Białynicki-Birula decomposition for reductive groups in positive characteristic

Abstract

We prove the existence of Bialynicki-Birula decomposition for Kempf monoids, which is a large class that contains for example monoids with reductive unit group in all characteristics. This extends the existence statements from previous works of Alper-Hall-Rydh and Jelisiejew-Sienkiewicz.

arXiv commentv2: author accepted manuscript for Journal de Mathématiques Pures et Appliquées