Derived Autoequivalences of Bielliptic Surfaces

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.

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