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arXiv · 1209.4007

Asymptotic Schur decomposition of Veronese syzygy functors

Mihai Fulger·Xin Zhou
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Abstract

The syzygies of the d-th Veronese embedding of $\mathbb P(V)$ are functors of the complex vector space V. From a certain perspective, we show that as d grows, their Schur functor decomposition is very rich whenever they are not zero. This is deduced from an asymptotic study of related plethysms. We also obtain other results related to a question of Ein and Lazarsfeld.

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Mihai Fulger, Xin Zhou. 2012-09-18. Asymptotic Schur decomposition of Veronese syzygy functors. https://arxiv.org/abs/1209.4007

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