Results 11 to 20 of about 50 (49)

HODGE IDEALS FOR $\mathbb{Q}$-DIVISORS, $V$-FILTRATION, AND MINIMAL EXPONENT

Forum of Mathematics, Sigma, 2020
We compute the Hodge ideals of $\mathbb{Q}$-divisors in terms of the $V$-filtration induced by a local defining equation, inspired by a result of Saito in the reduced case. We deduce basic properties of Hodge ideals in this generality, and relate them to
MIRCEA MUSTAŢĂ, MIHNEA POPA
doaj   +1 more source

Rational L‐space surgeries on satellites by algebraic links

Journal of Topology, Volume 13, Issue 4, Page 1333-1387, December 2020., 2020
Abstract Given an n‐component link L in any 3‐manifold M, the space L⊂(Q∪{∞})n of rational surgery slopes yielding L‐spaces is already fully characterized in joint work by the author when n=1 and L is nontrivial. For n>1, however, there are no previous results for L as a rational subspace, and only limited results for integer surgeries L∩Zn on S3 ...
Sarah Dean Rasmussen
wiley   +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
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THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME

Forum of Mathematics, Sigma, 2019
The Chern–Schwartz–MacPherson class of a hypersurface in a nonsingular variety may be computed directly from the Segre class of the Jacobian subscheme of the hypersurface; this has been known for a number of years.
PAOLO ALUFFI
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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
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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
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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
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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
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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
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