Autoequivalences of derived categories of elliptic surfaces with non-zero Kodaira dimension

Abstract

We study the group of autoequivalences of the derived categories of coherent sheaves on smooth projective elliptic surfaces with non-zero Kodaira dimensions. We find a description of it when each reducible fiber is a cycle of $(-2)$-curves.

46 pages; v2: lots of improvements due to referee's comments

References in corpus (1)

• Derived categories of coherent sheaves on abelian varieties and equivalences between them

Cited by in corpus (2)

• Fourier--Mukai partners of elliptic ruled surfaces
• Derived Autoequivalences of Bielliptic Surfaces