Complex tori, theta groups and their Jordan properties

DOI10.1134/S0081543819060026zbMath1442.14047arXiv1902.06184OpenAlexW3013991325MaRDI QIDQ2185499

Yuri G. Zarhin

Publication date: 4 June 2020

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06184

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Compact complex (n)-folds (32J18) Algebraic theory of abelian varieties (14K05) Theta functions and curves; Schottky problem (14H42)

Related Items (5)

Jordan property for automorphism groups of compact spaces in Fujiki's class C$\mathcal {C}$ ⋮ Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds ⋮ Equivariant minimal model program ⋮ Bimeromorphic automorphism groups of certain \(\mathbb{P}^1\)-bundles ⋮ Fiberwise bimeromorphic maps of conic bundles

Cites Work

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• Complex abelian varieties and theta functions
• The Jordan property for Lie groups and automorphism groups of complex spaces
• Automorphism groups of Inoue and Kodaira surfaces
• Automorphism groups of Moishezon threefolds
• Jordan groups and elliptic ruled surfaces
• On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties
• Differential Analysis on Complex Manifolds
• Jordan property for non-linear algebraic groups and projective varieties
• Jordan groups, conic bundles and abelian varieties
• Theta Groups and Products of Abelian and Rational Varieties
• Complex tori

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