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Journal of pure and applied algebra, ISSN 0022-4049, 02/2021, Volume 225, Issue 2, p. 106491
.... To this aim, we translate the problem into the study of some algebraic curves of small degree with respect to the degree of f... 
MRD code | Algebraic curve | Linear set | Hasse-Weil bound | Linearized polynomial
Journal Article
by Li, F and Jin, YL and Tian, Y and Yu, P
Journal of Differential Equations, ISSN 0022-0396, 11/2020, Volume 269, Issue 10, pp. 9026 - 9049
In this paper, complete integrability and linearizability of cubic Z(2) systems with two non-resonant and elementary singular points are investigated. First of... 
EXISTENCE | MATHEMATICS | Integrability | Invariant algebraic curve | Complex isochronous center | Linearizability | Complex center | BI-CENTER PROBLEM | 12 LIMIT-CYCLES | BIFURCATION
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 11/2020, Volume 269, Issue 10, pp. 9026 - 9049
In this paper, complete integrability and linearizability of cubic Z2 systems with two non-resonant and elementary singular points are investigated. First of... 
Complex isochronous center | Linearizability | Complex center | Integrability | Invariant algebraic curve
Journal Article
Journal of algebra, ISSN 0021-8693, 11/2020, Volume 562, pp. 200 - 228
We describe the minimal number of critical points and the minimal number s of singular fibres for a non isotrivial fibration of a surface S over a curve B of genus 1, exhibiting several examples... 
Fibrations of algebraic surfaces | Number of singular fibres | Symplectic fibrations | Stable fibrations | Symplectic group | Commutators | Mapping class group
Journal Article
Journal of symbolic computation, ISSN 0747-7171, 11/2020, Volume 101, pp. 152 - 169
.... Indeed, Couveignes and Lercier presented in February 2008 a process for constructing efficient normal bases of Fqn over Fq from some degree two functions on an elliptic curve over Fq... 
Algebraic group | Normal basis | Complexity | POLYNOMIALS | FIELDS | MATHEMATICS, APPLIED | FAST MULTIPLICATION | COMPUTER SCIENCE, THEORY & METHODS
Journal Article
Journal of algebra, ISSN 0021-8693, 10/2020, Volume 560, pp. 579 - 608
The purpose of this paper is to show that for a complete intersection curve C in projective space... 
Algebraic curves | Complete intersections | Algebraic geometry | Cayley-Bacharach
Journal Article
Journal of geometry and physics, ISSN 0393-0440, 09/2020, Volume 155, p. 103748
We generalise a classical argument for deducing algebraic models of Riemann surfaces from the Riemann–Roch theorem. The method involves counting arguments... 
Algebraic curve | Equivariance | Resolution | MATHEMATICS | PHYSICS, MATHEMATICAL
Journal Article
ALGEBRAIC GEOMETRY, ISSN 2313-1691, 09/2020, Volume 7, Issue 5, pp. 607 - 633
In this paper, we study local-global principles for tori over semi-global fields, which are one-variable function fields over complete discretely valued... 
ALGEBRAIC-GROUPS | MATHEMATICS | local-global principles | tori | semi-global fields | HOMOGENEOUS SPACES | linear algebraic groups | patching | torsors | Galois cohomology | flasque resolutions
Journal Article
Journal of Pure and Applied Algebra, ISSN 0022-4049, 09/2020, Volume 224, Issue 9, p. 106339
In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F11... 
Algebraic curve | Automorphism | Superspecial curve
Journal Article
Discrete mathematics, ISSN 0012-365X, 09/2020, Volume 343, Issue 9, p. 111985
Left and right idealizers are important invariants of linear rank-distance codes. In the case of maximum rank-distance (MRD for short) codes in Fqn×n the... 
linearized polynomial | MRD code | Idealizer, Gabidulin code | Moore matrix | Algebraic curve | AUTOMORPHISM-GROUPS | LINEAR SETS | RANK DISTANCE | DUAL HYPEROVALS | EQUIVALENCE | FAMILY | MATHEMATICS | IRREDUCIBLE POLYNOMIALS
Journal Article
JOURNAL OF PURE AND APPLIED ALGEBRA, ISSN 0022-4049, 09/2020, Volume 224, Issue 9
In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F-11... 
MATHEMATICS | Automorphism | MATHEMATICS, APPLIED | Algebraic curve | Superspecial curve
Journal Article
08/2020
In the present paper we investigate conditions for the non-existence of a limit linear series on a curve of compact type such that two smooth curves are bridged by a chain of two elliptic curves... 
Mathematics - Algebraic Geometry
Journal Article
08/2020
In this paper we consider double covers of the projective space in relation with the problem of extensions of varieties, specifically of extensions of canonical curves to $K3... 
Mathematics - Algebraic Geometry
Journal Article
08/2020
We report on the problem of the existence of complex and real algebraic curves in the plane with prescribed singularities up to analytic and topological equivalence... 
Mathematics - Algebraic Geometry
Journal Article
08/2020
By the geometry of the 3-fold quadric we show that the coarse moduli space of genus g ineffective spin hyperelliptic curves with two marked points is a rational... 
Mathematics - Algebraic Geometry
Journal Article
08/2020
In this paper, we talk about parahoric Hitchin systems over smooth projective curves with structure group a semisimple simply connected group... 
Mathematics - Algebraic Geometry
Journal Article
08/2020
We conjecture that any connected component $Q$ of the moduli space of triples $(X,E=E_1+\dots+E_n,\Theta)$ where $X$ is a smooth projective variety, $E$ is a... 
Mathematics - Algebraic Geometry
Journal Article
08/2020
...$, the underlying curve has maximal gonality. We extend this result to the case of quadratic strata when the partition $\mu... 
Mathematics - Algebraic Geometry
Journal Article
08/2020
.... As an application, we generalize a classical result of Nadel about the distribution of entire curves in the (compactified... 
Mathematics - Algebraic Geometry
Journal Article
08/2020
We show that if a smooth projective curve $C\subset\mathbb P^3$ (over an algebraically closed field of characteristic zero... 
Mathematics - Algebraic Geometry
Journal Article
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