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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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Matthew Ballard, Dragos Deliu, David Favero, M. Umut Isik, Ludmil Katzarkov, Homological projective duality via variation of geometric invariant theory quotients. J. Eur. Math. Soc. 19 (2017), no. 4, pp. 1127–1158DOI 10.4171/JEMS/689