Du bois singularity
WebJun 6, 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 hypersurface and its singular locus has codimension at most 4. WebJul 14, 2024 · Higher Du Bois singularities of hypersurfaces. For a complex algebraic variety , we introduce higher -Du Bois singularity by imposing canonical isomorphisms …
Du bois singularity
Did you know?
WebJun 4, 2024 · When e = 2 and X has Cohen-Macaulay Du Bois singularities, we obtain the conjectured bound reg (X) ≤ d − 1, and we also classify the extremal cases. To achieve these results, we bound the regularity of fibers of a generic projection of X by using Loewy length, and also bound the dimension of the varieties swept out by secant lines through ... WebWe 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
WebMay 9, 2016 · (2) Suppose R is a local ring essentially of finite type over C and R is Du Bois (we refer to [22] or [20] for the definition and basic properties of Du Bois singularities). In this case we do ... WebFeb 2, 2024 · As an application we verify that higher du Bois and rational singularities of a hypersurface can be detected by applying the unnormalized Hirzebruch-Milnor class, assuming that its singular locus is a projective variety. Here the unnormalized class can be replaced by the normalized one in the higher du Bois case.
http://www.numdam.org/item/10.5802/aif.1603.pdf WebJun 6, 2024 · Abstract. For a complex algebraic variety , we introduce higher -Du Bois singularity by imposing canonical isomorphisms between the sheaves of Kähler …
WebMay 9, 2016 · The concept of Du Bois singularities, introduced by Steenbrink, is a weakening of rationality. We also prove flatness of the cohomology sheaves of the … rms company 8600 evergreenWebPronunciation of du bois with 1 audio pronunciation, 3 synonyms, 1 meaning, 14 translations, 9 sentences and more for du bois. ... Du Bois singularity {{wiki_api.name}} {{' - '+wiki_api.description}} Show more fewer Wiki . Examples of in a sentence. Du Bois believes this to be an important general law, applicable to the case of every ... rms composite bowWebWe say that (x ∈ X) is Du Bois if the canonical map OX,x0 X,x is a quasi-isomorphism. There exists a simple characterization of Du Bois singularities in the case of normal isolated singularities [33]: let (x ∈ X) be a normal isolated singularity over an algebraically closed field of characteristic zero. Take a log resolution π : Y → X ... snack paisy cosdonWebTHE DU BOIS COMPLEX OF A HYPERSURFACE AND THE MINIMAL EXPONENT MIRCEA MUSTAT˘A, SEBASTI AN OLANO, MIHNEA POPA, AND JAKUB WITASZEK … rms complaint onlineWebMar 8, 2024 · We give some examples of Hirzebruch-Milnor classes of projective hypersurfaces (in the ordinary sense) which are utilizable to detect higher du Bois or rational singularities even though they are rather artificial. We also give some remarks clarifying some points in my earlier paper. snack pack unicorn pudding flavorWeband 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 ... rms compressor best for sidechainWebFlux numérique, flux de pensée snack pan rail wr72x31124