Log Fano varieties over function fields of curves

被引：5

作者：

Hassett, Brendan ^{[1
]}

Tschinkel, Yuri ^{[2
,3
]}

机构：

[1] Rice Univ, Dept Math, Houston, TX 77251 USA

[2] Math Inst, D-37073 Gottingen, Germany

[3] NYU, Courant Inst, New York, NY 10012 USA

来源：

INVENTIONES MATHEMATICAE | 2008年 / 173卷 / 01期

关键词：

D O I：

10.1007/s00222-008-0113-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider a smooth log Fano variety over the function field of a curve. Suppose that the boundary has positive normal bundle. Choose an integral model over the curve. Then integral points are Zariski dense, after removing an explicit finite set of points on the base curve.

引用

页码：7 / 21

页数：15

共 50 条

[1] Log Fano varieties over function fields of curves
Brendan Hassett
Yuri Tschinkel
Inventiones mathematicae, 2008, 173 : 7 - 21
[2] SCHUBERT VARIETIES ARE LOG FANO OVER THE INTEGERS
Anderson, Dave
Stapledon, Alan
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (02) : 409 - 411
[3] Families of canonically polarized manifolds over log Fano varieties
Lohmann, Daniel
COMPOSITIO MATHEMATICA, 2013, 149 (06) : 1019 - 1040
[4] Asymptotically log Fano varieties
Cheltsov, Ivan A.
Rubinstein, Yanir A.
ADVANCES IN MATHEMATICS, 2015, 285 : 1241 - 1300
[5] RATIONAL CURVES ON FANO VARIETIES
KOLLAR, J
MIYAOKA, Y
MORI, S
LECTURE NOTES IN MATHEMATICS, 1992, 1515 : 100 - 105
[6] Rational curves on Fano varieties
Kollar, J.
Miyaoka, Y.
Mori, S.
Lecture Notes in Mathematics, 1992, 1515
[7] Curves in abelian varieties over finite fields
Bogomolov, F
Tschinkel, Y
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2005, 2005 (04) : 233 - 238
[8] SIMPLE NORMAL CROSSING FANO VARIETIES AND LOG FANO MANIFOLDS
Fujita, Kento
NAGOYA MATHEMATICAL JOURNAL, 2014, 214 : 95 - 123
[9] ON ABELIAN VARIETIES OVER FUNCTION FIELDS
CHOW, WL
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1955, 41 (08) : 582 - 586
[10] Semiampleness theorem for weak log Fano varieties
Karzhemanov, I. V.
SBORNIK MATHEMATICS, 2006, 197 (9-10) : 1459 - 1465

← 1 2 3 4 5 →