Secant varieties of P^2 x P^n embedded by O(1,2)
Algebraic Geometry
2018-06-18 v1
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.
Keywords
Cite
@article{arxiv.1009.1199,
title = {Secant varieties of P^2 x P^n embedded by O(1,2)},
author = {Dustin Cartwright and Daniel Erman and Luke Oeding},
journal= {arXiv preprint arXiv:1009.1199},
year = {2018}
}
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21 pages