Full paper in PDF format:
$%J. Cordovez, L. Gatto, and T. Santiago, Newton binomial formulas
in Schubert calculus, Rev. Mat. Complut. 22 (2009), no. 1, 129–152.%$
Dipartimento di Matematica Politecnico di Torino C.so Duca degli Abruzzi 24 10129 (TO) — Italy cordovez@calvino.polito.it letterio.gatto@polito.it | Instituto de Matemática Universidade Federal da Bahia Av. Ademar de Barros s/n, Ondina Salvador (Bahia) 40170-110 (BA) — Brazi taisesantiago@ufba.br |
ABSTRACT
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.