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