Integral Picard group of moduli of polarized K3 surfaces

被引：1

作者：

Di Lorenzo, Andrea ^{[1
]}

Fringuelli, Roberto ^{[2
]}

Vistoli, Angelo ^{[3
]}

机构：

[1] Humboldt Univ, Berlin, Germany

[2] Univ Roma La Sapienza, Rome, Italy

[3] Scuola Normale Super Pisa, Pisa, Italy

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2024年 / 56卷 / 02期

关键词：

SPACES;

D O I：

10.1112/blms.12968

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the integral Picard group of the moduli stack of polarized K3 surfaces of fixed degree whose singularities are at most rational double points, and of its coarse moduli space. We also compute the integral Picard group of the stack of quasi-polarized K3 surfaces, and of the stacky period domain.

引用

页码：833 / 846

页数：14

共 26 条

[1] THE PICARD-GROUPS OF THE MODULI SPACES OF CURVES
ARBARELLO, E
CORNALBA, M
[J]. TOPOLOGY, 1987, 26 (02) : 153 - 171
[2] Artin Michael, 1971, Lecture Notes in Mathematics, V269
[3] THE PICARD GROUP OF THE MODULI OF SMOOTH COMPLETE INTERSECTIONS OF TWO QUADRICS
Asgarli, Shamil
Inchiostro, Giovanni
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 372 (05) : 3319 - 3346
[4] COMPACTIFICATION OF ARITHMETIC QUOTIENTS OF BOUNDED SYMMETRIC DOMAINS
BAILY, WL
BOREL, A
[J]. ANNALS OF MATHEMATICS, 1966, 84 (03) : 442 - &
[5] The Noether-Lefschetz conjecture and generalizations
Bergeron, Nicolas
Li, Zhiyuan
Millson, John
Moeglin, Colette
[J]. INVENTIONES MATHEMATICAE, 2017, 208 (02) : 501 - 552
[6] On the rank of Picard groups of modular varieties attached to orthogonal groups
Bruinier, JH
[J]. COMPOSITIO MATHEMATICA, 2002, 133 (01) : 49 - 63
[7] The integral Picard groups of low-degree Hurwitz spaces
Canning, Samir
Larson, Hannah
[J]. MATHEMATISCHE ZEITSCHRIFT, 2023, 303 (03)
[8] Debarre O., 2018, HYPERK HLER MANIFOLD
[9] Di Lorenzo A., 2019, INTEGRAL PICARD GROU
[10] Intersection theory on moduli of smooth complete intersections
Di Lorenzo, Andrea
[J]. MATHEMATISCHE ZEITSCHRIFT, 2023, 304 (03)

← 1 2 3 →