Semi-stable minimal model program for varieties with trivial canonical divisor

被引：41

作者：

Fujino, Osamu ^{[1
]}

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068502, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2011年 / 87卷 / 03期

关键词：

Semi-stable minimal model; varieties with trivial canonical divisor; termination of flips; Movable divisors; movable cone; LOG; EXISTENCE;

D O I：

10.3792/pjaa.87.25

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a sufficient condition for the termination of flips. Then we discuss a semi-stable minimal model program for varieties with (numerically) trivial canonical divisor as an application. We also treat a slight refinement of dlt blow-ups.

引用

页码：25 / 30

页数：6

共 50 条

[41] Deformations of singular symplectic varieties and termination of the log minimal model program
Lehn, Christian
Pacienza, Gianluca
ALGEBRAIC GEOMETRY, 2016, 3 (04): : 392 - 406
[42] The Log Minimal Model Program for Horospherical Varieties Via Moment Polytopes
Boris Pasquier
Acta Mathematica Sinica, English Series, 2018, 34 : 542 - 562
[43] On the minimal model program for projective varieties with pseudo-effective tangent sheaf
Matsumura, Shin-ichi
EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2023, 7
[44] GLOBALLY plus -REGULAR VARIETIES AND THE MINIMAL MODEL PROGRAM FOR THREEFOLDS IN MIXED CHARACTERISTIC
Bhatt, Bhargav
Ma, Linquan
Patakfalvi, Zsolt
Schwede, Karl
Tucker, Kevin
Waldron, Joe
Witaszek, Jakub
PUBLICATIONS MATHEMATIQUES DE L IHES, 2023, 138 (01): : 69 - 227
[45] Finiteness of log Abundant log Canonical Pairs in log Minimal Model Program with Scaling
Hashizume, Kenta
MICHIGAN MATHEMATICAL JOURNAL, 2024, 74 (05) : 1053 - 1108
[46] LOG MINIMAL MODEL PROGRAM FOR THE MODULI SPACE OF STABLE CURVES OF GENUS THREE
Hyeon, Donghoon
Lee, Yongnam
MATHEMATICAL RESEARCH LETTERS, 2010, 17 (04) : 625 - 636
[47] ON THE FIRST STEPS OF THE MINIMAL MODEL PROGRAM FOR THE MODULI SPACE OF STABLE POINTED CURVES
Codogni, Giulio
Tasin, Luca
Viviani, Filippo
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2023, 22 (01) : 145 - 211
[48] Log minimal model program for the moduli space of stable curves: the first flip
Hassett, Brendan
Hyeon, Donghoon
ANNALS OF MATHEMATICS, 2013, 177 (03) : 911 - 968
[49] The Good Quotient of the Semi-Stable Foliations of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{CP}}^2$$\end{document} of Degree 1
Claudia R. Alcántara
Results in Mathematics, 2009, 53 (1-2) : 1 - 7
[50] Uniqueness of the critical point for semi-stable solutions in R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^2$$\end{document}
Fabio De Regibus
Massimo Grossi
Debangana Mukherjee
Calculus of Variations and Partial Differential Equations, 2021, 60 (1)

← 1 2 3 4 5 →