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arXiv · 1305.2868

Semigroups, d-invariants and deformations of cuspidal singular points of plane curves

Maciej Borodzik·Charles Livingston
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Abstract

We apply Heegaard Floer homology to study deformations of singularities of plane algebraic curves. Our main result provides an obstruction to the existence of a deformation between two singularities. Generalizations include the case of multiple singularities. The obstruction is formulated in terms of a semicontinuity property for semigroups associated to the singularities.

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Maciej Borodzik, Charles Livingston. 2013-05-13. Semigroups, d-invariants and deformations of cuspidal singular points of plane curves. https://arxiv.org/abs/1305.2868

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