Work

Fourier-Mukai transforms by a family of stable sheaves and preservation of stability

Year: 2026

Type: preprint

Abstract: For a Fourier-Mukai transform whose kernel is a family of Gieseker stable sheaves, we shall give a condition for the preservation of Gieseker stability of sheaves.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.19449

Author: Yoshioka, Kota

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Awards: Symplectic algebraic geometry and moduli spaces, Moduli of stable sheaves, Algebraic Geometry and Integrable Systems -- Moduli theory and Equations of Painleve type, 安定層のモジュライ空間の研究

OpenAlex ID: W7222121923

Cites: 2

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