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arXiv · 1805.04338

Motivic Cell Structures for Spherical Varieties

Konrad Voelkel
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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.

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Konrad Voelkel. 2018-05-11. Motivic Cell Structures for Spherical Varieties. https://arxiv.org/abs/1805.04338

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