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
收藏
页码：2301 / 2332
页数：32
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