Towards Bounded Negativity of Self-Intersection on General Blown-up Projective Planes |
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Authors: | Claudio Fontanari |
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Affiliation: | 1. Dipartimento di Matematica , Università di Trento , Trento , Italy fontanar@science.unitn.it |
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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. |
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Keywords: | Deformation theory Plane curve Self-intersection |
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