The perverse filtration for the Hitchin fibration is locally constant
classification
🧮 math.AG
keywords
constantfiltrationhitchinlocallyperverseabeliancataldoconjecture
read the original abstract
We prove that the perverse Leray filtration for the Hitchin morphism is locally constant in families, thus providing some evidence towards the validity of the $P=W$ conjecture due to de Cataldo, Hausel and Migliorini in non Abelian Hodge theory.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.