On Plane Curves with Double and Triple Points

Published 23 Jan 2014 in math.AG | (1401.6032v2)

Abstract: We describe in simple geometric terms the Hodge filtration on the cohomology groups of the complement U in the projective plane of a curve C with ordinary double and triple points. Relations to Milnor algebra, syzygies of the Jacobian ideal and pole order filtration on the second cohomology of U are given.

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Nancy Abdallah

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