The dual complex of a G-variety

Louis Esser

doi:10.1007/s00209-024-03611-8

The dual complex of a G-variety

Louis Esser

Mathematics

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

Abstract

We introduce a new invariant of G-varieties, the dual complex, which roughly measures how divisors in the complement of the free locus intersect. We show that the top homology group of this complex is an equivariant birational invariant of G-varieties. As an application, we demonstrate the non-linearizability of certain large abelian group actions on smooth hypersurfaces in projective space of any dimension and degree at least 3.

Original language	English (US)
Article number	51
Journal	Mathematische Zeitschrift
Volume	308
Issue number	3
DOIs	https://doi.org/10.1007/s00209-024-03611-8
State	Published - Nov 2024

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

14E08
Equivariant birational geometry
Hypersurfaces
Linearizable actions
Primary 14L30
Secondary 14J70

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10.1007/s00209-024-03611-8

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KW - Equivariant birational geometry

KW - Hypersurfaces

KW - Linearizable actions

KW - Primary 14L30

KW - Secondary 14J70

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ER -

The dual complex of a G-variety

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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