• español
  • English
  • français
  • Deutsch
  • português (Brasil)
  • italiano
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of UVaDOCCommunitiesBy Issue DateAuthorsSubjectsTitles

    My Account

    Login

    Statistics

    View Usage Statistics

    Share

    View Item 
    •   UVaDOC Home
    • SCIENTIFIC PRODUCTION
    • Institutos de Investigación
    • Instituto de Investigación en Matemáticas (IMUVA)
    • IMUVA - Artículos de Revista
    • View Item
    •   UVaDOC Home
    • SCIENTIFIC PRODUCTION
    • Institutos de Investigación
    • Instituto de Investigación en Matemáticas (IMUVA)
    • IMUVA - Artículos de Revista
    • View Item
    • español
    • English
    • français
    • Deutsch
    • português (Brasil)
    • italiano

    Export

    RISMendeleyRefworksZotero
    • edm
    • marc
    • xoai
    • qdc
    • ore
    • ese
    • dim
    • uketd_dc
    • oai_dc
    • etdms
    • rdf
    • mods
    • mets
    • didl
    • premis

    Citas

    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/35937

    Título
    Integration over the space of functions and Poincar´e series: a revision
    Autor
    Campillo López, AntonioAutoridad UVA
    Delgado de la Mata, FélixAutoridad UVA Orcid
    Gusein-Zade, Sabir M.
    Año del Documento
    2018
    Editorial
    Springer
    Descripción
    Producción Científica
    Documento Fuente
    Proceedings of the Steklov Institute of Mathematics, 2018, vol. 302, p. 1-15
    Abstract
    Earlier (2000) the authors introduced the notion of the integral with respect to the Euler characteristic over the space of germs of functions on a variety and over its projectivization. This notion permitted to rewrite in new terms known definitions and statements and also appeared to be an effective tool to compute Poincar´e series of multi-index filtrations in some situations. However the “classical” (initial) notion can be applied only to multi-index filtrations defined by so-called finitely determined valuations (or order functions). Here we introduce a modified version of the notion of the integral with respect to the Euler characteristic over the projectivization of the space of function germs. This version can be applied in a number of settings where the “classical approach” does not work. We give examples of application of this concept for definitions and computations of the Poincar´e series of collections of plane valuations which include valuations not centred at the origin, including equivariant ones.
    Palabras Clave
    Filtrations
    Filtraciones
    Plane valuation
    Valoración de aviones
    Poincaré series
    Serie de Poincaré
    ISSN
    1531-8605
    Revisión por pares
    SI
    DOI
    10.1134/S008154381806007X
    Patrocinador
    Ministerio de Economía, Industria y Competitividad (MTM2015-65764-C3-1-P)
    Russian Science Foundation (grant 16-11- 10018)
    Version del Editor
    https://link.springer.com/article/10.1134/S008154381806007X#Bib1
    Propietario de los Derechos
    © 2018 Springer
    Idioma
    eng
    URI
    http://uvadoc.uva.es/handle/10324/35937
    Derechos
    openAccess
    Collections
    • IMUVA - Artículos de Revista [103]
    Show full item record
    Files in this item
    Nombre:
    Integration-over-space.pdf
    Tamaño:
    315.3Kb
    Formato:
    Adobe PDF
    Thumbnail
    FilesOpen
    Attribution-NonCommercial-NoDerivatives 4.0 InternationalExcept where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 International

    Universidad de Valladolid

    Powered by MIT's. DSpace software, Version 5.10