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• W3110361504 abstract "This paper extends the result from Amnon Neeman regarding strong generators in <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=bold upper D Subscript p e r f Baseline left-parenthesis upper X right-parenthesis> <mml:semantics> <mml:mrow> <mml:msub> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=bold>D</mml:mi> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi>p</mml:mi> <mml:mi>e</mml:mi> <mml:mi>r</mml:mi> <mml:mi>f</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy=false>(</mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>mathbf {D}_{perf}(X)</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, from <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X> <mml:semantics> <mml:mi>X</mml:mi> <mml:annotation encoding=application/x-tex>X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> being a quasicompact, separated scheme to <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper X> <mml:semantics> <mml:mi>X</mml:mi> <mml:annotation encoding=application/x-tex>X</mml:annotation> </mml:semantics> </mml:math> </inline-formula> being quasicompact, quasiseparated scheme that admits a <italic>separator</italic> with some conditions. Neeman’s result states a necessary and sufficient condition for <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=bold upper D Subscript p e r f Baseline left-parenthesis upper X right-parenthesis> <mml:semantics> <mml:mrow> <mml:msub> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=bold>D</mml:mi> </mml:mrow> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi>p</mml:mi> <mml:mi>e</mml:mi> <mml:mi>r</mml:mi> <mml:mi>f</mml:mi> </mml:mrow> </mml:msub> <mml:mo stretchy=false>(</mml:mo> <mml:mi>X</mml:mi> <mml:mo stretchy=false>)</mml:mo> </mml:mrow> <mml:annotation encoding=application/x-tex>mathbf {D}_{perf}(X)</mml:annotation> </mml:semantics> </mml:math> </inline-formula> being regular. Together with being proper over a noetherian commutative ring, those conditions give an interesting description for when an <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper R> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding=application/x-tex>R</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-linear functor <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper H> <mml:semantics> <mml:mi>H</mml:mi> <mml:annotation encoding=application/x-tex>H</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is representable." @default.
• W3110361504 created "2020-12-07" @default.
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• W3110361504 date "2021-02-24" @default.
• W3110361504 modified "2023-09-27" @default.
• W3110361504 title "Strong generators in 𝐷_{𝑝𝑒𝑟𝑓}(𝑋) for schemes with a separator" @default.
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• W3110361504 doi "https://doi.org/10.1090/proc/15353" @default.
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