Test ideals in rings with finitely generated anti-canonical algebras

A Chiecchio, F Enescu, LE Miller… - Journal of the Institute of …, 2018 - cambridge.org
TEST IDEALS IN RINGS WITH FINITELY GENERATED ANTI-CANONICAL ALGEBRAS
Page 1 J. Inst. Math. Jussieu (2018) 17(1), 171–206 doi:10.1017/S1474748015000456 c …

Ascending chain condition for-regular germ

K Sato - Compositio Mathematica, 2019 - cambridge.org
Ascending chain condition for F-pure thresholds on a fixed strongly F-regular germ Page 1
Ascending chain condition for F-pure thresholds on a fixed strongly F-regular germ Kenta …

Hilbert–Kunz multiplicities and F-thresholds

L Núñez-Betancourt, I Smirnov - Boletín de la Sociedad Matemática …, 2020 - Springer
Motivated by relations between Hilbert–Samuel multiplicity and F-thresholds, we conjecture
an inequality that relates F-thresholds with Hilbert–Kunz multiplicity. In this article, we …

Constancy regions of mixed multiplier ideals in two‐dimensional local rings with rational singularities

M Alberich‐Carramiñana… - Mathematische …, 2018 - Wiley Online Library
The aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a
two‐dimensional local ring with a rational singularity. We are interested in the partition of the …

F-threshold functions: Syzygy gap fractals and the two-variable homogeneous case

DJ Hernández, P Teixeira - Journal of Symbolic Computation, 2017 - Elsevier
In this article we study F-pure thresholds (and, more generally, F-thresholds) of
homogeneous polynomials in two variables over a field of characteristic p> 0. Passing to a …

[PDF][PDF] Singularities defined by the Frobenius map

K Schwede, K Smith - 2024 - raw.githubusercontent.com
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 …

-pure thresholds and -Volumes of some non principal ideals

W Badilla-Céspedes, E León-Cardenal - arXiv preprint arXiv:2305.00571, 2023 - arxiv.org
We compute the $ F $-pure threshold of non necessarily principal ideals which satisfy a
geometric generic condition about their Newton polygons. We also contribute some …

F-volumes

W Badilla-Céspedes, L Núñez-Betancourt… - Journal of Algebra, 2022 - Elsevier
In this work we define a numerical invariant called F-volume. This number extends the
definition of F-threshold of a pair of ideals I and J, c J (I) to a sequence of ideals J, I 1,…, I t …

[PDF][PDF] Topics on singularities of algebraic varieties Lecture notes for Math 732, Winter 2022

M Mustata - www-personal.umich.edu
2.2. The definition of multiplier ideals 18 2.3. Multiplier ideals: examples and first properties
25 2.4. Multiplier ideals and vanishing theorems 31 2.5. Main properties of multiplier ideals …

[PDF][PDF] Studies on the ascending chain condition for F-pure thresholds

K Sato - repository.dl.itc.u-tokyo.ac.jp
In this thesis, we consider some particular kind of singularities of algebraic varieties in
positive characteristic, the so-called F-singularities. These singularities include strongly F …