SOME ELEMENTARY EXAMPLES OF NON-LIFTABLE VARIETIES

被引：8

作者：

Achinger, Piotr ^{[1
]}

Zdanowicz, Maciej ^{[2
]}

机构：

[1] Inst Matemat PAN, Banach Ctr, Sniadeckich 8, Warsaw, Poland

[2] UW, Wydzial Matemat Informat & Mech, Banacha 2, Warsaw, Poland

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 11期

关键词：

mod p(2) deformation; Frobenius morphism; characteristic p line configurations; BOGOMOLOV-MIYAOKA-YAU; AUTOMORPHISMS; INEQUALITY; SURFACES;

D O I：

10.1090/proc/13622

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some simple examples of smooth projective varieties in positive characteristic, arising from linear algebra, which do not admit a lifting neither to characteristic zero, nor to the ring of Witt vectors of length 2. Our first construction is the blow-up of the graph of the Frobenius morphism of a homogeneous space. The second example is a blow-up of P-3 in a 'purely characteristic-p' configuration of points and lines.

引用

页码：4717 / 4729

页数：13

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