ON VERLINDE SHEAVES AND STRANGE DUALITY OVER ELLIPTIC NOETHER-LEFSCHETZ DIVISORS

被引：5

作者：

Marian, Alina ^{[1
]}

Oprea, Dragos ^{[2
]}

机构：

[1] Northeastern Univ, Dept Math, Boston, MA 02115 USA

[2] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

来源：

ANNALES DE L INSTITUT FOURIER | 2014年 / 64卷 / 05期

关键词：

K3; surface; moduli space of sheaves; strange duality; HILBERT SCHEME; MODULI;

D O I：

10.5802/aif.2904

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend results on generic strange duality for K3 surfaces by showing that the proposed isomorphism holds over an entire Noether-Lefschetz divisor in the moduli space of quasipolarized K3s. We interpret the statement globally as an isomorphism of sheaves over this divisor, and also describe the global construction over the space of polarized K3s.

引用

页码：2067 / 2086

页数：20

共 4 条

[1] Higher Noether-Lefschetz loci of elliptic surfaces
Kloosterman, Remke
JOURNAL OF DIFFERENTIAL GEOMETRY, 2007, 76 (02) : 293 - 316
[2] Explicit constructions of K3 surfaces and unirational Noether-Lefschetz divisors
Hoff, Michael
Stagliano, Giovanni
JOURNAL OF ALGEBRA, 2022, 611 : 630 - 650
[3] THE NOETHER-LEFSCHETZ LOCUS OF REGULAR ELLIPTIC-SURFACES WITH SECTION AND PG GREATER-THAN-OR-EQUAL-TO 2
COX, DA
AMERICAN JOURNAL OF MATHEMATICS, 1990, 112 (02) : 289 - 329
[4] Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism
Makarova, Svetlana
EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2021, 5

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