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math.AG2013
Refinements to Mumford's theta and adelic theta groups
Nathan Grieve
Let be an abelian variety defined over an algebraically closed field . We consider theta groups associated to \emph{simple semi-homogenous vector bundles of separable type}…
math.AG2013★ 22 cited
Four lectures on secant varieties
E. Carlini, N. Grieve, L. Oeding
This paper is based on the first author's lectures at the 2012 University of Regina Workshop "Connections Between Algebra and Geometry". Its aim is to provide an introduction to th…
math.AG2013★ 1 cited
Index conditions and cup-product maps on abelian varieties
Nathan Grieve
We study questions surrounding cup-product maps which arise from pairs of non-degenerate line bundles on an abelian variety. Important to our work is Mumford's index theorem which…