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arXiv · 1405.4627

Fibers of flat morphisms and Weierstrass preparation theorem

Đoàn Trung Cuong
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Abstract

We characterize flat extensions of commutative rings satisfying the Weierstrass preparation theorem. Using this characterization we prove a variant of the Weierstrass preparation theorem for rings of functions on a normal curve over a complete local domain of dimension one. This generalizes recent works of Harbater, Hartmann and Krashen with a different method of proof.

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Đoàn Trung Cuong. 2014-05-19. Fibers of flat morphisms and Weierstrass preparation theorem. https://arxiv.org/abs/1405.4627

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