To all, I've created a sage file to calculate, among other things, the Hodge numbers of an arbitrary complete intersection. Attached is the .sage file. I also attempted to create a .spkg file, but it does not seem to work. Mine contains simply a .py file that the install script puts it $SAGE_ROOT/local/bin. But, I cannot seem to use it from within sage. Any help on that front would be appreciated. On the other hand, loading the .sage file works fine.
The file itself is well-documented. I would love suggestions for further methods to add. For instance, at some point I will add the ability to compute the degrees of the top Chern classes of a threefold. I don't see putting this in sage at the moment, but it does lead to the question: should there be a CompleteIntersection class, which would inherit from AlgebraicScheme_subscheme_projective. If so, then I could put this code in that class in the characteristic zero case. Ben Antieau Example: The Hodge numbers of a crazy fourfold. The list of integers is the list of degrees of the complete intersection. sage: hodge_numbers_ci([2,4,6,3,6,4,3,2,9,5],4) [ 1 0 0 0 2658146543] [ 0 1 0 22238665343 0] [ 0 0 42452753184 0 0] [ 0 22238665343 0 1 0] [ 2658146543 0 0 0 1] The file provides the following functions: chiy_characteristic_ci(degrees,index,yprecision,zprecision) hodge_numbers_ci(degrees,dimension) betti_numbers_ci(degrees,dimension) euler_characteristic_ci(degrees,dimension) topological_euler_characteristic_ci(degrees,dimension) arithmetic_genus_ci(degrees,dimension) geometric_genus_ci(degrees,dimension) [==arithmetic_genus_ci] K_squared_surface_ci(degrees,dimension) [computes the degree of K^2 of a complete intersection surface] c2_surface_ci(degrees,dimension) [computes the degree of the second Chern class of a complete intersection surface] --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://sage.scipy.org/sage/ and http://modular.math.washington.edu/sage/ -~----------~----~----~----~------~----~------~--~---
hodge_numbers_ci.sage
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hodge_numbers_ci-0.1.spkg
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