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We consider the moduli space of pointed non-singular curves of genus g whose Weierstrass gap sequence has the largest gap $$\ell _g$$ℓg equal to $$2g-3$$2g-3. We stratify the moduli space by the… (More)
Abstract In this work we prove that are Weierstrass semigroups all numerical semigroups whose three first positive non-gaps are 6, 8 and 10, resolving the problem of the numerical semigroups that… (More)
We present a new result on the geometry of nonhyperelliptic curves; namely, the intersection divisors of a canonically embedded curve C with its osculating spaces at a point P, not considering the… (More)
We study double coverings of hyperelliptic curves and prove that certain families of $$\gamma $$γ-hyperelliptic numerical semigroups can be realized as Weierstrass semigroups.