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Syzygies of quadratic Veronese embedding

Syzygies of quadratic Veronese embedding

In this work we explicitly calculate syzygies of quadratic Veronese embedding P(V ) ⊂ P(Sym 2 V ) as representations of the group GL(V ).Also resolutions of the sheaves O P(V ) (i) are constructed in the category D(P(Sym 2 V )).