Measures of association between algebraic varieties

被引：1

作者：

Lazarsfeld, Robert ^{[1
]}

Martin, Olivier ^{[1
,2
]}

机构：

[1] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[2] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, RJ, Brazil

来源：

SELECTA MATHEMATICA-NEW SERIES | 2023年 / 29卷 / 03期

关键词：

14E99; 14E20; 14C99; CURVES; GONALITY; CONJECTURE; PRODUCTS;

D O I：

10.1007/s00029-023-00849-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper begins the exploration of what we call measures of association between two irreducible complex projective varieties of the same dimension. The idea is to study from various points of view the minimal complexity of correspondences between them. We extend to this setting results about degrees of irrationality for hypersurfaces, and we study joint covering invariants for pairs of curves and hypersurfaces. We also propose a number of conjectures and open problems.

引用

页数：37

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