Notes on HPD

2015/12/30 by R. P. Thomas, Thomas, R. P.
Mathematics · #14F05 #14J32 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1512.08985

openalex publication_date 2015/12/30 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

Beginning with the theorems of Beilinson and Orlov on derived categories, we show how these lead naturally to Kuznetsov's beautiful theory of Homological Projective Duality. We then survey some examples.

Related

• Categorical Plücker Formula and Homological Projective Duality
• Derived category of projectivization and generalized linear duality
• The fundamental theorem of homological projective duality via variation\n of GIT stability
• HPD-invariance of the Tate, Beilinson and Parshin conjectures
• Noncommutative homological projective duality