We show the existence of $ F $-thresholds in full generality. In addition, we study properties
of standard graded algebras over a field for which $ F $-pure threshold and $ F $-threshold …

We survey results produced from the interaction between methods in prime characteristic
and combinatorial commutative algebra. We showcase results for edge ideals, toric …

arXiv:2102.11188v1 [math.AC] 22 Feb 2021 Page 1 arXiv:2102.11188v1 [math.AC] 22 Feb
2021 GORENSTEIN BINOMIAL EDGE IDEALS RENÉ GONZÁLEZ-MARTÍNEZ Abstract. We …

Motivated by studying boundary singularities of rational functions in two variables that are
analytic on a domain, we investigate local integrability on $\mathbb {R}^ 2$ near $(0, 0) $ of …

We prove that if $ f $ is a reduced homogeneous polynomial of degree $ d $, then its $ F $-
pure threshold at the unique homogeneous maximal ideal is at least $\frac {1}{d-1} $. We …

F-PURITY VERSUS LOG CANONICITY FOR POLYNOMIALS Page 1 Nagoya Math. J., 224(1)
(2016), 10–36 DOI 10.1017/nmj.2016.14 F-PURITY VERSUS LOG CANONICITY FOR …

We find a formula, in terms of n, dn,d, and pp, for the value of the FF‐pure threshold for the
generic homogeneous polynomial of degree dd in nn variables over an algebraically closed …

Let $ f $ be a diagonal hypersurface in $ A_p=\mathbb {F} _p [[x_1,\dots, x_n]] $. We study
the behavior of the function $\phi_ {f, p}({a}/{p^ e})= p^{-ne}\dim_ {\mathbb {F} _p}\big …

F-invariants of Stanley-Reisner rings - ScienceDirect Skip to main contentSkip to article Elsevier
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We prove that the set of leaps of the chain of m-integrable derivations of a curve X over a
perfect field with geometrically unibranch singularities is finite. This result is a consequence …