Commensurability classes of fake quadrics

被引：3

作者：

Linowitz, Benjamin ^{[1
]}

Stover, Matthew ^{[2
]}

Voight, John ^{[3
]}

机构：

[1] Oberlin Coll, Dept Math, 10 North Prof St, Oberlin, OH 44074 USA

[2] Temple Univ, Dept Math, 1805 N Broad St, Philadelphia, PA 19122 USA

[3] Dartmouth Coll, Dept Math, 6188 Kemeny Hall, Hanover, NH 03755 USA

来源：

SELECTA MATHEMATICA-NEW SERIES | 2019年 / 25卷 / 03期

基金：

美国国家科学基金会;

关键词：

ARITHMETIC QUOTIENTS; GENERAL TYPE; SURFACES; PRODUCT; SUBGROUPS; FORMULAS; VOLUMES; SPACES; BOUNDS; P(G);

D O I：

10.1007/s00029-019-0492-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A fake quadric is a smooth projective surface that has the same rational cohomology as a smooth quadric surface but is not biholomorphic to one. We provide an explicit classification of all irreducible fake quadrics according to the commensurability class of their fundamental group. To accomplish this task, we develop a number of new techniques that explicitly bound the arithmetic invariants of a fake quadric and more generally of an arithmetic manifold of bounded volume arising from a form of over a number field.

引用

页数：39

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Matthew Stover
John Voight
[J]. Selecta Mathematica, 2019, 25
[2] Correction to: Commensurability classes of fake quadrics
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Matthew Stover
John Voight
[J]. Selecta Mathematica, 2019, 25
[3] Commensurability classes of fake quadrics (vol 25, 48, 2019)
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