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.

引用

页码：1966 / 1998

页数：33

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