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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 1, Pages 1–19
DOI: https://doi.org/10.4213/faa3223
(Mi faa3223)
 

This article is cited in 3 scientific papers (total in 3 papers)

Differential Forms on Quasihomogeneous Noncomplete Intersections

A. G. Aleksandrov

V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
Full-text PDF (259 kB) Citations (3)
References:
Abstract: In this article, we discuss a few simple methods for computing the Poincaré series of modules of differential forms given on quasihomogeneous noncomplete intersections of various types. Among them are curves associated with a semigroup, bouquets of such curves, affine cones over rational or elliptic curves, and normal determinantal and toric varieties, including some types of quotient singularities, as well as cones over the Veronese embedding of projective spaces or over the Segre embedding of products of projective spaces, rigid singularities, fans, etc. In many cases, correct formulas can be derived without resorting to analysis of complicated resolvents or using computer systems of algebraic calculations. The obtained results allow us to compute the basic invariants of singularities in an explicit form by means of elementary operations on rational functions.
Keywords: differential forms, Poincaré complex, de Rham complex, graded singularities, determinantal singularities, rigid singularities, fans.
Received: 04.03.2015
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 1, Pages 1–16
DOI: https://doi.org/10.1007/s10688-016-0123-6
Bibliographic databases:
Document Type: Article
UDC: 515.17
Language: Russian
Citation: A. G. Aleksandrov, “Differential Forms on Quasihomogeneous Noncomplete Intersections”, Funktsional. Anal. i Prilozhen., 50:1 (2016), 1–19; Funct. Anal. Appl., 50:1 (2016), 1–16
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa3223
  • https://www.mathnet.ru/eng/faa/v50/i1/p1
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Функциональный анализ и его приложения Functional Analysis and Its Applications
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