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

Mathematics

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 (US)
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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4213/rm10093e

Cite this

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abstract = "In this survey we discuss holomorphic P1-bundles p: X → Y over a non-uniruled complex compact K{\"a}hler 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.",

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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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