Du bois singularity
WebJul 17, 2024 · We also show that for a normal surface singularity, the notions of Du Bois and potentially Du Bois singularities coincide. In contrast, we give an example showing that in dimension at least three ... WebIn algebraic geometry, Du Bois singularities are singularities of complex varieties studied by (Du Bois 1981). (Schwede 2007) gave the following characterisation of Du Bois singularities. Suppose that [math]\displaystyle{ X }[/math] is a reduced closed subscheme of a smooth scheme [math]\displaystyle{ Y }[/math].
Du bois singularity
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WebJul 14, 2024 · Higher Du Bois singularities of hypersurfaces. For a complex algebraic variety , we introduce higher -Du Bois singularity by imposing canonical isomorphisms … WebJul 14, 2024 · This is useful for instance to estimate the lower bound of the maximal root of the reduced Bernstein-Sato polynomial in the case where a quotient singularity is a …
WebA likely candidate for this would be a non-Du Bois singularity. Du Bois, following Deligne's ideas, constructed a filtered complex of sheaves with coherent cohomology sheaves that gives a resolution of the constant sheaf $\mathbb C$ for any reduced finite type scheme over $\mathbb C$. This complex agrees with the de Rham complex for smooth ... WebJul 14, 2024 · In particular, the definition and basic properties of Du Bois singularities and their connections to the more commonly known singularities of the minimal model …
Weband the shifted graded pieces of the Du Bois complex Ωq X for q ≤p. If X is a reduced hypersurface, we showthathigherp-Du Boissingularitycoincideswith higherp-logcanonical singularity, generalizing a well-known theorem for p = 0. The assertion that p-log canonicity implies p-Du Bois has been proved by Mustata, Olano, Popa, and Witaszek quite ... WebOn the other hand, Du Bois singularity is characterized in the hypersurface case by the condition that the minimal exponent is at least 1, see [Sai09, Theorem 0.5]. It is well-known that this condition is equivalent to that the log canonical threshold, that is, the minimal jumping coefficient of the associated multiplier ideals, is 1.
WebDEFINITION 1.4 [Wat, 3.16]. A normal Gorenstein singularity –X;xƒis called purely elliptic if it is Du Bois but not rational (equivalently, the essential divisor DJ is reduced and non-trivial). From the discussions in 1.1 and 1.3 we see that for a Du Bois singularity there are natural isomorphisms Hnÿ1–O Yƒ! † Hnÿ1–O Dƒ! † Hnÿ1–O
WebJul 14, 2024 · We also improve some non-vanishing assertion shown by them, using the Tjurina subspectrum in the isolated singularity case. This is useful for instance to … bluetooth light sound domeWebwe study Cohen-Macaulay Du Bois T-singularities of complexity one. We ex-hibit cohomological criteria for a T-variety to be Cohen-Macaulay and Du Bois in terms of … bluetooth lights and musicWebSep 22, 2024 · The following shows the inheritance of the Du Bois property under the quotient of a group action. Proposition 8.1.16. If a normal isolated singularity (Y, y) is a … cleated rubber floor for stock trailerWebOct 14, 2024 · When X has Du Bois singularities \({\underline{\Omega }{}^0_{X}} \simeq _{\text {qis}}\mathcal {O}_X\) and the complex C is analogous to the C described above in characteristic \(p > 0\).However, even without this assumption we have the following theorem. Main Theorem C (Theorem 4.1, Corollary 4.4) With notation as above, suppose … bluetooth lights to musicWebFor a complex algebraic variety X, we introduce higher p-Du Bois singularity by imposing canonical isomorphisms between the sheaves of Kahler differential forms Ωq X and the … bluetooth light socket speakers amazonWebAnalityk ds. politycznych w centrum analitycznym Polityka Insight. Zajmuje się przede wszystkim lewicą i środowiskami skrajnej prawicy, a także ruchem Polska 2050 i PSL-Koalicją Polską. W ostatnim czasie pisze również o cyfryzacji. Absolwent stosowanych nauk społecznych na Uniwersytecie Warszawskim, studiował też kulturoznawstwo i ... bluetooth lighting systemWebWe also show that for a normal surface singularity, the notions of Du Bois and potentially Du Bois singularities coincide. In contrast, we give an example showing that in dimension at least three, a normal potentially Du Bois singularity x 2 X need not be Du Bois even if one assumes the canonical divisor K X to be Q-Cartier. 1. Introduction bluetooth light show