$\mathbb{Q}$-Homology Plane pairs with Logarithmic Kodaira dimension 1
| Autor: | Kolte, Sagar |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| Popis: | A pair $(S,C)$ is called a singular $\mathbb{Q}$-homology plane pair if $S$ is a singular projective surface with only quotient singularities having the same rational homology as $\mathbb{p}^2$ and $C \subset S$ has the same rational homology as $\mathbb{p}^1$. We will prove results concerning smooth rational curves on $S$ and the singularities of $S$ such that $\overline \kappa(S^0)=1$ and $\overline \kappa(S-C) \neq -\infty$. We end with an example of such pairs. Comment: 13 Pages |
| Databáze: | arXiv |
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