Towards the weighted Bounded Negativity Conjecture for blow-ups of algebraic surfaces

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Laface, R.; Pokora, P.: Towards the weighted Bounded Negativity Conjecture for blow-ups of algebraic surfaces. In: Manuscripta Mathematica 163 (2020), S. 361-373. DOI: https://doi.org/10.1007/s00229-019-01157-2

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In the present paper we focus on a weighted version of the Bounded Negativity Conjecture, which predicts that for every smooth projective surface in characteristic zero the self-intersection numbers of reduced and irreducible curves are bounded from below by a function depending on the intesection of curve with an arbitrary big and nef line bundle that is positive on the curve. We gather evidence for this conjecture by showing various bounds on the self-intersection number of curves in an algebraic surface. We focus our attention on blow-ups of algebraic surfaces, which have so far been neglected.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2019
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 15 55.56%
2 image of flag of France France 5 18.52%
3 image of flag of United States United States 4 14.81%
4 image of flag of No geo information available No geo information available 3 11.11%

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