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5 papers · 2 filters
The integral monodromy of hyperelliptic and trielliptic curves
Jeff Achter, Rachel Pries
We compute the $\integ/\ell$ and $\integ_\ell$ monodromy of every irreducible component of the moduli spaces of hyperelliptic and trielliptic curves. In particular, we provide a pr…
Induction for secant varieties of Segre varieties
Hirotachi Abo, Giorgio Ottaviani, Chris Peterson
This paper studies the dimension of secant varieties to Segre varieties. The problem is cast both in the setting of tensor algebra and in the setting of algebraic geometry. An indu…
On the discriminant locus of a Lagrangian fibration
Justin Sawon
Let be an irreducible holomorphic symplectic manifold of dimension fibred over . Matsushita proved that the generic fibre is a holomorphic Lagrangian abelian va…
Implementation of Kumar's correspondence
Hirotachi Abo, Chris Peterson
In 1997, N.M. Kumar published a paper which introduced a new tool of use in the construction of algebraic vector bundles. Given a vector bundle on projective n-space, a well known…
The p-torsion of curves with large p-rank
Rachel Pries
Consider the locus of smooth curves of genus g and p-rank f defined over an algebraically closed field k of characteristic p. It is an open problem to classify which group schemes…