48 citations · 61 across the 7 of their papers we have counts for
7 papers
The Fedder action and a simplicial complex of local cohomologies
Eric Canton, Monica Lewis
Let be a regular ring of prime characteristic , and let be a permutable regular sequence of codimension . We describe a…
On multistability behavior of Unstable Dissipative Systems
Andres Anzo Hernández, Hector Eduardo Gilardi-Velázquez, Eric Campos Cantón
We present a dissipative system with unstable dynamics called unstable dissipative system which are capable of generating a multi-stable behavior, i.e., depending on its initial co…
Berkovich log discrepancies in positive characteristic
Eric Canton
We introduce and study a log discrepancy function on the space of semivaluations centered on an integral noetherian scheme of positive characteristic. Our definition shares many pr…
A note on injectivity of Frobenius on local cohomology of global complete intersections
Eric Canton
Given a graded complete intersection ideal , where is a field of characteristic such that , we…
On the behavior of singularities at the -pure threshold
Eric Canton, Daniel Hernández, Karl Schwede +6
We provide a family of examples where the -pure threshold and the log canonical threshold of a polynomial are different, but where does not divide the denominator of the …
A Note on Injectivity of Frobenius on Local Cohomology of Hypersurfaces
Eric Canton
Let be a field of characteristic such that and let be homogeneous of degree . We obtain a sharp bound on the degrees…
Relating F-Signature and F-Splitting Ratio of Pairs Using Left-Derivatives
Eric Canton
We first relate an approximate -order left derivative of at the F-pure threshold to the F-splitting ratio . Next, we apply the methods develope…