Results 31 to 40 of about 534 (81)

On the Classification of Simple Singularities in Positive Characteristic

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The aim of the article is to describe the classification of simple isolated hypersurface sin- gularities over a field of positive characteristic by certain invariants without computing the normal form.
Afzal Deeba   +2 more
doaj   +1 more source

Invariants of Topological Relative Right Equivalences

open access: yes, 2012
The constancy of the Milnor number has several characterizations which were summarized by Greuel in 1986. This paper presents a study of these characterizations in the case of families of functions with isolated singularities defined on an analytic ...
Ahmed, Imran   +2 more
core   +1 more source

On the irreducibility of Hessian loci of cubic hypersurfaces

open access: yesForum of Mathematics, Sigma
We study the problem of the irreducibility of the Hessian variety ${\mathcal {H}}_f$ associated with a smooth cubic hypersurface $V(f)\subset {\mathbb {P}}^n$ .
Davide Bricalli   +2 more
doaj   +1 more source

Singularity categories of gentle algebras

open access: yes, 2014
We determine the singularity category of an arbitrary finite dimensional gentle algebra $\Lambda$. It is a finite product of $n$-cluster categories of type $\mathbb{A}_{1}$.
Kalck, Martin
core   +1 more source

Inversion of Adjunction for the minimal exponent

open access: yesForum of Mathematics, Sigma
We prove that the minimal exponent for local complete intersections satisfies an Inversion-of-Adjunction property. As a result, we also obtain the Inversion of Adjunction for higher Du Bois and higher rational singularities for local complete ...
Qianyu Chen
doaj   +1 more source

On quartics with three-divisible sets of cusps

open access: yes, 2002
We study the geometry and codes of quartic surfaces with many cusps. We apply Gr\"obner bases to find examples of various configurations of cusps on quartics.Comment: 15 ...
Rams, Slawomir
core   +1 more source

Geometric properties of jet schemes [PDF]

open access: yes, 2010
This paper shows how properties of jet schemes relate to those of the singularity on the base scheme. We will see that the jet scheme's properties of being Q-factorial, Q-Gorenstein, canonical, terminal and so on are inherited by the base scheme.Comment:
Ishii, Shihoko
core  

A McKay Correspondence in Positive Characteristic

open access: yesForum of Mathematics, Sigma
We establish a McKay correspondence for finite and linearly reductive subgroup schemes of ${\mathbf {SL}}_2$ in positive characteristic.
Christian Liedtke
doaj   +1 more source

Discrepancies of non-$\Q$-Gorenstein varieties

open access: yes, 2011
We give an example of a non $\Q$-Gorenstein variety which is canonical but not klt, and whose canonical divisor has an irrational valuation. We also give an example of an irrational jumping number and we prove that there are no accumulation points for ...
Urbinati, Stefano
core   +1 more source

Steenbrink vanishing extended [PDF]

open access: yes, 2013
The notion of DB index, a measure of how far a singularity of a pair is from being Du Bois, is introduced and used to generalize vanishing theorems of Steenbrink and others with simpler and more natural proofs than the originals.Comment: To appear in the
Kovács, Sándor J
core  

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