Results 31 to 40 of about 534 (81)
On the Classification of Simple Singularities in Positive Characteristic
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
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Invariants of Topological Relative Right Equivalences
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
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On the irreducibility of Hessian loci of cubic hypersurfaces
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
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Singularity categories of gentle algebras
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
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Inversion of Adjunction for the minimal exponent
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
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
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Geometric properties of jet schemes [PDF]
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
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A McKay Correspondence in Positive Characteristic
We establish a McKay correspondence for finite and linearly reductive subgroup schemes of ${\mathbf {SL}}_2$ in positive characteristic.
Christian Liedtke
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Discrepancies of non-$\Q$-Gorenstein varieties
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
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Steenbrink vanishing extended [PDF]
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
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