Results 21 to 30 of about 511 (63)

Bijectiveness of the Nash Map for Quasi-Ordinary Hypersurface Singularities [PDF]

, 2007
In this paper we give a positive answer to a question of Nash concerning the arc space of a singularity, for the class of quasi-ordinary hypersurface singularities, extending to this case previous results and techniques of Shihoko Ishii.Comment: comments
Perez, Pedro Daniel Gonzalez
core   +6 more sources

A BOUND ON EMBEDDING DIMENSIONS OF GEOMETRIC GENERIC FIBERS

Forum of Mathematics, Sigma, 2016
The author finds a limit on the singularities that arise in geometric generic fibers of morphisms between smooth varieties of positive characteristic by studying changes in embedding dimension under inseparable field extensions.
ZACHARY MADDOCK
doaj   +1 more source

Equations of low-degree Projective Surfaces with three-divisible Sets of Cusps [PDF]

, 2004
Let Y be a surface with only finitely many singularities all of which are cusps. A set of cusps on Y is called three-divisible, if there is a cyclic global triple cover of Y branched precisely over these cusps.
Barth, Wolf P., Rams, Slawomir
core   +1 more source

Representation type via Euler characteristics and singularities of quiver Grassmannians

Bulletin of the London Mathematical Society, Volume 51, Issue 5, Page 815-835, October 2019., 2019
Abstract In this paper, we characterize the representation type of an acyclic quiver by the properties of its associated quiver Grassmannians. This characterization utilizes and extends known results about singular quiver Grassmannians and cell decompositions into affine spaces.
Oliver Lorscheid, Thorsten Weist
wiley   +1 more source

Stable degeneration of families of klt singularities with constant local volume

Forum of Mathematics, Sigma
For a klt singularity, C. Xu and Z. Zhuang [33] proved the associated graded algebra of a minimizing valuation of the normalized volume function is finitely generated, finishing the proof of the stable degeneration conjecture proposed by C. Li and C. Xu.
Zhiyuan Chen
doaj   +1 more source

Local Euler characteristics of $A_n$-singularities and their application to hyperbolicity [PDF]

Épijournal de Géométrie Algébrique
Wahl's local Euler characteristic measures the local contributions of a singularity to the usual Euler characteristic of a sheaf. Using tools from toric geometry, we study the local Euler characteristic of sheaves of symmetric differentials for isolated ...
Nils Bruin, Nathan Ilten, Zhe Xu
doaj   +1 more source

Limits of nodal surfaces and applications

Forum of Mathematics, Sigma
Let $\mathcal {X}\to \mathbb {D}$ be a flat family of projective complex 3-folds over a disc $\mathbb {D}$ with smooth total space $\mathcal {X}$ and smooth general fibre $\mathcal {X}_t,$ and whose special fiber $\mathcal
Ciro Ciliberto, Concettina Galati
doaj   +1 more source

Optimal bound for singularities on Fano type fibrations of relative dimension one

Forum of Mathematics, Sigma
Let $\pi :X\rightarrow Z$ be a Fano type fibration with $\dim X-\dim Z=d$ and let $(X,B)$ be an $\epsilon $ -lc pair with $K_X+B\sim _{\mathbb {R}} 0/Z$ . The canonical bundle formula gives $(Z,B_Z+M_Z)$ where $
Bingyi Chen
doaj   +1 more source

The Local Nash problem on arc families of singularities [PDF]

, 2005
This paper shows the affirmative answer to the local Nash problem for a toric singularity and analytically pretoric singularity. As a corollary we obtain the affirmative answer to the local Nash problem for a quasi-ordinary singularity.Comment: to appear
Ishii, Shihoko
core   +3 more sources

Pathological MMP singularities as αp-quotients

Forum of Mathematics, Sigma
We construct pathological examples of MMP singularities in every positive characteristic using quotients by $\alpha _p$ -actions. In particular, we obtain non- $S_3$ terminal singularities, as well as locally stable (respectively stable ...
Quentin Posva
doaj   +1 more source