Coisotropic deformations of algebraic varieties are defined as those for which an ideal of the deformed variety is a Poisson ideal. It is shown that coisotropic deformations of sets of intersection points of plane quadrics, cubics and space algebraic curves are governed, in particular, by the dKP, WDVV, dVN, d2DTL equations and other integrable hydrodynamical type systems. Particular attention is paid to the study of two- and three-dimensional deformations of elliptic curves. The problem of an appropriate choice of the Poisson structure is discussed. © 2009 IOP Publishing Ltd.
Konopelchenko, B., & Ortenzi, G. (2009). Coisotropic deformations of algebraic varieties and integrable systems. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 42.
Citazione: | Konopelchenko, B., & Ortenzi, G. (2009). Coisotropic deformations of algebraic varieties and integrable systems. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 42. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | Coisotropic deformations of algebraic varieties and integrable systems |
Autori: | Konopelchenko, B; Ortenzi, G |
Autori: | ORTENZI, GIOVANNI (Corresponding) |
Data di pubblicazione: | 2009 |
Lingua: | English |
Rivista: | JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1751-8113/42/41/415207 |
Appare nelle tipologie: | 01 - Articolo su rivista |