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

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

2010-09-07

arxiv.org/abs/1009.1199v1

Mathematics

Algebraic Geometry

21 pages

Scientific paper

10.1112/jlms/jdr038

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.

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