Local negativity of surfaces with non-negative Koidara dimension and transversal configurations of curves
Abstract
We give a bound on the H-constants of configurations of smooth curves having transversal intersection points only on an algebraic surface of non-negative Kodaira dimension. We also study in detail configurations of lines on smooth complete intersections $X \subset \mathbb{P}^{n+2}_{\mathbb{C}}$ of multi-degree $d=(d_1, \dots, d_n)$, and we provide a sharp and uniform bound on their H-constants, which only depends on $d$.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2016
- DOI:
- 10.48550/arXiv.1602.05418
- arXiv:
- arXiv:1602.05418
- Bibcode:
- 2016arXiv160205418L
- Keywords:
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- Mathematics - Algebraic Geometry;
- 14C20 14N20
- E-Print:
- 11 pages. This is the final version incorporating referee's remarks. To appear in Glasgow Mathematical Journal