✦ LIBER ✦

Log–canonical forms and log canonical singularities

✍ Scribed by Hubert Flenner; Mikhail Zaidenberg

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 275 KB
Volume: 254-255
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310056

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

For a normal subvariety V of ℂ^n^ with a good ℂ*–action we give a simple characterization for when it has only log canonical, log terminal or rational singularities. Moreover we are able to give formulas for the plurigenera of isolated singular points of such varieties and of the logarithmic Kodaira dimension of V{0}. For this purpose we introduce sheaves of m–canonical and L^2,m^–canonical forms on normal complex spaces. For the case of affine varieties with good C*–action we give an explicit formula for these sheaves in terms of the grading of the dualizing sheaf and its tensor powers.

📜 SIMILAR VOLUMES

On Apolarity and Generic Canonical Forms

✍ Richard Ehrenborg 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 175 KB

The notion of S S-algebra is introduced. The theory of apolarity and generic canonical forms for polynomials is generalized to S S-algebras over the complex field ‫.ރ‬ We apply this theory to the problem of finding the essential rank of general, symmetric, and skew-symmetric tensors. Upper bounds fo

An optimum Θ(n log n) algorithm for find

An optimum Θ(n log n) algorithm for finding a canonical hamiltonian path and a canonical hamiltonian circuit in a set of intervals

✍ Glenn K. Manacher; Terrance A. Mankus; Carol Joan Smith 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 595 KB

The canonical functions method and singu

The canonical functions method and singular potentials

✍ H Kobeissi; K Fakhreddine 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 262 KB

Augmented canonical forms and factorizat

Augmented canonical forms and factorization of graphs

✍ A. Kaveh; M. A. Sayarinejad 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 136 KB

Matchings and Canonical Forms for Symmet

Matchings and Canonical Forms for Symmetric Tensors

✍ C.Kenneth Fan; Jozsef Losonczy 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 429 KB

Let V be a q-dimensional vector space. Fix a set B of q(q&1) monomials in S p (V) of the form x I where i k >0 for all k. The generic element of S p (V) is conjugate under a suitable linear transformation to an element with support off of B. We prove this by showing the existence of a perfect matchi

Apolarity and Canonical Forms for Homoge

Apolarity and Canonical Forms for Homogeneous Polynomials

✍ Richard Ehrenborg; Gian-Carlo Rota 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 702 KB

Käre Bernt Lindström, Gratulerar på Din sextioårs dag. Vi hoppas att denna artikel kommer falla Dig i smaken. Vi börjar med en kort studie i algebraiska matroider, och fortsätter med att bevisa relationen mellan Jacobianen av en mängd algebraiska funktioner och deras algebraiska oberoende. Med detta