Algebraic Geometry Seminar
Arend Bayer
University of Connecticut
Projectivity and birational geometry of Bridgeland moduli spaces
Abstract: I will present a construction of a nef divisor for every moduli space of
Bridgeland stable complexes on an algebraic variety. In the case of K3
surfaces, we can use it to prove projectivity of the moduli space,
generalizing a result of Minamide, Yanagida and Yoshioka. Its dependence
on the stability condition gives a systematic explanation for the
compatibility of wall-crossing of the moduli space with its birational
transformations; this phenomenon had first been observed by
Arcara-Bertram. This is based on joint work with Emanuele Macrì.
Wednesday February 15, 2012 at 5:00 PM in SEO 427