2-Weierstrass points of genus 3 hyperelliptic curves with extra involutions
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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
On different expressions for invariants of hyperelliptic curves of genus 3
Sign Up to like & getrecommendations! Published in 2021 at "Journal of the Mathematical Society of Japan"
DOI: 10.2969/jmsj/83418341
Abstract: In this paper we give a passage formula between different invariants of genus 3 hyperelliptic curves: in particular between Tsuyumine and Shioda invariants. This is needed to get modular expressions for Shioda invariants, that is,… read more here.
Keywords: different expressions; expressions invariants; genus hyperelliptic; invariants hyperelliptic ... See more keywords