منابع مشابه
Nilpotent Jacobians in dimension three
In this paper we completely classify all polynomial maps of the form H = (u(x, y), v(x, y, z), h(u(x, y), v(x, y, z)) with JH nilpotent. AMS subject classification : 14R15, 14R10, 14E07.
متن کاملTriangulable Locally Nilpotent Derivations in Dimension Three
In this paper we give an algorithm to recognize triangulable locally nilpotent derivations in dimension three. In case the given derivation is triangulable, our method produces a coordinate system in which it exhibits a triangular form.
متن کاملCharacterization of Rank Two Locally Nilpotent Derivations in Dimension Three
In this paper we give an algorithmic characterization of rank two locally nilpotent derivations in dimension three. Together with an algorithm for computing the plinth ideal, this gives a method for computing the rank of a locally nilpotent derivation in dimension three.
متن کاملNon-hyperelliptic modular Jacobians of dimension 3
We present a method to solve in an efficient way the problem of constructing the curves given by Torelli’s theorem in dimension 3 over the complex numbers: For an absolutely simple principally polarized abelian threefold A over C given by its period matrix Ω, compute a model of the curve of genus three (unique up to isomorphism) whose Jacobian, equipped with its canonical polarization, is isomo...
متن کاملTwists of Genus Three Jacobians
There exists a weight 1 Katz-Siegel modular form ξ1 ∧ ξ2 ∧ ξ3 for Abelian schemes of relative dimension 3; moreover the following statements hold. d Let k be a field of characteristic different to 2. Let (A, a) be a principally polarised Abelian threefold with indecomposable polarisation a; then if χ18(A, a) 6= 0, we have χ18(A, a) (ξ1 ∧ ξ2 ∧ ξ3) ∈ k∗4 if and only if (A, a) is a k rational Jaco...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2006
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2005.06.003