Geodesic
Syzygies of quadratic Veronese embedding
Sbornik. Mathematics, Tome 208 (2017) no. 2, pp. 200-222

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: representations of reductive groups, Veronese embedding, syzygies. 
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     author = {I. V. Netay},
     title = {Syzygies of quadratic {Veronese} embedding},
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     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/SM_2017_208_2_a1/}
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I. V. Netay. Syzygies of quadratic Veronese embedding. Sbornik. Mathematics, Tome 208 (2017) no. 2, pp. 200-222. http://geodesic.mathdoc.fr/item/SM_2017_208_2_a1/