Enriched Schubert Galois groups in the Grassmannian G(4,9)

Abraham Martín del Campo, Frank Sottile, and Robert Williams.
This page accompanies the article Classification of Schubert Galois groups in Gr(4,9),
organizing the results of both the computation of Frobenius elements and the classification of enriched Schubert problems in Section 3 of the paper.

The raw data from computing Frobenius elements is in the .html file Frobenius_Raw.html. These data helped to drive the classification in Section 3 of the paper Classification of Schubert Galois groups in Gr(4,9). They are sorted into 'families' of related Schubert problems in Sorted.html.

There were 154 enriched Schubert Problems found in G(4,9).

Five were not reduced, and are explained in the page Not_Reduced.html, coming from Schubert problems on G(4,8).
That they were considered was due to our Python code not sieving them out. One reduced to Derksen's problem on G(4,8),
and the other four to one of the families of enriched problems on G(4,8), which were fibrations of Type II.
Fibrations of Type I. This gives 120 enriched Schubert problems in G(4,9).
Fibrations of Type II. This gives 29 enriched Schubert problems in G(4,9).

Work of Sottile supported by the National Science Foundation under Grant DMS-1501370.

Last modified: Sun Feb 3 15:15:31 CST 2019