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- W2073163485 abstract "We introduce a notion of homological projective duality for smooth algebraic varieties in dual projective spaces, a homological extension of the classical projective duality. If algebraic varieties X and Y in dual projective spaces are homologically projectively dual, then we prove that the orthogonal linear sections of X and Y admit semiorthogonal decompositions with an equivalent nontrivial component. In particular, it follows that triangulated categories of singularities of these sections are equivalent. We also investigate homological projective duality for projectivizations of vector bundles." @default.
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- W2073163485 date "2007-06-01" @default.
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- W2073163485 title "Homological projective duality" @default.
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- W2073163485 doi "https://doi.org/10.1007/s10240-007-0006-8" @default.
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