Seminario di algebra e geometria, interdisciplinare, logica
ore
11:00
presso Seminario II
Let d be a finite tuple of commuting derivations on a field K.
A classical result allows us to associate a numerical polynomial to d (the Kolchin polynomial), measuring the "growth rate" of d.
We show that we can abstract from the setting of fields with derivations, and consider instead a matroid with a tuple d of commuting (quasi)-endomorphisms.
In this setting too there exists a polynomial measuring the growth rate of d.
Joint work with E. Kaplan