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arxiv: 1306.3957 · v3 · pith:N6KSM5IHnew · submitted 2013-06-17 · 🧮 math.AG

Homological Projective Duality via Variation of Geometric Invariant Theory Quotients

classification 🧮 math.AG
keywords homologicalprojectivegeometricapproachdualitydualsinvariantquotients
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We provide a geometric approach to constructing Lefschetz collections and Landau-Ginzburg Homological Projective Duals from a variation of Geometric Invariant Theory quotients. This approach yields homological projective duals for Veronese embeddings in the setting of Landau Ginzburg models. Our results also extend to a relative Homological Projective Duality framework.

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