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SEAN KEEL

Department of Mathematics, University of Texas at Austin, Austin, TX, 78712, USA

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and

JENIA TEVELEV

Department of Mathematics, University of Massachusetts at Amherst, Amherst, MA, 01003, USA

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https://doi.org/10.1142/S0129167X09005716Cited by:11 (Source: Crossref)

Abstract

We show that the log canonical bundle, κ, of is very ample, show the homogeneous coordinate ring is Koszul, and give a nice set of rank 4 quadratic generators for the homogeneous ideal: The embedding is equivariant for the symmetric group, and the image lies on many Segre embedded copies of ℙ¹ × ⋯ × ℙ^n-3, permuted by the symmetric group. The homogeneous ideal of is the sum of the homogeneous ideals of these Segre embeddings.

Keywords:

AMSC: 14

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