3 papers
math.AC2025
Symbolic powers via extension
Sankhaneel Bisui, Haoxi Hu
This article investigates under which conditions the symbolic powers of the extension of an ideal is the same as the extension of the symbolic powers. Our result generalizes the kn…
math.AC2025
Lower bounds for Waldschmidt constants and Demailly's Conjecture for general and very general points
Sankhaneel Bisui, Thai Thanh Nguyen
We prove Demailly's Conjecture concerning the lower bound for the Waldschmidt constant in terms of the initial degree of the second symbolic powers for any set of generic points or…
math.AC2025
Rational powers, invariant ideals, and the summation formula
Sankhaneel Bisui, Sudipta Das, TÃ i Huy HÃ +1
We provide explicit descriptions for the rational powers and Rees valuations of several classes of ideals invariant under natural actions of tori and products of general linear gro…