Results 21 to 30 of about 60 (59)

On the embedded Nash problem

Forum of Mathematics, Pi
The embedded Nash problem for a hypersurface in a smooth algebraic variety is to characterize geometrically the maximal irreducible families of arcs with fixed order of contact along the hypersurface.
Nero Budur, Javier de la Bodega, Eduardo de Lorenzo Poza, Javier Fernández de Bobadilla, Tomasz Pełka   +4 more
doaj   +1 more source

Strict positivity of Kähler–Einstein currents

Forum of Mathematics, Sigma
Kähler–Einstein currents, also known as singular Kähler–Einstein metrics, have been introduced and constructed a little over a decade ago. These currents live on mildly singular compact Kähler spaces X and their two defining properties are the following:
Vincent Guedj, Henri Guenancia, Ahmed Zeriahi   +2 more
doaj   +1 more source

Pure subrings of Du Bois singularities are Du Bois singularities

Forum of Mathematics, Sigma
Let $R \to S$ be a cyclically pure map of Noetherian $\mathbb {Q}$ -algebras. In this paper, we show that if S has Du Bois singularities, then R has Du Bois singularities. Our result is new even when $R \to S$ is faithfully flat.
Charles Godfrey, Takumi Murayama
doaj   +1 more source

A Classiffier for Unimodular Isolated Complete Intersection Space Curve Singularities

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
C.T.C. Wall classified the unimodular complete intersection singularities. He indicated in the list only the μ-constant strata and not the complete classification in each case.
Afzal Deeba, Pfister Gerhard
doaj   +1 more source

Local Normal Forms of Noncommutative Functions

Forum of Mathematics, Pi
This article describes local normal forms of functions in noncommuting variables, up to equivalence generated by isomorphism of noncommutative Jacobi algebras, extending singularity theory in the style of Arnold’s commutative local normal forms into the ...
Gavin Brown, Michael Wemyss
doaj   +1 more source

Inversion of Adjunction for the minimal exponent

Forum 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 the Classification of Simple Singularities in Positive Characteristic

Analele 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, Binyamin Muhammad Ahsan, Janjua Faira Kanwal   +2 more
doaj   +1 more source

Matroid connectivity and singularities of configuration hypersurfaces. [PDF]

Lett Math Phys, 2021
Denham G, Schulze M, Walther U.
europepmc   +1 more source

Quasi-ordinary Surface germs from the topological viewpoint

Mathematics Subject Classifications (2000). 14B05, 14J17, 32S15,32S45, 32S55, 57M45Let (W, p) be an analytic surface germ and let ν : (W ′ , p ′ ) → (W, p) be its normalization morphism. We can associated to (W ′ , p ′ ) and (W, p) well defined links L W
Michel, Françoise, Weber, Claude
core   +1 more source

A bound for the Milnor number of plane curve singularities

Open Mathematics, 2014
Płoski Arkadiusz
doaj   +1 more source