搜索结果: 1-6 共查到“理学 Jacobians”相关记录6条 . 查询时间(0.078 秒)
Pairing-based algorithms for jacobians of genus 2 curves with maximal endomorphism ring
Pairing-based algorithms jacobians of genus 2 curves maximal endomorphism ring Number Theory
2012/4/17
Using Galois cohomology, Schmoyer characterizes cryptographic non-trivial self-pairings of the $\ell$-Tate pairing in terms of the action of the Frobenius on the $\ell$-torsion of the Jacobian of a ge...
The Local Structure of Compactified Jacobians: Deformation Theory
Compactified Jacobian compactified Picard scheme nodal curve torsion-free sheaf
2011/9/16
Abstract: This paper studies the local geometry of compactified Jacobians constructed by Caporaso, Oda-Seshadri, Pandharipande, and Simpson. The main result is a presentation of the completed local ri...
Short loop decompositions of surfaces and the geometry of Jacobians
Short loop decompositions the geometry of Jacobians
2010/11/19
Given a Riemannian surface, we consider a naturally embedded graph which captures part of the topology and geometry of the surface. By studying this graph, we obtain results in three different directi...
Families of explicitly isogenous Jacobians of variable-separated curves
Families of explicitly isogenous Jacobians variable-separated curves
2010/12/1
We construct six infinite series of families of pairs of curves (X, Y )of arbitrarily high genus, defined over number fields, together with an explicit isogeny JX ! JY splitting multiplication by 2, 3...
We study Esteves’s fine compactified Jacobians for nodal curves. We give a proof of the fact that, for a one-parameter regular local smoothing of a nodal curve X.
Characterizations of Generalized Monotone Nonsmooth Continuous Maps using Approximate Jacobians
Monotone maps quasimonotone maps pseudomonotone maps approximate Jacobians
2009/1/22
This paper presents necessary and/or sufficient conditions for a continuous map to be monotone, quasimonotone or pseudomonotone. The results are given in terms of approximate Jacobian matrices which r...