Symplectic Moduli Space of 1-dimensional Sheaves on Poisson Surfaces

We show that the Poisson structure on the smooth locus of a moduli space of 1-dimensional sheaves on a Poisson projective surface $X$ over $\mathbb{C}$ is a reduction of a natural symplectic structure.

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Publication Details

Journal
Taiwanese Journal of Mathematics
Published
2025-09-12
DOI
https://doi.org/10.11650/tjm/250809
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00

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article

Symplectic Moduli Space of 1-dimensional Sheaves on Poisson Surfaces

Taiwanese Journal of Mathematics
Geochemistry and Geologic Mapping
article

Symplectic Moduli Space of 1-dimensional Sheaves on Poisson Surfaces

article en

Abstract

We show that the Poisson structure on the smooth locus of a moduli space of 1-dimensional sheaves on a Poisson projective surface $X$ over $\mathbb{C}$ is a reduction of a natural symplectic structure.

Taiwanese Journal of MathematicsVol. 29(6)
Université de Lille (FR), Shiv Nadar University (IN)
Agence Nationale de la Recherche
Openalex Percentile: Top 38%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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Symplectic Moduli Space of 1-dimensional Sheaves on Poisson Surfaces · Taiwanese Journal of Mathematics (2025) | TGRS Research Map | TGRS