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On some properties of birational derived splinters
Shiji Lyu
A Noetherian reduced ring is called a birational derived splinter if for all proper birational maps , the canonical map spl…
The gamma-construction and permanence properties of the (relative) -rational signature
Shiji Lyu
We study some permanence properties of the relative -rational signature defined and studied by Smirnov--Tucker. We show that this invariant is compatible with the gamma-construc…
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…
Permanence properties of splinters via ultrapower
Shiji Lyu
We show that the splinter property ascends along regular residue field extensions, and along arbitrary regular maps in equal characteristic. We also study the splinter property of…