Results 1 to 10 of about 939 (67)
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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Homological Bondal-Orlov localization conjecture for rational singularities
Forum of Mathematics, Sigma, 2023 Given a resolution of rational singularities $\pi \colon {\tilde {X}} \to X$ over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor ${\mathbf {R}}\pi _*\colon {\mathbf {D}}^{\mathrm {b}}({\
Mirko Mauri, Evgeny Shinder
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Finite torsors over strongly $F$-regular singularities [PDF]
Épijournal de Géométrie Algébrique, 2022 We investigate finite torsors over big opens of spectra of strongly $F$-regular germs that do not extend to torsors over the whole spectrum. Let $(R,\mathfrak{m},k)$ be a strongly $F$-regular $k$-germ where $k$ is an algebraically closed field of ...
Javier Carvajal-Rojas
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Deformations of Log Terminal and Semi Log Canonical Singularities
Forum of Mathematics, Sigma, 2023 In this paper, we prove that klt singularities are invariant under deformations if the generic fiber is $\mathbb {Q}$ -Gorenstein. We also obtain a similar result for slc singularities. These are generalizations of results of Esnault-Viehweg [Math.
Kenta Sato, Shunsuke Takagi
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On singularities of real algebraic sets and applications to kinematics
Open Mathematics, 2020 We address the question of identifying non-smooth points in Vℝ(I){{\bf{V}}}_{{\mathbb{R}}}(I) the real part of an affine algebraic variety. Two simple algebraic criteria will be formulated and proven.
Diesse Marc
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Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension
Forum of Mathematics, Pi, 2022 We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions and derive applications regarding the local cohomological dimension, the Du Bois complex, local ...
Mircea Mustaţă, Mihnea Popa
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$C^r$-right equivalence of analytic functions [PDF]
, 2014 Let $f,g:(\mathbb{R}^n,0)\rightarrow (\mathbb{R},0)$ be analytic functions. We will show that if $\nabla f(0)=0$ and $g-f \in (f)^{r+2}$ then $f$ and $g$ are $C^r$-right equivalent, where $(f)$ denote ideal generated by $f$ and $r\in \mathbb{N}$.Comment:
Migus, Piotr
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Embedding codimension of the space of arcs
Forum of Mathematics, Pi, 2022 We introduce a notion of embedding codimension of an arbitrary local ring, establish some general properties and study in detail the case of arc spaces of schemes of finite type over a field.
Christopher Chiu +2 more
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THE LIPMAN–ZARISKI CONJECTURE IN GENUS ONE HIGHER
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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