3 research outputs found
Fibers of flat morphisms and Weierstrass preparation theorem
Full text linkWe 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.Comment: To appear in Journal of Algebr
