INVARIANTS OF ALGEBRAIC VARIETIES OVER IMPERFECT FIELDS

被引：4

作者：

Tanaka, Hiromu ^{[1
]}

机构：

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

来源：

TOHOKU MATHEMATICAL JOURNAL | 2021年 / 73卷 / 04期

关键词：

Imperfect fields; generic fibres; positive characteristic; SURFACES; CLASSIFICATION;

D O I：

10.2748/tmj.20200611

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce four invariants of algebraic varieties over imperfect fields, each of which measures either geometric non-normality or geometric non-reducedness. The first objective of this article is to establish fundamental properties of these invariants. We then apply our results to curves over imperfect fields. In particular, we establish a genus change formula and prove the boundedness of non-smooth regular curves of genus one. We also compute our invariants for some explicit examples.

引用

页码：471 / 538

页数：68

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