3 papers
math.AG2020
Białynicki-Birula decomposition for reductive groups in positive characteristic
Joachim Jelisiejew, Łukasz Sienkiewicz
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 characteristi…
math.AG2018
Białynicki-Birula decomposition for reductive groups
Joachim Jelisiejew, Łukasz Sienkiewicz
We generalize the Białynicki-Birula decomposition from actions of on smooth varieties to actions of linearly reductive group on finite type schemes and algebraic sp…
math.CT2013
Weights for Monoids and Actions of Monoids
Łukasz Sienkiewicz, Marek Zawadowski
The main objective of the paper is to define the category of monoids as a weighted limit. We also define the category of actions of monoids along the action of a monoidal category…