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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… Click to show full 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 invariants of binary octavics. For each family of positive dimension where |Aut (C)|>4, we determine the possible distributions of weights of 2-Weierstrass points.
Keywords:
weierstrass points;
curves extra;
points genus;
genus hyperelliptic;
hyperelliptic curves;
extra involutions
Journal Title: Communications in Algebra
Year Published: 2017
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Journal Title: Communications in Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!