On birational geometry of minimal threefolds with numerically trivial canonical divisors

被引：7

作者：

Jiang, Chen ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

来源：

MATHEMATISCHE ANNALEN | 2016年 / 365卷 / 1-2期

关键词：

PLURICANONICAL MAPS; ALGEBRAIC; 3-FOLDS; PLURIGENERA;

D O I：

10.1007/s00208-015-1268-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a minimal threefold X with and a nef and big Weil divisor L on X, we investigate the birational geometry inspired by L. We prove that |mL| and give birational maps for all . The result remains true under weaker assumption that L is big and has no stable base components.

引用

页码：49 / 76

页数：28

共 50 条

[41] ON RELATIVE RATIONAL CHAIN CONNECTEDNESS OF THREEFOLDS WITH ANTI-BIG CANONICAL DIVISORS IN POSITIVE CHARACTERISTICS
Wang, Yuan
PACIFIC JOURNAL OF MATHEMATICS, 2017, 290 (01) : 231 - 245
[42] Three-dimensional algebraic manifolds having a divisor with a numerically trivial canonical class
Cheltsov, I
RUSSIAN MATHEMATICAL SURVEYS, 1996, 51 (01) : 140 - 141
[43] MINIMAL MODEL THEORY FOR RELATIVELY TRIVIAL LOG CANONICAL PAIRS
Hashizume, Kenta
ANNALES DE L INSTITUT FOURIER, 2018, 68 (05) : 2069 - 2107
[44] Kahler-Einstein metrics, canonical random point processes and birational geometry
Berman, Robert J.
ALGEBRAIC GEOMETRY: SALT LAKE CITY 2015, PT 1, 2018, 97 : 29 - 73
[45] The minimal model program for b-log canonical divisors and applications
Daniel Chan
Kenneth Chan
Louis de Thanhoffer de Völcsey
Colin Ingalls
Kelly Jabbusch
Sándor J. Kovács
Rajesh Kulkarni
Boris Lerner
Basil Nanayakkara
Shinnosuke Okawa
Michel Van den Bergh
Mathematische Zeitschrift, 2023, 303
[46] The minimal model program for b-log canonical divisors and applications
Chan, Daniel
Chan, Kenneth
de Volcsey, Louis de Thanhoffer
Ingalls, Colin
Jabbusch, Kelly
Kovacs, Sandor J.
Kulkarni, Rajesh
Lerner, Boris
Nanayakkara, Basil
Okawa, Shinnosuke
Van den Bergh, Michel
MATHEMATISCHE ZEITSCHRIFT, 2023, 303 (04)
[47] Birational geometry of smooth families of varieties admitting good minimal models
Taji, Behrouz
EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (04)
[48] Birational geometry of smooth families of varieties admitting good minimal models
Behrouz Taji
European Journal of Mathematics, 2023, 9
[49] ON THE ANTI-CANONICAL GEOMETRY OF WEAK Q-FANO THREEFOLDS II
Chen, Meng
Jiang, Chen
ANNALES DE L INSTITUT FOURIER, 2020, 70 (06) : 2473 - 2542
[50] ON THE ANTI-CANONICAL GEOMETRY OF WEAK Q-FANO THREEFOLDS, III
Jiang, Chen
Zou, Yu
NAGOYA MATHEMATICAL JOURNAL, 2024, 253 : 23 - 47

← 1 2 3 4 5 →