Rigid divisors on surfaces
- 作者: Hochenegger A.1, Ploog D.2
-
隶属关系:
- Scuola Normale Superiore
- University of Stavanger
- 期: 卷 84, 编号 1 (2020)
- 页面: 163-206
- 栏目: Articles
- URL: https://journal-vniispk.ru/1607-0046/article/view/133804
- DOI: https://doi.org/10.4213/im8721
- ID: 133804
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详细
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.
作者简介
Andreas Hochenegger
Scuola Normale SuperiorePhD, Researcher
David Ploog
University of StavangerDoctor of physico-mathematical sciences
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