Rigid divisors on surfaces

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Andreas Hochenegger
  • David Ploog

External Research Organisations

  • Scuola Normale Superiore di Pisa
  • University of Stavanger
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Details

Original languageEnglish
Pages (from-to)146-185
Number of pages40
JournalIzvestiya mathematics
Volume84
Issue number1
Publication statusPublished - 2020
Externally publishedYes

Abstract

We study effective divisors D on surfaces with H0(OD) = k and H1(OD) = H0(OD(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

    Divisors on surfaces, Negative divisors, Rigid divisors, Spherelike sheaves

ASJC Scopus subject areas

Cite this

Rigid divisors on surfaces. / Hochenegger, Andreas; Ploog, David.
In: Izvestiya mathematics, Vol. 84, No. 1, 2020, p. 146-185.

Research output: Contribution to journal › Article › Research › peer review

Hochenegger, A & Ploog, D 2020, 'Rigid divisors on surfaces', Izvestiya mathematics, vol. 84, no. 1, pp. 146-185. https://doi.org/10.1070/IM8721
Hochenegger, A., & Ploog, D. (2020). Rigid divisors on surfaces. Izvestiya mathematics, 84(1), 146-185. https://doi.org/10.1070/IM8721
Hochenegger A, Ploog D. Rigid divisors on surfaces. Izvestiya mathematics. 2020;84(1):146-185. doi: 10.1070/IM8721
Hochenegger, Andreas ; Ploog, David. / Rigid divisors on surfaces. In: Izvestiya mathematics. 2020 ; Vol. 84, No. 1. pp. 146-185.
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