14 citations · 85 across the 21 of their papers we have counts for
4 papers · 1 filter
The relative minimal model program for excellent algebraic spaces and analytic spaces in equal characteristic zero
Shiji Lyu, Takumi Murayama
We establish the relative minimal model program with scaling for locally projective morphisms of quasi-excellent algebraic spaces admitting dualizing complexes, quasi-excellent for…
Pure subrings of Du Bois singularities are Du Bois singularities
Charles Godfrey, Takumi Murayama
Let be a cyclically pure map of Noetherian -algebras. In this paper, we show that if has Du Bois singularities, then has Du Bois singularities. Our re…
Closure-theoretic proofs of uniform bounds on symbolic powers in regular rings
Takumi Murayama
We give short, closure-theoretic proofs for uniform bounds on the growth of symbolic powers of ideals in regular rings. The author recently proved these bounds in mixed characteris…
Variants of normality and steadfastness deform
Alexander Bauman, Havi Ellers, Gary Hu +3
The cancellation problem asks whether implies . Hamann introduced the class of steadfast rings as the rings for which…