ON THE IRREDUCIBILITY OF SEVERI VARIETIES ON K3 SURFACES

被引：4

作者：

Ciliberto, C. ^{[1
]}

Dedieu, Th. ^{[2
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy

[2] Univ Toulouse, Inst Math Toulouse, CNRS, UMR5219,UPS,IMT, F-31062 Toulouse 9, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 10期

基金：

欧盟地平线“2020”;

关键词：

RATIONAL CURVES; EQUISINGULAR FAMILIES; PARAMETER SPACES; DIVISORS;

D O I：

10.1090/proc/14559

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (S, L) be a polarized K3 surface of genus p >= 11 such that Pic(S) = Z[L] and delta is a non-negative integer. We prove that if p >= 4 delta - 3, then the Severi variety of delta-nodal curves in vertical bar L vertical bar is irreducible.

引用

页码：4233 / 4244

页数：12

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