On the finiteness theorem for rational maps on a variety of general type

被引：3
|
作者：
Guerra, Lucio [1 ]
Pirola, Gian Pietro [2 ]
机构：
[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy
[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
来源：
COLLECTANEA MATHEMATICA | 2009年 / 60卷 / 03期
关键词：
Rational maps; pluricanonical maps; varieties of general type; canonical volume; Chow varieties; PLURICANONICAL SYSTEMS; ALGEBRAIC-VARIETIES; NUMBER; PLURIGENERA; INVARIANCE;
D O I：
10.1007/BF03191371
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dominant rational maps of finite degree from a fixed variety to varieties of general type, up to birational isomorphisms, form a finite set. This has been known as the litaka-Severi conjecture, and is nowdays an established result, in virtue of some recent advances in the theory of pluricanonical maps. We study the question of finding some effective estimate for the finite number of maps, and to this aim we provide some update and refinement of the classical treatment of the subject.
引用
收藏
页码：261 / 276
页数：16
相关论文
共 50 条
12345