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Syzygies of Quadratic Veronese Embedding
Published 14 Oct 2016 in math.AG and math.RT | (1610.04558v1)
Abstract: In this work we explicitly calculate syzygies of quadratic Veronese embedding $\mathbb{P}(V)\subset\mathbb{P}(\operatorname{Sym}2V)$ as representations of the group $\operatorname{GL}(V)$. Also resolutions of the sheaves $\mathscr{O}_{\mathbb{P}(V)}(i)$ are constructed in the category $D(\mathbb{P}(\operatorname{Sym}2V))$.
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