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arXiv · 1709.04651

Towards the weighted bounded negativity conjecture for blow-ups of algebraic surfaces

Roberto Laface·Piotr Pokora
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Abstract

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 global constant. 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.

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Roberto Laface, Piotr Pokora. 2017-09-14. Towards the weighted bounded negativity conjecture for blow-ups of algebraic surfaces. https://doi.org/10.1007/s00229-019-01157-2

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