Rigid divisors on surfaces
- Authors: Hochenegger A.1, Ploog D.2
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Affiliations:
- Scuola Normale Superiore
- University of Stavanger
- Issue: Vol 84, No 1 (2020)
- Pages: 163-206
- Section: Articles
- URL: https://journal-vniispk.ru/1607-0046/article/view/133804
- DOI: https://doi.org/10.4213/im8721
- ID: 133804
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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 criterionfor such divisors, following a general investigation of negativity, rigidity and connectivityproperties. Examples include exceptional loci of rational singularities, and spherelikedivisors.
About the authors
Andreas Hochenegger
Scuola Normale SuperiorePhD, Researcher
David Ploog
University of StavangerDoctor of physico-mathematical sciences
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