Intersection theory on moduli of smooth complete intersections

被引：2

作者：

Di Lorenzo, Andrea ^{[1
]}

机构：

[1] Humboldt Univ, Berlin, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 304卷 / 03期

基金：

瑞典研究理事会;

关键词：

CHOW RINGS; CURVES; SPACES;

D O I：

10.1007/s00209-023-03299-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a general method for computing rational Chow rings of moduli of smooth com-plete intersections. We specialize this result in different ways: to compute the integral Picard group of the associated stack; to obtain an explicit presentation of rational Chow rings of moduli of smooth complete intersections of codimension two; to prove old and new results on moduli of smooth curves of genus = 5 and polarized K3 surfaces of degree = 8.

引用

页数：39

共 20 条

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[2] THE PICARD GROUP OF THE MODULI OF SMOOTH COMPLETE INTERSECTIONS OF TWO QUADRICS
Asgarli, Shamil
Inchiostro, Giovanni
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[3] Benoist O., 2013, J LOND MATH SOC, V87, P1
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[5] Benoist O, 2012, ANN I FOURIER, V62, P1189
[6] Canning S, 2023, Arxiv, DOI arXiv:2104.05820
[7] COHOMOLOGICAL INVARIANTS OF THE STACK OF HYPERELLIPTIC CURVES OF ODD GENUS
Di Lorenzo, A.
[J]. TRANSFORMATION GROUPS, 2021, 26 (01) : 165 - 214
[8] Di Lorenzo A, 2019, Arxiv, DOI arXiv:1910.08758
[9] THE INTEGRAL CHOW RING OF THE STACK OF SMOOTH NON-HYPERELLIPTIC CURVES OF GENUS THREE
Di Lorenzo, Andrea
Fulghesu, Damiano
Vistoli, Angelo
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (08) : 5583 - 5622
[10] Picard group of moduli of curves of low genus in positive characteristic
Di Lorenzo, Andrea
[J]. MANUSCRIPTA MATHEMATICA, 2021, 165 (3-4) : 339 - 361

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