Results 1 to 10 of about 526 (74)
THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER [PDF]
Forum 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
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Crepant semi-divisorial log terminal model [PDF]
Épijournal 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
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Which rational double points occur on del Pezzo surfaces? [PDF]
Épijournal 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
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Remark on complements on surfaces
Forum 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
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Weighted Hodge ideals of reduced divisors
Forum 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
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On Rational Cuspidal Projective Plane Curves [PDF]
, 2004 In 2002, L. Nicolaescu and the fourth author formulated a very general conjecture which relates the geometric genus of a Gorenstein surface singularity with rational homology sphere link with the Seiberg‐‐Witten invariant (or one of its candidates) of ...
J. Bobadilla +3 more
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Local metric properties and regular stratifications of p-adic definable sets [PDF]
, 2009 We study the geometry of germs of definable (semialgebraic or subanalytic) sets over a p-adic field from the metric, differential and measure geometric point of view. We prove that the local density of such sets at each of their points does exist.
R. Cluckers, G. Comte, F. Loeser
semanticscholar +1 more source
Study of multiple structures on projective subvarieties
, 2020 Let k an algebraically closed field, char k = 0. We study multiplicity-r structures on varieties for r ∈ N, r ≥ 2. Let Z be a reduced irreducible nonsingular (N − 2)-dimensional variety such that rZ = X ∩ F , where X is a normal (N − 1)fold of degree n ...
M. R. González-Dorrego
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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
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Homogeneous Polynomials with Isomorphic Milnor Algebras [PDF]
, 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
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