5 papers · 1 filter
Transcendental Hilbert-Kunz Multiplicities
Sudipta Das, Stephen Landsittel, Vinh Anh Pham
We prove that ordinary Hilbert-Kunz multiplicity can be transcendental. More precisely, over every uncountable algebraically closed field of characteristic , there exists a no…
Analytic Spread via Linear Matroids
Stephen Landsittel, Eran Nevo
We give a systematic analysis of the analytic spread of the determinantal ideal arising from a pair of graphs . We give sharp bounds for this analytic spread, and…
Some Remarks About Saturation of Ideals
Souvik Dey, Stephen Landsittel
In this paper we observe when saturation of ideals in a local ring R commutes with extension along ring maps and initial ideals. We give a characterization in terms of Cohen Macaul…
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…
Composite Linear Quotient Orderings of Ideals and Modified Anticycles
Stephen Landsittel
In this paper we give a construction for a linear quotient ordering of a class of products of two ideals which have linear quotients. We apply this construction to give a class of…