Toric Supervarieties with One Odd Dimension

Abstract In this paper we describe the notion of a toric supervariety, generalizing that of a toric variety from the classical setting. We give a combinatorial interpretation of the category of quasinormal toric supervarieties with one odd dimension using decorated polyhedral fans. We then use this interpretation to calculate some invariants of these supervarieties and extract geometric information from them.

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Publication Details

Journal
Transformation Groups
Published
2024-11-21
DOI
https://doi.org/10.1007/s00031-024-09889-6
Citations
1
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
1.32
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article

Toric Supervarieties with One Odd Dimension

Eric Jankowski
1 citations
Transformation Groups
Advanced Combinatorial Mathematics
1.32
article

Toric Supervarieties with One Odd Dimension

Eric Jankowski
article en
1 citations

Abstract

Abstract In this paper we describe the notion of a toric supervariety, generalizing that of a toric variety from the classical setting. We give a combinatorial interpretation of the category of quasinormal toric supervarieties with one odd dimension using decorated polyhedral fans. We then use this interpretation to calculate some invariants of these supervarieties and extract geometric information from them.

Transformation Groups
University of California, Berkeley (US)
Sustainable cities and communities
Openalex Percentile: Top 20%
Advanced Combinatorial Mathematics
1.32
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Toric Supervarieties with One Odd Dimension — Eric Jankowski · Transformation Groups (2024) | TGRS Research Map | TGRS