Towards bounded negativity of self-intersection on general blown-up projective planes

Details Towards bounded negativity of self-intersection on general blown-up projective planes Towards bounded negativity of self-intersection on general blown-up projective planes

2010-12-22

arxiv.org/abs/1012.4989v2

Mathematics

Algebraic Geometry

Final version, to appear on Communications in Algebra

Scientific paper

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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