Exploració per tema "Classificació AMS::14 Algebraic geometry::14H Curves"
Ara es mostren els items 1-20 de 27
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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 ellipsoidal billiard with a quadratic potential
(2003)
Article
Accés obertThere exists an in infite hierarchy of integrable generalizations of the geodesic flow on an n -di- mensional ellipsoid.hese generalizations describe the motion of a point in the force fields of certain polynomial potentials.In ... -
Classification of plane germs: metric and valorative properties
(Universitat Politècnica de Catalunya, 2008-06)
Projecte/Treball Final de Carrera
Accés obertIn this memory we follow the geometric approach of Casas’ boof [1] for studying of the singularities of plane germs of curves, which updates Enriques’ works to modern standards and reviews the modern development of the ... -
Closed Geodesics and Billiards on Quadrics related to elliptic KdV solutions
(2004)
Article
Accés obertWe consider algebraic geometrical properties of the integrable billiard on a quadric Q with elastic impacts along another quadric confocal to Q. These properties are in sharp contrast with those of the ellipsoidal Birkho® ... -
Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities
(WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim, 2018)
Article
Accés obertThe aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a two-dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given ... -
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 ... -
Extension of maps defined on many fibres
(1997)
Article
Accés obertLet S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base ... -
Generation of curved high-order meshes with optimal quality and geometric accuracy
(2016)
Article
Accés obertWe present a novel methodology to generate curved high-order meshes featuring optimal mesh quality and geometric accuracy. The proposed technique combines a distortion measure and a geometric L2-disparity measure into a ... -
Genus two curves with quaternionic multiplication and modular jacobian
(2007)
Article
Accés obertWe describe a method to determine all the isomorphism classes of principal polarizations of the modular abelian surfaces $A_f$ with quaternionic multiplication attached to a normalized newform $f$ without complex ... -
Limit distribution of Hodge spectral exponents of plane curve singularities
(Universitat Politècnica de Catalunya, 2023-09-14)
Projecte Final de Màster Oficial
Accés obertK. Saito va formular la pregunta de si una distribució continua és el límit de la distribució dels exponents espectrals de Hodge a l'interval [0,1) d'una hipersuperfície quan aquesta es mou en un sentit que s'ha de precisar. ... -
Local geometry of analytic planar morphisms
(Universitat Politècnica de Catalunya, 2017-07)
Projecte Final de Màster Oficial
Accés obertThis work focuses in the study of local geometry of analytic planar morphisms. First, we introduce the basic concepts that will be needed to present the main part of the work. Secondly, we study the effect of analytic ... -
Low degree equations for phylogenetic group-based models
(2015)
Article
Accés obertMotivated by phylogenetics, our aim is to obtain a system of low degree equations that define a phylogenetic variety on an open set containing the biologically meaningful points. In this paper we consider phylogenetic ... -
Moduli spaces and formal operads
(2003)
Article
Accés obertLet Mg,l be the moduli space of stable algebraic curves of genus g with l marked points. With the operations which relate the different moduli spaces identifying marked points, the family (Mg,l)g,l is a modular operad ... -
Multiplier ideals of plane curves
(Universitat Politècnica de Catalunya, 2012-10)
Projecte Final de Màster Oficial
Accés restringit per decisió de l'autorMultiplier ideals and their corresponding jumping numbers have been revealed as a fundamental tool to measure the singularity of plane curves. There are approaches to these objects from both Commutative Algebra and Algebraic ... -
On the elliptic Stark conjecture at primes of multiplicative reduction
(2019-01-01)
Article
Accés obertIn [DLR], Darmon, Lauder, and Rotger formulated a p-adic elliptic Stark conjecture for the twist of an elliptic curve E/Q by the self-dual tensor product ¿ ¿ of two odd and two-dimensional Artin representations. These ... -
On the slope of bielliptic fibrations
(1997)
Article
Accés obertLet $\pi :S\longrightarrow B$ be a bielliptic fibration. We prove $S$ is, up to base change, a rational double cover of an elliptic fibration and that $\pi $ is isotrivial provided it is smooth. Finally, we prove that the ... -
On the slope of fibred surfaces
(1998)
Article
Accés obert -
On the Torelli problem and Jacobian Nullwerte in genus three
(2008)
Article
Accés obertWe give a closed formula for recovering a non-hyperelliptic genus three curve from its period matrix, and derive some identities between Jacobian Nullwerte in dimension three. -
Optimizations in the computation of pairings and cryptographic applications
(Universitat Politècnica de Catalunya, 2013-07)
Projecte Final de Màster Oficial
Accés obertEn la criptografía de clave pública actual el uso de curvas elípticas es cada vez más habitual debido a que ofrecen una seguridad similar a los ya utilizados cuerpos finitos, pero con unas claves más cortas. Por otra parte, ... -
Proper generalized decomposition solutions within a domain decomposition strategy
(John Wiley & sons, 2018-03-30)
Article
Accés obertDomain Decomposition strategies and the Proper Generalized Decomposition are efficiently combined to obtain a fast evaluation of the solution approximation in parameterized elliptic problems with complex geometries. The ...
