EVENT DETAILS AND ABSTRACT

Title: Pathologies on surfaces in characteristic p
Speaker: Xudong Zheng
Speaker Info: UIC
Brief Description:
Special Note:
Abstract:

In this talk, I will present some constructions of algebraic surfaces in characteristic p which violate the Kodaira vanishing theorem. These surfaces also provide counterexamples to Fujita's positivity theorem for fibered surfaces. Further pathologies on these examples include the existence of non-closed global differential 1-forms and global vector fields, which are both known to be impossible in characteristic zero.