BOGOMOLOV UNSTABILITY ON ARITHMETIC SURFACES

被引：0

作者：

Moriwaki, Atsushi ^{[1
]}

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 60601, Japan

来源：

MATHEMATICAL RESEARCH LETTERS | 1994年 / 1卷 / 05期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we will consider an arithmetic analogue of Bogomolov unstability theorem, i.e. if (E, h) is a torsion free Hermitian sheaf on an arithmetic surface X and (deg) over cap ((rk E - 1) (c) over cap (1)(E, h)(2) - (2 rk E)(c) over cap (2)(E, h) ) > 0, then there is a non-zero saturated subsheaf F of E such that the point (c) over cap (1) (F, h vertical bar(F))/rk F - (c) over cap (1)(E, h)/ rk E lies in the positive cone of X.

引用

页码：601 / 611

页数：11

共 8 条

[1] HOLOMORPHIC TENSORS AND VECTOR-BUNDLES ON PROJECTIVE VARIETIES
BOGOMOLOV, FA
[J]. MATHEMATICS OF THE USSR-IZVESTIYA, 1979, 13 (03): : 499 - 555
[2] CALCULUS ON ARITHMETIC SURFACES
FALTINGS, G
[J]. ANNALS OF MATHEMATICS, 1984, 119 (02) : 387 - 424
[3] HEIGHTS AND ARAKELOV INTERSECTION THEORY
HRILJAC, P
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1985, 107 (01) : 23 - 38
[4] Lang S., 1983, FUNDAMENTALS DIOPHAN, DOI 10.1007/978-1-4757-1810-2
[5] INEQUALITY OF BOGOMOLOV-GIESEKER TYPE ON ARITHMETIC SURFACES
MORIWAKI, A
[J]. DUKE MATHEMATICAL JOURNAL, 1994, 74 (03) : 713 - 761
[6] Moriwaki A., ALGEBRAIC GEOMETRY E
[7] Moriwaki A., AM J MATH IN PRESS
[8] A VANISHING THEOREM ON ARITHMETIC SURFACES
SOULE, C
[J]. INVENTIONES MATHEMATICAE, 1994, 116 (1-3) : 577 - 599

← 1 →