Extension of the Andersén-Lempert theory: Lie algebras of zero divergence vector fields on complex affine algebraic varieties

DOI10.1515/advgeom-2020-0004zbMath1464.32033OpenAlexW3006755514MaRDI QIDQ2664132

Fabrizio Donzelli

Publication date: 20 April 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2020-0004

zbMATH Keywords

vector fieldvolume formcomplex algebraic variety

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Group actions on affine varieties (14R20) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)

Cites Work

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• Co-invariants of Lie algebras of vector fields on algebraic varieties
• Algebraic density property of homogeneous spaces
• Algebraic volume density property of affine algebraic manifolds
• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• Algèbre de Lie des automorphismes infinitésimaux d'une structure unimodulaire
• Flexible varieties and automorphism groups
• Criteria for the density property of complex manifolds
• Lie Algebra generated by locally nilpotent derivations on Danielewski surfaces
• Algebraic theory of locally nilpotent derivations
• On the De Rham cohomology of algebraic varieties

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