Irreducible unirational and uniruled components of moduli spaces of polarized Enriques surfaces

被引：4

作者：

Ciliberto, Ciro ^{[1
]}

Dedieu, Thomas ^{[2
]}

Galati, Concettina ^{[3
]}

Knutsen, Andreas Leopold ^{[4
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Scientif, I-00173 Rome, Italy

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

[3] Univ Calabria, Dipartimento Matemat & Informat, Via P Bucci,Cubo 31B, I-87036 Arcavacata Di Rende, CS, Italy

[4] Univ Bergen, Dept Math, Postboks 7800, N-5020 Bergen, Norway

来源：

MATHEMATISCHE ZEITSCHRIFT | 2023年 / 303卷 / 03期

基金：

欧盟地平线“2020”;

关键词：

D O I：

10.1007/s00209-023-03226-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that infinitely many irreducible components of the moduli space of polarized Enriques surfaces are unirational (resp. uniruled), characterizing them in terms of decompositions of the polarization as an effective sum of isotropic classes. In particular, this applies to components of arbitrarily large genus g and phi-invariant of the polarization.

引用

页数：34

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