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arXiv · 1501.03011

Bivariate factorization using a critical fiber

Martin Weimann
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Abstract

We generalize the classical lifting and recombination scheme for rational and absolute factorization of bivariate polynomials to the case of a critical fiber. We explore different strategies for recombinations of the analytic factors, depending on the complexity of the ramification. We show that working along a critical fiber leads in some cases to a good theoretical complexity, due to the smaller number of analytic factors to recombine. We pay a particular attention to the case of polynomials that are non degenerate with respect to their P-adic Newton polytopes.

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Martin Weimann. 2015-01-13. Bivariate factorization using a critical fiber. https://arxiv.org/abs/1501.03011

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