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From hyperelliptic to superelliptic curves (Q5226123)

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scientific article; zbMATH DE number 7087048

Language	Label	Description	Also known as
English	From hyperelliptic to superelliptic curves	scientific article; zbMATH DE number 7087048

Statements

scholarly article

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Andreas Malmendier

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publication date

30 July 2019

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full work available at URL

https://arxiv.org/abs/1906.02373

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http://albanian-j-math.com/archives/2019-03.pdf

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zbMATH Keywords

hyperelliptic curves

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superelliptic curves

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.AG

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On the Number of Automorphisms of a Closed Riemann Surface

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Strongly Branched Coverings of Closed Riemann Surfaces

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Riemann surfaces, theta functions, and Abelian automorphisms groups

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On cyclic covers of the projective line

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Fields of moduli and fields of definition of odd signature curves

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The Diophantine Equation <i>y</i> <sup>2</sup> = <i>ax</i> <sup>3</sup> +<i>bx</i> <sup>2</sup> +<i>cx</i> +<i>d</i>

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Introduction to the theory of weighted projective spaces

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Weighted greatest common divisors and weighted heights

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On superelliptic curves of level $n$ and their quotients, I

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On hyperelliptic curves of genus 3

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The arithmetic of genus two curves

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On Jacobians of curves with superelliptic components

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Quotients of hypersurfaces in weighted projective space

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Genus-2 curves and Jacobians with a given number of points

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On automorphisms of algebraic curves

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Espaces projectifs anisotropes

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Thomae's derivative formulae for trigonal curves

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Generalizations of Thomae's formula for \(Z_n\) curves

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Curves, Jacobians, and cryptography

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Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification

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Schinzel's problem: Imprimitive covers and the monodromy method

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On curves with separated variables

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Algebraic curves with a large non-tame automorphism group fixing no point

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On prime Galois coverings of the Riemann sphere

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Variations on a theorem of Abel

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Hyperelliptic Curves with Extra Involutions

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Reductive groups are geometrically reductive

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Shimura curves as intersections of Humbert surfaces and defining equations of QM-curves of genus two

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Funktionenkörper mit großer Automorphismengruppe.

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On the field of moduli of superelliptic curves

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Fields of moduli of some special curves

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Automorphisms of prime order of curves

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Arithmetic variety of moduli for genus two

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The group of automorphisms of cyclic extensions of rational function fields

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Thomae formula for general cyclic covers of \({{\mathbb {CP}}^1}\)

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Invariants of Binary Forms

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An Algorithm for Finding a Minimal Weierstrass Equation for an Elliptic Curve

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About the group law for the Jacobi variety of a hyperelliptic curve

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Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète

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On the Discriminant of a Hyperelliptic Curve

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Computing the geometric endomorphism ring of a genus-2 Jacobian

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On a Curve of Genus 7

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Abelian Groups of Automorphisms of Compact Riemann Surfaces

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Computing heights on weighted projective spaces

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Classifying families of superelliptic curves

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Hyperelliptic curves with many automorphisms

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Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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Tata lectures on theta III. In collaboration with Madhav Nori and Peter Norman

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Invariants of a group in an affine ring

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Superelliptic curves with many automorphisms and CM Jacobians

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Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation

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Generalized Weierstrass \(\wp\)-functions and KP flows in affine space

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Automorphism groups of cyclic curves defined over finite fields of any characteristics

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Determining equations of families of cyclic curves

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Über die Automorphismen eines algebraischen Funktionenkörpers von Primzahlcharakteristik.

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Curves of genus 2 with \((N,N)\) decomposable Jacobians

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Genus 2 fields with degree 3 elliptic subfields

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Some Remarks on the Hyperelliptic Moduli of Genus 3

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2-Weierstrass points of genus 3 hyperelliptic curves with extra involutions

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On the Graded Ring of Invariants of Binary Octavics

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Weierstrass points of superelliptic curves

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Über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. I: Eine Abschätzung der Ordnung der Automorphismengruppe

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Algebraic Function Fields and Codes

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Algorithm for determining the type of a singular fiber in an elliptic pencil

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Weierstrass points in characteristic \(p\)

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The Field of Definition of a Variety

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On Curves with Split Jacobians

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Families of absolutely simple hyperelliptic jacobians

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5226123

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