Formal groupoids

被引：1

作者：

McQuillan, Michael ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Via Ric Sci 1, I-00133 Rome, Italy

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 8卷 / SUPPL 2期

关键词：

Positive characteristic differential geometry; CURVES;

D O I：

10.1007/s40879-022-00565-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide foundations for a characteristic free study of foliated varieties in terms of infinitesimal actions of formal groupoids. The ultimate goal is the bi-rational geometry of the same, and to this end we prove a cone theorem for foliations in curves, together with structure theorems for extremal rays, and, of course, a minimal model theorem for surfaces. All possible wild ramification effects of Deligne-Mumford champ are built in, along with the occasional use of Artin champ to address the Q-Gorenstein condition.

引用

页码：629 / 673

页数：45

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