2 papers
math.AG2026
Deformations, local freeness, and base change for higher Du Bois singularities
Haoming Ning
We prove that strict higher Du Bois singularities are invariant under small deformations. Using this, we prove a base change theorem for the relative Du Bois complex with strict hi…
math.AG2026
Higher Du Bois and Higher Rational Pairs
Haoming Ning, Brian Nugent
We extend the notions of higher Du Bois and higher rational singularities to pairs in the sense of the minimal model program. We extend numerous results to these higher pairs, incl…