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.
Coisotropic deformations of algebraic varieties and integrable systems
Ortenzi, G
2009-01-01
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
KO09-Coisodefvariety.pdf
Accesso riservato
Tipo di file:
PDF EDITORIALE
Dimensione
225.36 kB
Formato
Adobe PDF
|
225.36 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.