PencilsOfQuadrics : Index
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baseRing -- part of a RandomNicePencil
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centers -- even and odd action of the center of the even Clifford algebra
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centers(List,List) -- even and odd action of the center of the even Clifford algebra
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ciModuleToCliffordModule -- transforms a module over a complete intersection of 2 quadrics into a Clifford Module.
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ciModuleToCliffordModule(Module) -- transforms a module over a complete intersection of 2 quadrics into a Clifford Module.
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ciModuleToMatrixFactorization -- transforms a module over a complete intersection of 2 quadrics into a matrix factorization
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ciModuleToMatrixFactorization(Module) -- transforms a module over a complete intersection of 2 quadrics into a matrix factorization
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CliffordModule -- hash table holding details of a Clifford module
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cliffordModule -- makes a clifford Module
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cliffordModule(List,List) -- makes a clifford Module
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cliffordModule(Matrix,Matrix,Ring) -- makes a clifford Module
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cliffordModuleToCIResolution -- transforms a Clifford module to a resolution over a complete intersection ring
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cliffordModuleToCIResolution(CliffordModule,Ring,Ring) -- transforms a Clifford module to a resolution over a complete intersection ring
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cliffordModuleToMatrixFactorization -- reads off a matrix factorization from a Clifford module
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cliffordModuleToMatrixFactorization(CliffordModule,Ring) -- reads off a matrix factorization from a Clifford module
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cliffordOperators -- Generators for a Clifford Algebra
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cliffordOperators(Matrix,Matrix,Ring) -- Generators for a Clifford Algebra
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degOnE -- degree of a vector bundle on E
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degOnE(Matrix) -- degree of a vector bundle on E
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degOnE(VectorBundleOnE) -- degree of a vector bundle on E
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evenCenter -- part of a CliffordModule
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evenOperators -- part of a CliffordModule
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hyperellipticBranchEquation -- part of a CliffordModule
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isotropicSpace -- part of a RandomNicePencil
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matFact1 -- part of a RandomNicePencil
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matFact2 -- part of a RandomNicePencil
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matFactu1 -- part of a RandomNicePencil
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matFactu2 -- part of a RandomNicePencil
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matrixFactorizationK -- Knoerrer matrix factorization from a bilinear form X*transpose Y
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matrixFactorizationK(Matrix,Matrix) -- Knoerrer matrix factorization from a bilinear form X*transpose Y
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oddCenter -- part of a CliffordModule
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oddOperators -- part of a CliffordModule
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orderInPic -- order of a line bundle of degree 0 in Pic(E)
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orderInPic(Matrix) -- order of a line bundle of degree 0 in Pic(E)
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orderInPic(VectorBundleOnE) -- order of a line bundle of degree 0 in Pic(E)
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PencilsOfQuadrics -- Clifford Algebra of a Pencil of quadratic forms on PP^(2g+1)
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qqRing -- part of a RandomNicePencil
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quadraticForm -- part of a RandomNicePencil
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randNicePencil -- sets up a random pencil of quadrics, and returns a hash table of the type RandomNicePencil.
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randNicePencil(Ring,ZZ) -- sets up a random pencil of quadrics, and returns a hash table of the type RandomNicePencil.
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randomExtension -- a random extension of a vector bundle on E by another vector bundle
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randomExtension(Matrix,Matrix) -- a random extension of a vector bundle on E by another vector bundle
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randomExtension(VectorBundleOnE,VectorBundleOnE) -- a random extension of a vector bundle on E by another vector bundle
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randomIsotropicSubspace -- choose a random isotropic subspace
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randomIsotropicSubspace(CliffordModule,PolynomialRing) -- choose a random isotropic subspace
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randomLineBundle -- a random line bundle on the hyperelliptic curve
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randomLineBundle(RingElement) -- a random line bundle on the hyperelliptic curve
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randomLineBundle(ZZ,RingElement) -- a random line bundle on the hyperelliptic curve
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RandomNicePencil -- hash table holding details of a random pencil of quadrics
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randomNicePencil -- sets up a random example to construct Clifford algebra and representation
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randomNicePencil(Ring,ZZ) -- sets up a random example to construct Clifford algebra and representation
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searchUlrich -- searching an Ulrich module of smallest possible rank
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searchUlrich(CliffordModule,Ring) -- searching an Ulrich module of smallest possible rank
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symMatrix -- part of a CliffordModule
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symmetricM -- part of a CliffordModule
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tensorProduct -- tensor product of sheaves on the elliptic curve or sheaf times CliffordModule
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tensorProduct(CliffordModule,VectorBundleOnE) -- tensor product of sheaves on the elliptic curve or sheaf times CliffordModule
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tensorProduct(Matrix,Matrix) -- tensor product of sheaves on the elliptic curve or sheaf times CliffordModule
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tensorProduct(VectorBundleOnE,VectorBundleOnE) -- tensor product of sheaves on the elliptic curve or sheaf times CliffordModule
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translateIsotropicSubspace -- choose a random isotropic subspace
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translateIsotropicSubspace(CliffordModule,VectorBundleOnE,PolynomialRing) -- choose a random isotropic subspace
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VectorBundleOnE -- vector bundle on a hyperelliptic curve E
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vectorBundleOnE -- creates a VectorBundleOnE, represented as a matrix factorization
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vectorBundleOnE(Matrix) -- creates a VectorBundleOnE, represented as a matrix factorization
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yAction -- defines a vector bundle on E