158 citations · 443 across the 25 of their papers we have counts for
28 papers
Values of the F-pure threshold for homogeneous polynomials
Karen E. Smith, Adela Vraciu
We find a formula, in terms of n, d and p, for the value of the F-pure threshold for the generic homogeneous polynomial of degree d in n variables over an algebraically closed fiel…
Geometry of Smooth Extremal Surfaces
Anna Brosowsky, Janet Page, Tim Ryan +1
We study the geometry of the smooth projective surfaces that are defined by Frobenius forms, a class of homogenous polynomials in prime characteristic recently shown to have minima…
Lower Bounds on the F-pure Threshold and Extremal Singularities
Zhibek Kadyrsizova, Jennifer Kenkel, Janet Page +4
We prove that if is a reduced homogenous polynomial of degree , then its -pure threshold at the unique homogeneous maximal ideal is at least . We show, fur…
Excellence, F-singularities, and solidity
Rankeya Datta, Takumi Murayama, Karen E. Smith
An -algebra is -solid if there exists a nonzero -linear map . In characteristic , the study of -singularities such as Frobenius splittings impli…
Cubic Surfaces of Characteristic Two
Zhibek Kadyrsizova, Jennifer Kenkel, Janet Page +4
Cubic surfaces in characteristic two are investigated from the point of view of prime characteristic commutative algebra. In particular, we prove that, the non-Frobenius split cubi…
Reducedness of formally unramified algebras over fields
Alapan Mukhopadhyay, Karen E. Smith
We prove that under suitable graded and local hypothesis, a formally unramified algebra over a field must be reduced. We detail examples, including one due to Gabber, to show that…