Automorphism groups of P1-bundles over a non-uniruled base

Tatiana Bandman; Yu G. Zarhin

doi:10.4213/rm10093e

Automorphism groups of P¹-bundles over a non-uniruled base

Tatiana Bandman, Yu G. Zarhin

Department of Mathematics

Pennsylvania State University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this survey we discuss holomorphic P¹-bundles p: X → Y over a non-uniruled complex compact Kähler manifold Y, paying a special attention to the case when Y is a complex torus. We consider the groups Aut(X) and Bim(X) of its biholomorphic and bimeromorphic automor-phisms, respectively, and discuss when these groups are bounded, Jordan, strongly Jordan, or very Jordan.

Original language	English
Pages (from-to)	1-64
Number of pages	64
Journal	Russian Mathematical Surveys
Volume	78
Issue number	1
DOIs	https://doi.org/10.4213/rm10093e
State	Published - 2023

Bibliographical note

Publisher Copyright:
© 2023 Russian Academy of Sciences, Steklov Mathematical Institute of RAS.

Keywords

Jordan properties of groups
algebraic dimension 0
automorphism groups of compact complex manifolds
complex tori
conic bundles

Access to Document

10.4213/rm10093e

Cite this

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