This web page contains explicit linear algebra computations referenced in the papers "The uniformization of the moduli space of prinicpally polarized abelian 6-folds" and "Hodge classes on the moduli space of W(E6)-covers and the geometry of A6" by Valery Alexeev, Ron Donagi, Gavril Farkas, Elham Izadi, and Angela Ortega.

Algebra Computations

Mathematica programs for computing the monodromy matrix for degenerations of Prym-Tyurin varieties

• Checking a particular set of 12 roots: a6.nb
• The first 6 roots are fixed, the next 6 roots are chosen randomly: a6a.nb (slow)
• All 12 roots are chosen randomly: a6b.nb (even slower)

Mathematica program for checking that h⁰(2K_C-5L)=0 on a particular degeneration

• 2K-5L.nb

Programs for checking the properties of Petri map

• Sage: petri-py3.sage
• Mathematica: petrimap.nb

Sage program for computing ranks of vector bundles E_i and lambda_i in Table 1 of the "Hodge classes..." paper.

• hodge-classes-py3.sage