Syzygies of quadratic Veronese embedding

I. V. Netay

Sbornik. Mathematics, Tome 208 (2017) no. 2, pp. 200-222

Résumé

In this work we explicitly calculate the syzygies of the quadratic Veronese embedding $\mathbb{P}(V)\subset\mathbb{P}(\operatorname{Sym}^2V)$ as representations of the group $\operatorname{GL}(V)$. Resolutions of the sheaves $\mathscr{O}_{\mathbb{P}(V)}(i)$ are also constructed in the category $D(\mathbb{P}(\operatorname{Sym}^2V))$. Bibliography: 20 titles.

Détail

Keywords: representations of reductive groups, Veronese embedding, syzygies.

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