Genus 3 normal coverings of the Riemann sphere branched over 4 points | Zendy

Yolanda Fuertes | Zendy; Manfred Streit | Zendy

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Genus 3 normal coverings of the Riemann sphere branched over 4 points

Author(s) -

Yolanda Fuertes,

Manfred Streit

Publication year - 2006

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/462

Subject(s) - genus , riemann surface , mathematics , moduli space , quotient , riemann–hurwitz formula , riemann sphere , pure mathematics , automorphism , factorization , algebra over a field , mathematical analysis , geometric function theory , zoology , algorithm , biology

In this paper we study the 5 families of genus 3 compact Riemann surfaces which are normal coverings of the Riemann sphere branched over 4 points from very different aspects: their moduli spaces, the uniform Belyi functions that factorize through the quotient by the automorphism groups and the Weierstrass points of the non hyperelliptic families

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