Abelian Varieties, Quaternion Trick and Endomorphisms

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The quaternion trick is an explicit construction that associates to a polarized abelian variety X a principal polarization of (X×Xt)4. The aim of this note is to show that this construction is compatible with endomorphisms of X and Xt. See Theorem 1.1 for a precise statement.

Original languageEnglish (US)
Title of host publicationBirational Geometry, Kähler–Einstein Metrics and Degenerations
EditorsIvan Cheltsov, Xiuxiong Chen, Ludmil Katzarkov, Jihun Park
PublisherSpringer
Pages857-864
Number of pages8
ISBN (Print)9783031178580
DOIs
StatePublished - 2023
EventInternational Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019 - Moscow, Russian Federation
Duration: Apr 8 2019Apr 13 2019

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume409
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Birational Geometry, Kaehler-Einstein Metrics and Degenerations, BGKEMD 2019
Country/TerritoryRussian Federation
CityMoscow
Period4/8/194/13/19

All Science Journal Classification (ASJC) codes

  • General Mathematics

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