Algebraic Geometry Seminar: Sandor Kovacs
Topic
Vanishing theorems and their failure in positive characteristic
Speakers
Details
Abstract
The Kodaira vanishing theorem and its generalizations are extremely important tools in higher dimensional geometry and the failure of these theorems in positive characteristic causes great difficulties in extending the existing theories to that realm. In this talk I will discuss new results about cases where an appropriate vanishing theorem holds and cases where the expected one fails even in characteristic zero. These results are joint works (separately) with Christopher Hacon and with János Kollár.
