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

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1 Published in 2017 at "Communications in Algebra"

DOI: 10.1080/00927872.2016.1226861

Abstract: ABSTRACT We consider families of curves with extra automorphisms in ℋ3, the moduli space of smooth hyperelliptic curves of genus g = 3. Such families of curves are explicitly determined in terms of the absolute… read more here.

Keywords: weierstrass points; curves extra; points genus; genus hyperelliptic ... See more keywords

Weierstrass points on bielliptic intermediate modular curves

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0 Published in 2021 at "Rocky Mountain Journal of Mathematics"

DOI: 10.1216/rmj.2021.51.439

Abstract: We find all Weierstrass points on some of the bielliptic intermediate modular curves XΔ(N) whose bielliptic involutions are of Atkin–Lehner type. read more here.

Keywords: weierstrass points; points bielliptic; bielliptic intermediate; intermediate modular ... See more keywords

Weierstrass points on Kummer extensions

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1 Published in 2018 at "Advances in Geometry"

DOI: 10.1515/advgeom-2018-0021

Abstract: Abstract For Kummer extensions given by ym = f(x), we discuss conditions for an integer to be a Weierstrass gap at a place P. In the case of fully ramified places, the conditions are necessary… read more here.

Keywords: weierstrass points; points kummer; kummer extensions;