Full paper in PDF format:
$%J. Cordovez, L. Gatto, and T. Santiago, Newton binomial formulas in Schubert calculus, Rev. Mat. Complut. 22 (2009), no. 1, 129–152.%$

Newton Binomial Formulas in Schubert Calculus
Jorge CORDOVEZ, Letterio GATTO,
and Taíse SANTIAGO
Dipartimento di Matematica
Politecnico di Torino
C.so Duca degli Abruzzi 24
10129 (TO) — Italy


Instituto de Matemática
Universidade Federal da Bahia
Av. Ademar de Barros s/n, Ondina
Salvador (Bahia) 40170-110 (BA) — Brazi


Received: November 15, 2007
Accepted: June 2, 2008
To Israel Vainsencher on the occasion of his 60th birthday


We prove Newton’s binomial formulas for Schubert Calculus to determine numbers of base point free linear series on the projective line with prescribed ramification divisor supported at given distinct points.

Key words: Schubert Calculus on a Grassmann algebra, Newton’s binomial formulas in Schubert calculus, enumerative geometry of linear series on the projective line.
2000 Mathematics Subject Classification:
14M15, 14N15, 15A75.