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Homological projective duality via variation of geometric invariant theory quotients
Journal article

Homological projective duality via variation of geometric invariant theory quotients

Matthew Ballard, Dragos Deliu, David Favero, M. Umut Isik and Ludmil Katzarkov
Journal of the European Mathematical Society : JEMS, Vol.19(4), pp.1127-1158
2017
DOI: https://doi.org/10.4171/JEMS/689

Abstract

Algebraic geometry Category theory homological algebra
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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Citation topics
9 Mathematics
9.28 Pure Maths
9.28.246 Moduli Spaces
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Mathematics
Mathematics, Applied
ESI research areas
Mathematics

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