WebMar 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. WebJul 14, 2024 · Higher Du Bois singularities of hypersurfaces. For a complex algebraic variety , we introduce higher -Du Bois singularity by imposing canonical isomorphisms …
arXiv:1503.08772v2 [math.AG] 10 Apr 2015
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 … 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 … feeling of unreality or detachment
[2107.06619v2] Higher Du Bois singularities of hypersurfaces
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 WebThe purpose of this paper is to investigate Du Bois singularities on normal analytic surfaces. Du Bois introduced the concept of what we call Du Bois singularity by means … WebFor 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 … feeling of uneasiness