Exploració per tema "Curves, Algebraic"
Ara es mostren els items 1-12 de 12
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Algebraic description of jacobians isogeneous to certain prym varieties with polarization (1,2)
(2018-01-01)
Article
Accés obertFor a class of non-hyperelliptic genus 3 curves C which are twofold coverings of elliptic curves E, we give an explicit algebraic description of all birationally nonequivalent genus 2 curves whose Jacobians are degree 2 ... -
An inverse Jacobian algorithm for Picard curves
(Springer, 2021-06-01)
Article
Accés obertWe study the inverse Jacobian problem for the case of Picard curves over C. More precisely, we elaborate on an algorithm that, given a small period matrix O¿C3×3 corresponding to a principally polarized abelian threefold ... -
Constraints on the automorphism group of a curve
(2017-01-01)
Article
Accés obertFor a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-existence of automorphisms of order a power of a rational prime. We show how this criterion can be used to determine the ... -
Continuous and discrete neumann systems on stiefel varieties as matrix generalizations of the jacobi-mumford systems
(2021-06-01)
Article
Accés obertWe study geometric and algebraic geometric properties of the continuous and discrete Neumann systems on cotangent bundles of Stiefel varieties Vn,r. The systems are integrable in the non-commutative sense, and by applying ... -
Developable surfaces with prescribed boundary
(Springer-Birkhäuser, 2021)
Capítol de llibre
Accés obertIt is proved that a generic simple, closed, piecewise regular curve in space can be the boundary of only infinitely many developable surfaces with nonvanishing mean curvature. The relevance of this result in the context ... -
Equations of hyperelliptic Shimura curves
(2012)
Article
Accés obertWe describe a method for computing equations of hyperelliptic Shimura curves attached to indefinite quaternion algebras over Q and Atkin–Lehner quotients of them. It exploits Cerednik–Drinfeld 's non-archimedean uniformization ... -
Global phase portraits of the quadratic systems having a singular and irreducible invariant curve of degree 3
(2023-01)
Article
Accés obertAny singular irreducible cubic curve (or simply, cubic) after an affine transformation can be written as either y2=x3 , or y2=x2(x+1) , or y2=x2(x-1) . We classify the phase portraits of all quadratic polynomial differential ... -
NURBS-enhanced finite element method (NEFEM)
(Wiley and Sons, 2008-10)
Article
Accés obertAn improvement to the classical finite element (FE) method is proposed. It is able to exactly represent the geometry by means of the usual CAD description of the boundary with non-uniform rational B-splines (NURBS). Here, ... -
NURBS-enhanced finite element method for Euler equations
(2008-07)
Article
Accés obertIn this work, the NURBS-enhanced finite element method (NEFEM) is combined with a discontinuous Galerkin (DG) formulation for the numerical solution of Euler equations of gas dynamics. With NEFEM, numerical fluxes along ... -
Resolving singularities of curves with one toric morphism
(2022-11-15)
Article
Accés obertWe give an explicit positive answer, in the case of reduced curve singularities, to a question of B. Teissier about the existence of a toric embedded resolution after reembedding. In the case of a curve singularity (C, O) ... -
The minimal tjurina number of irreducible germs of plane curve singularities
(2021-01-01)
Article
Accés obertIn this paper we give a positive answer to a question of Dimca and Greuel about the quotient between the Milnor and the Tjurina numbers for any irreducible germ of plane curve singularity. This result is based on a closed ... -
When is a complete ideal in a rational surface singularity a multiplier ideal?
(Springer-Birkhäuser, 2021)
Capítol de llibre
Accés restringit per política de l'editorialThis is an extended abstract with some of the results that will appear in the forthcoming paper [1] in which we characterize when a given complete ideal in a two-dimensional local ring with a rational singularity can be ...