On algebraic surfaces of general type with negative c2

被引：4
|
作者：
Gu, Yi [1 ,2 ]
机构：
[1] Peking Univ, 5 Yiheyuan Rd, Beijing, Peoples R China
[2] Univ Bordeaux, Inst Math Bordeaux, 351 Cours Liberat, F-33405 Talence, France
来源：
COMPOSITIO MATHEMATICA | 2016年 / 152卷 / 09期
关键词：
Euler characteristics; surfaces of general type; GEOGRAPHY; NUMBERS; CURVES;
D O I：
10.1112/S0010437X16007491
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that for any prime number p >= 3, there exists a positive number kappa(p) such that x(O-x) >= kappa C-p(1)2 holds true for all algebraic surfaces X of general type in characteristic p. In particular, x(O-x) > 0. This answers a question of Shepherd-Barron when p >= 3.
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页码：1966 / 1998
页数：33
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