SPECIAL TRIPLE COVERS OF ALGEBRAIC SURFACES

被引：0

作者：

Istrati, Nicolina ^{[1
]}

Pokora, Piotr ^{[2
]}

Rollenske, Soenke ^{[1
]}

机构：

[1] Philipps Univ Marburg, FB Math & Informat 12, Hans Meerwein Str 6, D-35032 Marburg, Germany

[2] Pedag Univ Krakow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland

来源：

DOCUMENTA MATHEMATICA | 2022年 / 27卷

关键词：

triple covers; K3; surfaces; surface of general type;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study special triple covers f : T -> S of algebraic surfaces, where the Tschirnhausen bundle epsilon = (f(*)O(T) /O-S)((sic)) is a quotient of a split rank three vector bundle, and we provide several necessary and sufficient criteria for the existence. As an application, we give a complete classification of special triple planes, finding among others two nice families of K3 surfaces.

引用

页码：2301 / 2332

页数：32

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