3 papers
math.AG2026
Structural properties of Białynicki-Birula decompositions
Teddy Gonzales, Chayim Lowen
We investigate several aspects of the Bialynicki-Birula decomposition of a smooth complete -variety with finite fixed locus. Our results include novel characterizatio…
math.RA2026
On the asymptotic behavior of finite hyperfields
Tuong Le, Chayim Lowen
Hobby has recently shown that almost all finite hyperfields of even order fail to be the quotient of a field. Using a probabilistic argument, we extend this result to all orders: a…
math.CO2025
Simultaneous generating sets for flags
Federico Glaudo, Noah Kravitz, Chayim Lowen
We prove that any triple of complete flags in admits a common generating set of size and that this bound is sharp. This result extends the class…