Abelian Varieties by Hang Xue

Abelian Varieties by Hang Xue

Abelian varieties are central objects of arithmetic geometry, connecting algebraic geometry, complex analysis, automorphic forms, and number theory. They serve as relatively accessible but still nontrivial examples of general projective smooth varieties, while their moduli spaces form basic building blocks for Shimura varieties and consequently play a key role in the theory of automorphic representations and the Langlands program. The book focuses on four topics at the forefront of current research: the geometry of the moduli space of abelian varieties in positive characteristic, the Chow theory of abelian varieties, the Torelli locus within the moduli space of abelian varieties in positive characteristic, and the theory of heights on abelian varieties. This volume explores each of these aspects through the perspectives of four leading experts. It is based on the lecture notes prepared for the twenty-seventh Arizona Winter School held in March 2024 at the University of Arizona in Tucson. The speakers were Valentijn Karemaker, Ben Moonen, Rachel Pries, and Joseph H. Silverman. Written in a style accessible to students entering the field, the book offers advanced graduate students and researchers an excellent introduction to several important and active areas of modern research.

Hang Xue, The University of Arizona, Tucson, AZ

SKU	Unavailable
ISBN 13	9781470486037
ISBN 10	1470486032
Title	Abelian Varieties
Author	Hang Xue
Series	Mathematical Surveys And Monographs
Condition	Unavailable
Binding Type	Paperback
Publisher	American Mathematical Society
Year published	2026-09-01
Number of pages	268
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.