Degenerations of Prym-Tyurin-Kanev varieties

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.

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