Martin Schlichenmaier 
Degenerations of generalized Krichever Novikov algebras on tori
(55K, amstex)

ABSTRACT.  Degenerations of Lie algebras of meromorphic vector fields
on elliptic curves (i.e. complex tori) which are holomorphic
outside a certain set of points (markings) are studied.
By an algebraic geometric degeneration process certain subalgebras of
Lie algebras of meromorphic vector fields on P^1 the Riemann sphere
are obtained. In case of some natural choices of the markings
these subalgebras are explicitly determined. It is shown that
the number of markings can change.