Date: Monday, January 28, 2013
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: Fujita's conjecture in characteristic p
Abstract: We will discuss a result by K.E.Smith on Fujita's freeness conjecture in positive characteristic. If X is a smooth projective variety of dimension d over an algebraically closed field of characteristic p and L is an ample globally generated line bundle on X, then K_X+mL is globally generated when m\geq d+1. The original proof uses tight closure, I will present D.Keeler's simplied proof of this result and some generalizations (for example Fujita's very ampleness conjecture in this setting).
Speaker: Linquan Ma
Institution: UM
Event Organizer:
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