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 [10.1088/1751-8113/42/41/415207].

Coisotropic deformations of algebraic varieties and integrable systems

Ortenzi, G
2009

Abstract

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.
Articolo in rivista - Articolo scientifico
Integrable systems; deformation of algebraic varieties
English
Konopelchenko, B., Ortenzi, G. (2009). Coisotropic deformations of algebraic varieties and integrable systems. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 42 [10.1088/1751-8113/42/41/415207].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/9699
Citazioni
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 9
Social impact