The Hilbert-Kunz density functions of quadric hypersurfaces
V Trivedi - Advances in Mathematics, 2023 - Elsevier
We show that the Hilbert-Kunz density function of a quadric hypersurface of Krull dimension
n+ 1 is a piecewise polynomial on a subset of [0, n], whose complement in [0, n] has …
n+ 1 is a piecewise polynomial on a subset of [0, n], whose complement in [0, n] has …
Bounds for the Hilbert-Kunz Multiplicity of Singular Rings
NO Cox-Steib, IM Aberbach - Acta Mathematica Vietnamica, 2024 - Springer
In this paper, we prove that the Watanabe-Yoshida conjecture holds up to dimension 7. Our
primary new tool is a function, φ J (R; zt), that interpolates between the Hilbert-Kunz …
primary new tool is a function, φ J (R; zt), that interpolates between the Hilbert-Kunz …
On tame ramification and centers of FF‐purity
J Carvajal‐Rojas, A Fayolle - Journal of the London …, 2024 - Wiley Online Library
We introduce a notion of tame ramification for general finite covers. When specialized to the
separable case, it extends to higher dimensions the classical notion of tame ramification for …
separable case, it extends to higher dimensions the classical notion of tame ramification for …
Bounds for the Hilbert-Kunz Multiplicity of Singular Rings
IM Aberbach, NO Cox-Steib - arXiv preprint arXiv:2402.05822, 2024 - arxiv.org
In this paper we prove that the Watanabe-Yoshida conjecture holds up to dimension $7 $.
Our primary new tool is a function, $\Psifun {J}{R}{z^{t}}, $ that interpolates between the …
Our primary new tool is a function, $\Psifun {J}{R}{z^{t}}, $ that interpolates between the …
[PDF][PDF] Singularities defined by the Frobenius map
Singularities defined by the Frobenius map Karl Schwede Karen E. Smith Page 1
Singularities defined by the Frobenius map Karl Schwede Karen E. Smith Draft compiled …
Singularities defined by the Frobenius map Karl Schwede Karen E. Smith Draft compiled …
On Frobenius Betti numbers of graded rings of finite Cohen-Macaulay type
N Kotal - arXiv preprint arXiv:2401.00783, 2024 - arxiv.org
The notion of Frobenius Betti numbers generalizes the Hilbert-Kunz multiplicity theory and
serves as an invariant that measures singularity. However, the explicit computation of the …
serves as an invariant that measures singularity. However, the explicit computation of the …
[PDF][PDF] MIDIENDO SINGULARIDADES CON FROBENIUS
JC ROJAS - … .eventos.cimat.mx
MIDIENDO SINGULARIDADES CON FROBENIUS Índice 1. Introducción 1 1.1.
Organización de las notas 2 2. ¿Qué es una singularidad Page 1 MIDIENDO …
Organización de las notas 2 2. ¿Qué es una singularidad Page 1 MIDIENDO …