Rank two weak Fano bundle on the del Pezzo threefold of degree five

Abstract: A weak Fano bundle is a vector bundle whose projectivization has nef and big anti-canonical divisor. In this talk, we discuss a classification of rank two weak Fano bundles on the del Pezzo threefold X of degree five. In particular, we see that stable weak Fano bundles on X with trivial first Chern class are instanton in the sense of Kuznetsov. After that, using the theory of derived categories, we give resolutions of weak Fano bundles by typical vector bundles on X, and apply those resolutions to investigate the moduli spaces of weak Fano bundles. This is joint work with T. Fukuoka and D. Ishikawa.

algebraic geometry

Audience: researchers in the topic

( video )

Fano Varieties and Birational Geometry