Homological Projective Duality via Variation of Geometric Invariant Theory Quotients
arXiv:1306.3957
Abstract
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.
32 pages, expanded the original into two parts, accepted for publication in JEMS
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- Double quintic symmetroids, Reye congruences, and their derived equivalence
- The fundamental theorem of homological projective duality via variation of GIT stability
- Mirror Symmetry and Projective Geometry of Fourier-Mukai Partners
- Towards Homological Projective duality for S^2 P^3 and S^2 P^4
- A category of kernels for equivariant factorizations, II: further implications
- Homological Projective Duality for the Plücker embedding of the Grassmannian