Izvestiya: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya: Mathematics, 2020, Volume 84, Issue 1, Pages 146–185
DOI: https://doi.org/10.1070/IM8721 (Mi im8721) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Rigid divisors on surfaces

A. Hocheneggera, D. Ploogb

a Scuola Normale Superiore, Pisa, Italia
b Universitetet i Stavanger, Institutt for matematikk og fysikk, Stavanger, Norge
English version PDF (867 kB) Citations (3) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM8721
Abstract: We study effective divisors $D$ on surfaces with $H^0(\mathcal{O}_D)=\Bbbk$ and $H^1(\mathcal{O}_D)=H^0(\mathcal{O}_D(D))=0$. We give a numerical criterion for such divisors, following a general investigation of negativity, rigidity and connectivity properties. Examples include exceptional loci of rational singularities, and spherelike divisors.
Keywords: negative divisors, rigid divisors, divisors on surfaces, spherelike sheaves.
Received: 23.09.2017
Revised: 29.05.2019
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14C20, 14E15, 14D05
Language: English
Original paper language: Russian
Citation: A. Hochenegger, D. Ploog, “Rigid divisors on surfaces”, Izv. Math., 84:1 (2020), 146–185
Citation in format AMSBIB
\Bibitem{HocPlo20}
\by A.~Hochenegger, D.~Ploog
\paper Rigid divisors on surfaces
\jour Izv. Math.
\yr 2020
\vol 84
\issue 1
\pages 146--185
\mathnet{http://mi.mathnet.ru/eng/im8721}
\crossref{https://doi.org/10.1070/IM8721}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4070001}
\zmath{https://zbmath.org/?q=an:1445.14015}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020IzMat..84..146H}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000522949900001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85066446710}
Linking options:
  • https://www.mathnet.ru/eng/im8721
  • https://doi.org/10.1070/IM8721
  • https://www.mathnet.ru/eng/im/v84/i1/p163
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025