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BBGG

Beilinson monads and derived categories for coherent sheaves over P^n

2022.08-01

19 August 2022

Kamal Saleh
Email: kamal.saleh@uni-siegen.de
Homepage: https://github.com/kamalsaleh
Address:
Department Mathematik
Universität Siegen
Walter-Flex-Straße 3
57072 Siegen
Germany

Contents

1 Operations and attributes

  1.1-1 CastelnuovoMumfordRegularity
  1.1-2 TateResolution
  1.1-3 TateResolution
  1.1-4 RCochainFunctor
  1.1-5 RChainFunctor
  1.1-6 LCochainFunctor
  1.1-7 LChainFunctor
  1.1-8 TruncationFunctorUsingTateResolution
  1.1-9 NatTransFromTruncationUsingTateResolutionToIdentityFunctor
  1.1-10 TruncationFunctorUsingHomalg
  1.1-11 NatTransFromTruncationUsingHomalgToIdentityFunctor
  1.1-12 NatTransFromTruncationUsingTateResolutionToTruncationFunctorUsingHomalg
  1.1-13 GLPGeneratedByHomogeneousPartFunctor
  1.1-14 NatTransFromGLPGeneratedByHomogeneousPartToIdentityFunctor
  1.1-15 HomogeneousPartOverCoefficientsRingFunctor

2 Beilinson Monads and $\mathrm{Coh}(\mathbb{P}^m)$

  2.1-1 TwistedOmegaModule
  2.1-2 TwistedGradedFreeModule
  2.1-3 TwistedCotangentModule
  2.1-4 TwistedCotangentModuleAsChain
  2.1-5 TwistedCotangentModuleAsCochain
  2.1-6 BasisBetweenTwistedOmegaModules
  2.1-7 BasisBetweenTwistedGradedFreeModules
  2.1-8 BasisBetweenTwistedCotangentModulesAsGLP
  2.1-9 BeilinsonReplacement
  2.1-10 BeilinsonReplacement
  2.1-11 MorphismFromGLPToZerothObjectOfBeilinsonReplacement
  2.1-12 MorphismFromGLPToZerothHomologyOfBeilinsonReplacement
  2.1-13 MorphismFromZerothObjectOfBeilinsonReplacementToGLP
  2.1-14 MorphismFromZerothHomologyOfBeilinsonReplacementToGLP
  2.1-15 ShowMatrix

3 BBGG automatic generated documentation

3.1 BBGG automatic generated documentation of attributes

3.1-1 CoherentSheavesOverProjectiveSpace

4 Interface with homalg

  4.1-1 AsPresentationInHomalg
  4.1-2 AsPresentationInCAP
  4.1-3 AsPresentationMorphismInHomalg
  4.1-4 AsPresentationMorphismInCAP

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