Motivic Cell Structures for Spherical Varieties

Abstract

In this note, we give a general method to obtain unstable motivic cell structures, following Wendt's application of the Bialynicki-Birula algebraic Morse theory. We then apply the method to spherical varieties, with special attention to the case of rank 1, to obtain unstable motivic cell structures after a finite number of ${\mathbb{P}}^1$-suspensions. This work is a partial derivative of the first two chapters of the author's 2016 PhD thesis.

12 pages, comments welcome

References in corpus (1)

• On unipotent quotients and some A^1-contractible smooth schemes