The moduli space of even surfaces of general type with K^2=8, p_g=4, q=0
主 题: The moduli space of even surfaces of general type with K^2=8, p_g=4, q=0
报告人: Dr. Wenfei Liu (北京大学)
时 间: 2015-11-9 14:00 - 15:00
地 点: Room 29 at Quan Zhai, BICMR
In the first part of the talk I will introduce briefly moduli theory in algebraic geometry, which is of central interest in the field. Compared with the case of algebraic curves, the moduli spaces of algebraic surfaces of general type, albeit their existence as quasi-projective schemes, can be as bad as possible from certain point of view. I will illustrate this through the results of Catanese and Vakil. Then I will move to the more explicit realm of surfaces of general type with small invariants and present my joint work with Catanese and Pignatelli on the moduli space of even surfaces of general type with K^2=8, p_g=4, q=0, done a couple years ago. Hopefully I will have the time to explain the idea of the construction.