Derived Autoequivalences of Bielliptic Surfaces

2017/01/04 by Rory Potter, Potter, Rory · 1 citation
Mathematics · #14F05 #14J27 #18E30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG #msc:14F05 #msc:14J27 #msc:18E30

paper · pdf · doi:10.48550/arxiv.1701.01015

AMS-LaTeX, 15 pages with 1 table. Removed Lemma 2.10 and Remark 2.11 from the previous version as they are false. The gap which is left in the proof of Theorem 1.1 is filled. References updated

openalex publication_date 2017/01/04 · arxiv created 2017/02/10 · arxiv updated 2017/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the group of exact autoequivalences of the bounded derived category of coherent sheaves on a bielliptic surface. We achieve this by studying its action on the numerical Grothendieck group of the surface.

Citations

• Fourier--Mukai partners of elliptic ruled surfaces
• Fourier-Mukai transforms for quotient varieties

Cited by

• A Note on Categorical Entropy of Bielliptic Surfaces and Enriques Surfaces

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