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Regular Functions Transversal at Infinity

Alexandru Dimca·Anatoly Libgober
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Abstract

We generalize and complete some of Maxim's recent results on Alexander invariants of a polynomial transversal to the hyperplane at infinity. Roughly speaking, and surprisingly, such a polynomial behaves both topologically and algebraically (e.g. in terms of the variation of MHS on the cohomology of its smooth fibers), like a homogeneous polynomial.

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Alexandru Dimca, Anatoly Libgober. 2005-04-07. Regular Functions Transversal at Infinity. https://arxiv.org/abs/math/0504128

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