Results 1 to 10 of about 2,524,566 (357)

The Dubrovin threefold of an algebraic curve [PDF]

Nonlinearity, 2020
The solutions to the Kadomtsev–Petviashvili equation that arise from a fixed complex algebraic curve are parametrized by a threefold in a weighted projective space, which we name after Boris Dubrovin. Current methods from nonlinear algebra are applied to
Daniele Agostini, Turku Ozlum Celik, B. Sturmfels   +2 more
semanticscholar   +1 more source

Non-linear bi-algebraic curves and surfaces in moduli spaces of Abelian differentials

Comptes Rendus. Mathématique, 2023
The strata of the moduli spaces of Abelian differentials are non-homogenous spaces carrying natural bi-algebraic structures. Partly inspired by the case of homogenous spaces carrying bi-algebraic structures (such as torii, Abelian varieties and Shimura ...
Deroin, Bertrand, Matheus, Carlos
doaj   +1 more source

Algebraic subgroups of the group of birational transformations of ruled surfaces [PDF]

Épijournal de Géométrie Algébrique, 2023
We classify the maximal algebraic subgroups of Bir(CxPP^1), when C is a smooth projective curve of positive genus.
Pascal Fong
doaj   +1 more source

Parametrization of Algebraic Points of Low Degrees on the Schaeffer Curve

Journal of Mathematical Sciences and Modelling, 2021
In this paper, we give a parametrization of algebraic points of degree at most $4$ over $\mathbb{Q}$ on the schaeffer curve $\mathcal{C}$ of affine equation : $ y^{2}=x^{5}+1 $. The result extends our previous result which describes in [5] ( Afr.
Moussa Fall
doaj   +1 more source

A polynomial-time algorithm for the topological type of a real algebraic curve [PDF]

Journal of symbolic computation, 1984
Dennis S. Arnon, Scott McCallum
openalex   +2 more sources

Algebraic curve for a cusped Wilson line [PDF]

, 2013
A bstractWe consider the classical limit of the recently obtained exact near-BPS result for the anomalous dimension of a cusped Wilson line with the insertion of an operator with L units of R-charge at the cusp in planar $ \mathcal{N} $ = 4 SYM.
Grigory Sizov, Saulius Valatka
semanticscholar   +1 more source

Point Orthogonal Projection onto a Spatial Algebraic Curve

Mathematics, 2020
Point orthogonal projection onto a spatial algebraic curve plays an important role in computer graphics, computer-aided geometric design, etc. We propose an algorithm for point orthogonal projection onto a spatial algebraic curve based on Newton’s ...
Taixia Cheng, Zhinan Wu, Xiaowu Li, Chan Wang   +3 more
doaj   +1 more source

A Topological View of Reed–Solomon Codes

Mathematics, 2021
We studied a particular class of well known error-correcting codes known as Reed–Solomon codes. We constructed RS codes as algebraic-geometric codes from the normal rational curve.
Alberto Besana, Cristina Martínez
doaj   +1 more source

Cherednik Algebras for Algebraic Curves [PDF]

, 2010
For any smooth algebraic curve C, Pavel Etingof introduced a `global' Cherednik algebra as a natural deformation of the cross product of the algebra of differential operators on C^n and the symmetric group. We provide a construction of the global Cherednik algebra in terms of quantumn Hamiltonian reduction. We study a category of character D-modules on
Finkelberg, Michael, Ginzburg, Victor
openaire   +2 more sources

Real points of coarse moduli schemes of vector bundles on a real algebraic curve [PDF]

, 2010
We examine a moduli problem for real and quaternionic vector bundles on a smooth complex projective curve with a fixed real structure, and we give a gauge-theoretic construction of moduli spaces for semi-stable such bundles with fixed topological type ...
Florent Schaffhauser
semanticscholar   +1 more source