2000) 51-82. |
abstract
file.pdf math.AG/9903146 |
| A Compactification of a Fine Moduli Space of Curves.
B. van Geemen and F. Oort Progress in Mathematics, Vol. 181, Birkhauser Verlag (2000), 285-298. |
file.pdf |
| The Schottky problem and second order theta functions.
B. van Geemen In: Taller de variedades abelianas y funciones theta, Sociedad Matem'atica Mexicana, Aportaciones Matem'aticas, Investigaci'on 13 (1998), 41-84. |
file.pdf |
| On Hitchin's Connection.
B. van Geemen and A. J. de Jong Journal of the AMS 11 (1998), 189-228. |
file.ps.gz
alg-geom/9701007 |
| Hecke eigenforms in the Cuspidal Cohomology of Congruence
Subgroups of SL(3,Z).
B. van Geemen, W. van der Kallen, J. Top and A. Verberkmoes. Experimental Mathematics 6 (1997) 163-174. |
file.pdf |
| Theta functions and cycles on some abelian fourfolds.
B. van Geemen Mathematische Zeitschrift 221 (1996) 617-631. |
file.pdf (from GDZ) |
| On the Hitchin system.
B. van Geemen and E. Previato Duke Math. J. 85 (1996) 659-684. |
file.pdf
alg-geom/9410015 |
| Selfdual and non-selfdual 3-dimensional Galois representations.
B. van Geemen and J. Top Compositio Mathematica 97 (1995) 51-70. |
file.pdf |
| On the geometry and arithmetic of some Siegel modular Threefolds.
B. van Geemen and N.O. Nygaard J. Number Theory 53 (1995) 45-87. |
file.pdf
published paper |
| A non-selfdual automorphic representation of GL_3 and a Galois representation.
B. van Geemen and J. Top Inventiones Matematicae 117 (1994) 391-401. |
file.ps.gz
file.pdf (from GDZ) |
| An introduction to the Hodge conjecture for abelian varieties.
B. van Geemen In: Algebraic Cycles and Hodge Theory, Torino 1993, Springer LNM 1594 (1994) 233-252. |
file.pdf |
| The cusp forms of weight 3 on \Gamma_2(2,4,8).
B. van Geemen and D. van Straten Mathematics of Computation 61 (1993) 849-872. |
file.pdf |
| Note on curves in a Jacobian.
E. Colombo and B. van Geemen Compositio Matematica 88 (1993) 333-353. |
file.pdf
alg-geom/9202015 |
| Heisenberg action and Verlinde formulas.
B. van Geemen and E. Previato In: Proceedings of the Verdier Memorial Conference, Progress in Math. 115, Birkhauser (1993). |
scan.pdf |
| Projective models of Picard Modular Varieties.
B. van Geemen In: Classification of Irregular Varieties, Springer LNM 1515 (1992) 68-99. |
file.pdf |
| Prym varieties and the Verlinde formula.
B. van Geemen and E. Previato Mathematische Annalen 294 (1992) 741-754. |
file.pdf (from GDZ)
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| An Exceptional Isomorphism between Moduli Spaces.
T. Ekedahl and B. van Geemen In: Arithmetical Algebraic Geometry, Progress in Math. 89, Birkhauser (1991) 51-74. |
scan.pdf |
| Nodal quintics in P^4.
B. van Geemen and J. Werner In: Arithmetic of Complex Manifolds; W.-P. Barth, H. Lange Eds. Springer LNM 1399, (1989) 48-59. |
scan.pdf
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| Schottky-Jung relations and vectorbundles on hyperelliptic curves.
B. van Geemen Mathematische Annalen 281 (1988) 431-449. |
file.pdf (from GDZ)
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| Kummer varieties and moduli spaces of abelian varieties.
B. van Geemen and G. van der Geer American Journal of Mathematics 108 (1986) 615-642. |
file.pdf (at JSTOR) |
| Siegel modular forms vanishing on the moduli space of curves.
B. van Geemen Inventiones Mathematicae 78 (1984) 329-349. |
file.pdf (from GDZ)
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