D.15.33.1 makeVariety | | create a variety |
D.15.33.2 printVariety | | print procedure for a variety |
D.15.33.3 productVariety | | make the product of two varieties |
D.15.33.4 ChowRing | | create the Chow ring of a variety |
D.15.33.5 Grassmannian | | create a Grassmannian as a variety |
D.15.33.6 projectiveSpace | | create a projective space as a variety |
D.15.33.7 projectiveBundle | | create a projective bundle as a variety |
D.15.33.8 integral | | degree of a 0-cycle on a variety |
D.15.33.9 makeSheaf | | create a sheaf |
D.15.33.10 printSheaf | | print procedure for sheaves |
D.15.33.11 rankSheaf | | return the rank of a sheaf |
D.15.33.12 totalChernClass | | compute the total Chern class of a sheaf |
D.15.33.13 ChernClass | | compute the k-th Chern class of a sheaf |
D.15.33.14 topChernClass | | compute the top Chern class of a sheaf |
D.15.33.15 totalSegreClass | | compute the total Segre class of a sheaf |
D.15.33.16 dualSheaf | | make the dual of a sheaf |
D.15.33.17 tensorSheaf | | make the tensor of two sheaves |
D.15.33.18 symmetricPowerSheaf | | make the k-th symmetric power of a sheaf |
D.15.33.19 quotSheaf | | make the quotient of two sheaves |
D.15.33.20 addSheaf | | make the direct sum of two sheaves |
D.15.33.21 makeGraphVE | | create a graph from a list of vertices and a list of edges |
D.15.33.22 printGraphG | | print procedure for graphs |
D.15.33.23 moduliSpace | | create a moduli space of stable maps as an algebraic stack |
D.15.33.24 printStack | | print procedure for stacks |
D.15.33.25 dimStack | | compute the dimension of a stack |
D.15.33.26 fixedPoints | | compute the list of graphs corresponding the fixed point components of a torus action on the stack |
D.15.33.27 contributionBundle | | compute the contribution bundle on a stack at a graph |
D.15.33.28 normalBundle | | compute the normal bundle on a stack at a graph |
D.15.33.29 multipleCover | | compute the contribution of multiple covers of a smooth rational curve as a Gromov-Witten invariant |
D.15.33.30 linesHypersurface | | compute the number of lines on a general hypersurface |
D.15.33.31 rationalCurve | | compute the Gromov-Witten invariant corresponding the number of rational curves on a general Calabi-Yau threefold |
D.15.33.32 sumofquotients | | prepare a command for parallel computation |
D.15.33.33 homog_part | | compute a homogeneous component of a polynomial. |
D.15.33.34 homog_parts | | compute the sum of homogeneous components of a polynomial |
D.15.33.35 logg | | compute Chern characters from total Chern classes. |
D.15.33.36 expp | | compute total Chern classes from Chern characters |
D.15.33.37 SchubertClass | | compute the Schubert classes on a Grassmannian |
D.15.33.38 dualPartition | | compute the dual of a partition |