Canonical lifting of the rational nodal curve in positive characteristic


Mao Sheng ( University of Science and Technology of China, China )
2018-02-06  16:20 - 17:10
Room 101, Mathematics Research Center Building (ori. New Math. Bldg.)

Serre-Tate's theory provides a canoincal lifting for an ordinary elliptic curves over a perfect field $k$ of positive characteristic. In this talk, we will give another characterization of Serre-Tate's lifting on ordinary curves. Our theory extends over the log setting and therefore provides also a canonical lifting for the rational nodal curve over $k$. This is a joint work with Kang Zuo.