منابع مشابه
Resolving zero-divisors using Hensel lifting
Algorithms which compute modulo triangular sets must respect the presence of zero-divisors. We present Hensel lifting as a tool for dealing with them. We give an application: a modular algorithm for computing GCDs of univariate polynomials with coefficients modulo a radical triangular set overQ. Our modular algorithm naturally generalizes previous work from algebraic number theory. We have impl...
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A free divisor D in C is linear if its module of logarithmic vector fields has a basis of global vector fields of degree 0. It is then defined by a homogeneous polynomial of degree n and its complement is an open orbit of an algebraic subgroup GD in Gln(C). The best known example is the normal crossing divisor. Many other such divisors arise, for instance, from quiver representations. We give a...
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In algebraic geometry, it is rather typical that the embedding of a variety Y in another varietyX forces strong constraints on the existence of free linear series on Y . For example, a classical result in plane curve theory states that the gonality of a smooth plane curve of degree d is d − 1 ([ACGH]). It is then natural to look for general statements of this flavor. One particular case, which ...
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We provide a criterion that for an equivalence group G on holomorphic germs, the discriminant of a G-versal unfolding is a free divisor. The criterion is in terms of the discriminant being Cohen– Macaulay and generically having Morse-type singularities. When either of these conditions fails, we provide a criterion that the discriminant have a weaker free* divisor structure. For nonlinear sectio...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2016
ISSN: 0024-6115,1460-244X
DOI: 10.1112/plms/pdw013