3 papers
math.AC2026
Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings
Marta Benozzo, Vignesh Jagathese, Vaibhav Pandey +3
We study the plus-pure threshold (ppt) of hypersurfaces in mixed characteristic. We show that the ppt limits to the -pure threshold (fpt) as we ramify the base DVR. Additionally…
math.AC2025
On F-pure thresholds and quasi-F-purity of hypersurfaces
Jack J Garzella, Vignesh Jagathese
We show that quasi--pure but not -pure isolated quasi-homogeneous hypersurface singularities necessarily have -pure threshold . This extends work of Bhatt…
math.AC2025
On Quasi--Purity of Excellent Rings
Vignesh Jagathese
We introduce an analogue to Quasi--splittings, Quasi--purity, which is definable over rings that are not necessarily -finite. We show that this property is equivalent to b…