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Towards Bounded Negativity of Self-Intersection on General Blown-up Projective Planes
Authors:Claudio Fontanari
Affiliation:1. Dipartimento di Matematica , Università di Trento , Trento , Italy fontanar@science.unitn.it
Abstract:We address the problem of bounding from below the self-intersection of integral curves on the projective plane blown-up at general points. In particular, by applying classical deformation theory, we obtain the expected bound in the case of either high ramification or low multiplicity.
Keywords:Deformation theory  Plane curve  Self-intersection
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