Fourier-Mukai transforms for quotient varieties

1998/11/17 by Tom Bridgeland, Bridgeland, Tom, Antony Maciocia +1 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG

paper · pdf · doi:10.48550/arxiv.math/9811101

15 pages

arxiv created 1998/11/17 · openalex publication_date 1998/11/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Fourier-Mukai transforms for smooth projective varieties whose canonical bundles have finite order, and relate them to equivariant transforms on certain finite covering spaces. Our results lead to new equivalences of derived categories for Enriques and bielliptic surfaces.

Cited by

• Derived Autoequivalences of Bielliptic Surfaces
• A Note on Categorical Entropy of Bielliptic Surfaces and Enriques Surfaces
• Varieties with \mathbb P-units

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