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.
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页码：127 / 135
页数：9
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