Secant varieties of P^2 x P^n embedded by O(1,2)

arxiv: 1009.1199 · v1 · pith:OBY6JQIUnew · submitted 2010-09-07 · 🧮 math.AG

Secant varieties of P² x P^n embedded by O(1,2)

Dustin Cartwright , Daniel Erman , Luke Oeding This is my paper

classification 🧮 math.AG

keywords secantembeddedidealvarietiesarbitraryconstructiondecompositiondefining

0 comments p. Extension

pith:OBY6JQIU Add to your LaTeX paper

What is a Pith Number?

\usepackage{pith}
\pithnumber{OBY6JQIU}

Prints a linked pith:OBY6JQIU badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more

read the original abstract

We describe the defining ideal of the rth secant variety of P^2 x P^n embedded by O(1,2), for arbitrary n and r at most 5. We also present the Schur module decomposition of the space of generators of each such ideal. Our main results are based on a more general construction for producing explicit matrix equations that vanish on secant varieties of products of projective spaces. This extends previous work of Strassen and Ottaviani.

This paper has not been read by Pith yet.

Secant varieties of P² x P^n embedded by O(1,2)

discussion (0)