Výsledky vyhledávání - "Angel Carocca"

On Galois group of factorized covers of curves

Autor: Angel Carocca, Martha Romero Rojas

Publikováno v: Revista Matemática Iberoamericana. 34:1853-1866

Let Y→ ψ X→ φ P 1 Y→ψX→φP1 be a sequence of covers of compact Riemann surfaces. In this work we study and completely characterize the Galois group G(φ∘ψ) of φ∘ψ under the following properties: φ is a simple cover of degree m and

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https://doi.org/10.4171/rmi/1046

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$q$-\'etale covers of cyclic $p$-gonal covers

Autor: Rubén A. Hidalgo, Rubí E. Rodríguez, Angel Carocca

In this paper we study the Galois group of the Galois cover of the composition of a q-cyclic etale cover and a cyclic p-gonal cover for any odd prime p. Furthermore, we give properties of isogenous decompositions of certain Prym and Jacobian varietie

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http://arxiv.org/abs/2002.12082

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Riemann surfaces of genus $1+q^2$ with $3q^2$ automorphisms

Autor: Sebastián Reyes-Carocca, Angel Carocca

In this article we classify compact Riemann surfaces of genus $1+q^2$ with a group of automorphisms of order $3q^2,$ where $q$ is a prime number. We also study decompositions of the corresponding Jacobian varieties.
Comment: 26 pages, A small mi

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Equations for abelian subvarieties

Autor: Angel Carocca, Herbert Lange, Rubí E. Rodríguez

Given a finite group $G$ and an abelian variety $A$ acted on by $G$, to any subgroup $H$ of $G$, we associate an abelian subvariety $A_H$ on which the associated Hecke algebra $\mathcal{H}_H$ for $H$ in $G$ acts. Any irreducible rational representati

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Etale double covers of cyclic p-gonal covers

Autor: Rubí E. Rodríguez, Herbert Lange, Angel Carocca

This paper computes the Galois group of the Galois cover of the composition of an etale double cover of a cyclic p-gonal cover for any prime p. Moreover a relation between some of its Prym varieties and the Jacobian of a subcover is given. In a sense

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Hecke algebras acting on abelian varieties

Autor: Rubí E. Rodríguez, Angel Carocca

Publikováno v: Journal of Pure and Applied Algebra
Artículos CONICYT
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The action of a finite group G on an abelian variety A induces a decomposition of A into factors related to the rational irreducible representations of G , the so called isotypical decomposition of A ; when A = J Z is the Jacobian variety of a curve

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RETRACTED ARTICLE: Abelian varieties with finite abelian group action

Autor: Angel Carocca, Rubí E. Rodríguez, Herbert Lange

Publikováno v: Archiv der Mathematik. 112:447-448

An automorphism of an abelian variety induces a decomposition of the variety up to isogeny. There are two such results, namely the isotypical decomposition and Roan’s decomposition theorem. We show that they are essentially the same. Moreover, we g

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https://doi.org/10.1007/s00013-018-1244-3

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