Measures of association between algebraic varieties

被引:0
作者
Robert Lazarsfeld
Olivier Martin
机构
[1] Stony Brook University,Department of Mathematics
[2] Rio de Janeiro,Instituto de Matemática Pura e Aplicada
来源
Selecta Mathematica | 2023年 / 29卷
关键词
14E99; 14E20; 14C99;
D O I
暂无
中图分类号
学科分类号
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
收藏
相关论文
共 28 条
  • [1] Alzati A(1993)Rational orbits on three-symmetric products of abelian varieties Trans. AMS 337 965-980
  • [2] Pirola GP(2012)On symmetric products of curves Trans. AMS 364 2493-2519
  • [3] Bastianelli F(2019)Gonality of curves on general hypersurfaces J. Math. Pures Appl. 125 94-118
  • [4] Bastianelli F(2014)The gonality theorem of Noether for hypersurfaces J. Algebr. Geom. 23 313-339
  • [5] Ciliberto C(2017)Measures of irrationality for hypersurfaces of large degree Compos. Math. 153 2368-2393
  • [6] Flamini F(1989)Jacobian endomorphisms Rend. Sem. Mat. Fis. Milano 59 213-242
  • [7] Supino P(1990)Some density results for curves with non-simple Jacobians Math. Ann. 288 161-178
  • [8] Bastianelli F(1988)Subvarieties of generic complete intersections Invent. Math. 94 163-169
  • [9] Cortini R(1985)The period map for hypersurface sections of high degree of an arbitrary variety Compos. Math. 55 135-156
  • [10] De Poi P(1995)Nonrational hypersurfaces J. Am. Math. Soc. 8 241-249