Results 1 to 10 of about 511 (63)

Crepant semi-divisorial log terminal model [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
We prove the existence of a crepant sdlt model for slc pairs whose irreducible components are normal in codimension one.
Kenta Hashizume
doaj   +1 more source

Which rational double points occur on del Pezzo surfaces? [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
We determine all configurations of rational double points that occur on RDP del Pezzo surfaces of arbitrary degree and Picard rank over an algebraically closed field $k$ of arbitrary characteristic ${\rm char}(k)=p \geq 0$, generalizing classical work of
Claudia Stadlmayr
doaj   +1 more source

Remark on complements on surfaces

open access: yesForum of Mathematics, Sigma, 2023
We give an explicit characterization on the singularities of exceptional pairs in any dimension. In particular, we show that any exceptional Fano surface is $\frac {1}{42}$ -lc.
Jihao Liu
doaj   +1 more source

Weighted Hodge ideals of reduced divisors

open access: yesForum of Mathematics, Sigma, 2023
We study the Hodge and weight filtrations on the localization along a hypersurface, using methods from birational geometry and the V-filtration induced by a local defining equation.
Sebastián Olano
doaj   +1 more source

THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER

open access: yesForum of Mathematics, Sigma, 2020
We prove the Lipman–Zariski conjecture for complex surface singularities with $p_{g}-g-b\leqslant 2$. Here $p_{g}$ is the geometric genus, $g$ is the sum of the genera of exceptional curves and $b$ is the first Betti number of the dual graph.
HANNAH BERGNER, PATRICK GRAF
doaj   +1 more source

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

open access: yesForum 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

Homogeneous Polynomials with Isomorphic Milnor Algebras [PDF]

open access: yes, 2008
In Theorem 3.2 we show that two homogeneous polynomials $f$ and $g$ having isomorphic Milnor algebras are right-equivalent.Comment: 6 ...
A. Dimca   +4 more
core   +2 more sources

A Classiffier for Unimodular Isolated Complete Intersection Space Curve Singularities

open access: yesAnalele 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

THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME

open access: yesForum 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
doaj   +1 more source

Two series of polyhedral fundamental domains for Lorentz bi-quotients [PDF]

open access: yes, 2019
The main aim of this paper is to give two infinite series of examples of Lorentz space forms that can be obtained from Lorentz polyhedra by identification of faces.
Pratoussevitch, Anna, Turki, Nasser Bin
core   +2 more sources

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