3 papers
nlin.SI2000
Abelian solitons
Ron Y. Donagi, Emma Previato
We describe a new algebraically completely integrable system, whose integral manifolds are co-elliptic subvarieties of Jacobian varieties. This is a multi-periodic extension of the…
math.RA1999
Commutative Partial Differential Operators
Alex Kasman, Emma Previato
In one variable, there exists a satisfactory classification of commutative rings of differential operators. In several variables, even the simplest generalizations seem to be unkno…
math.AG1998
Singularities of 2theta-divisors in the Jacobian
Christian Pauly, Emma Previato
We study several subseries of the space of second order theta functions on the Jacobian of a non-hyperelliptic curve. In particular, we are interested in the subseries PΓ_{00} cons…