Rational curves on Grassmannians: systems theory, reality, and transversality

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We discuss a particular problem of enumerating rational curves on a Grassmannian from several perspectives, including systems theory, real enumerative geometry, and symbolic computation. We also present a new transversality result, showing this problem is enumerative in all characteristics. While it is well-known how this enumerative problem arose in mathematical physics and also its importance to the development of quantum cohomology, it is less known how it arose independently in mathematical systems theory. We describe this second story.
33 pages, 1 .eps figure. To Appear in "Advances in Algebraic Geometry Motivated by Physics", ed. by Emma Previato

Keywords

Algebraic Geometry, Commutative Algebra, Optimization and Control, 13P10, 14-02, 14M15, 14N15, 14N35, 14P99, 65H20, 93B55

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/60546

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012079
 http://arxiv.org/abs/math/0012079
 "Advances in Algebraic Geometry Motivated by Physics", edited by E. Previato, Contemp. Math., 276, AMS, 2001. 9-42

Collections

arXiv