Bulletin du commerce des bois

A Simple Characterization of Du Bois Singularities

We prove the following theorem characterizing Du Bois singularities. Suppose that Y is smooth and that X is a reduced closed subscheme. Let π : e Y → Y be a log resolution of X in Y that is an isomorphism outside of X. If E is the reduced pre-image of X in e Y , then X has Du Bois singularities if and only if the natural map ØX → Rπ∗ØE is a quasi-isomorphism. We also deduce Kollár’s conjecture ...

F-injective Singularities Are Du Bois

In this paper, we prove that singularities of F -injective type are Du Bois. This extends the correspondence between singularities associated to the minimal model program and singularities defined by the action of Frobenius in positive characteristic.

The Canonical Sheaf of Du Bois Singularities

We prove that a Cohen-Macaulay normal variety X has Du Bois singularities if and only if π∗ωX′(G) ≃ ωX for a log resolution π : X ′ → X , where G is the reduced exceptional divisor of π. Many basic theorems about Du Bois singularities become transparent using this characterization (including the fact that Cohen-Macaulay log canonical singularities are Du Bois). We also give a straightforward an...

Ce Numéro Du Bulletin Des Négociations De La Terre © <[email protected]> a Été Rédigé Par Bulletin Des Négociations De La Terre

Xia. Edition numérique: Angeles Estrada. Version française: Alexandra Lefevre. Editrice en chef: Pamela S. Chasek, Ph.D. . Directeur du Service des informations de l’IIDD: Langston James “Kimo” Goree VI . Les bailleurs de fonds du Bulletin sont: Le gouvernement des Etats-Unis d’Amérique (à travers le Bureau des océans et des affaires environnementales et scientifiqu...

Etude comparative des dosages colorimetriques du phosphore.