SURFACES WITH CANONICAL MAP OF MAXIMUM DEGREE

被引：3

作者：

Rito, Carlos ^{[1
,2
]}

机构：

[1] Univ Tras Os Montes & Alto Douro, UTAD, P-5000801 Vila Real, Portugal

[2] Univ Porto, Fac Ciencias, Dept Matemat, Rua Campo Alegre 687, P-4169007 Porto, Portugal

来源：

JOURNAL OF ALGEBRAIC GEOMETRY | 2022年 / 31卷 / 01期

关键词：

D O I：

10.1090/jag/761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the Borisov-Keum equations of a fake projective plane and the Borisov-Yeung equations of the Cartwright-Steger surface to show the existence of a regular surface with canonical map of degree 36 and of an irregular surface with canonical map of degree 27. As a by-product, we get equations (over a finite field) for the Z/3-invariant fibres of the Albanese fibration of the Cartwright-Steger surface and show that they are smooth.

引用

页码：127 / 135

页数：9

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