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arXiv · 0910.2424

Linear determinantal equations for all projective schemes

Jessica Sidman·Gregory G. Smith
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Abstract

We prove that every projective embedding of a connected scheme determined by the complete linear series of a sufficiently ample line bundle is defined by the 2-minors of a 1-generic matrix of linear forms. Extending the work of Eisenbud-Koh-Stillman for integral curves, we also provide effective descriptions for such determinantally presented ample line bundles on products of projective spaces, Gorenstein toric varieties, and smooth n-folds.

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BibTeXRIS

Jessica Sidman, Gregory G. Smith. 2011-06-30. Linear determinantal equations for all projective schemes. https://doi.org/10.2140/ant.2011.5.1041

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