On the Hilbert Scheme of Curves of Maximal Genus in a Projective Space.

Ciro Ciliberto

Displaying similar documents to “On the Hilbert Scheme of Curves of Maximal Genus in a Projective Space.”

A note on the Hilbert scheme of curves of degree $d$ and genus $(\binom{d - 3}{2}) - 1$ .

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Descent via (3,3)-isogeny on Jacobians of genus 2 curves

Nils Bruin, E. Victor Flynn, Damiano Testa (2014)

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We give a parametrization of curves C of genus 2 with a maximal isotropic (ℤ/3)² in J[3], where J is the Jacobian variety of C, and develop the theory required to perform descent via (3,3)-isogeny. We apply this to several examples, where it is shown that non-reducible Jacobians have non-trivial 3-part of the Tate-Shafarevich group.