Student Arithmetic Geometry Seminar: Fourier-Mukai Partners of Enriques and Bielliptic Surfaces in Positive Characteristic

Seminar | October 27 | 4:10-5 p.m. | 740 Evans Hall

 Anningzhe Gao, UCB

 Department of Mathematics

In the talk we will first review some basic material of Fourier-Mukai partners, and then we will use it to give a sketch of the proof of the following theorem: If $X$ is an Enriques (resp. bielliptic) surface over an algebraically closed field $k$ with characteristic at least 3 (resp. 5), then $X$ has no non-trivial Fourier-Mukai partners. The theorem is proved in Katrina Honigs, Max Lieblich, and Sofia Tirabassi's paper, and our talk is based on this paper.