From the 1 of 6 linked papers with an AI index.
6 papers
One-sided stripe supersolidity from engineered non-axisymmetric dipolar interactions
Chao Zhang
A supersolid combines density order with phase coherence, and doped lattice solids ask whether added defects can become coherent without melting the ordered background. We study a…
Transcendental Hilbert-Kunz Multiplicities
Sudipta Das, Stephen Landsittel, Vinh Anh Pham
The authors construct a normal graded domain over any uncountable algebraically closed field of characteristic p>2 together with a homogeneous primary ideal whose Hilbert‑Kunz mult…
Transcendental Epsilon Multiplicity via Divisor Volumes
Sudipta Das, Stephen Landsittel, Vinh Anh Pham
We prove that epsilon multiplicity can take transcendental values. The main structural result is a one-ideal formula for section rings: under natural positivity hypotheses, the eps…
Generalized Hilbert-Kunz Multiplicity for Families of Ideals
Stephen Landsittel, Sudipta Das
In this paper, we initiate a systematic study of the generalized Hilbert-Kunz multiplicity for families of ideals in a Noetherian local ring (R,m) of positive characteristic, and i…
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…
Asymptotic colengths for families of ideals: an analytic approach
Sudipta Das, Cheng Meng
This article focuses on the existence of asymptotic colengths for families of $\fm_{R}$-primary ideals in a Noetherian local ring $(R,\fm)$. In any characteristic, we generalize gr…