By a remarkable result by WL Chow,[Cho49, Theorem V], see also [Ser56], projective
manifolds (that is, compact complex submanifolds of CPn WD CnC1 n f0g ı. C n f0g/, for n 2 …

We survey recent developments which led to the proof of the Benson-Gordon conjecture on
Kähler quotients of solvable Lie groups. In addition, we prove that the Albanese morphism of …

Kahler Solvmanifolds Page 1 IMRN International Mathematics Research Notices 2004, No. 3
Kahler Solvmanifolds Donu Arapura In this paper, we use the term solvmanifold in a somewhat …

We give some explicit examples of compact Kählerian solvmanifolds and, by extending them
naturally, we find a class of compact Kählerian solvmanifolds; namely, a finite quotient of a …

This work is devoted to the Marsden--Weinstein reduction problem for Kaehlerian metrics
34. We focus the attention on Kaehlerian manifolds (M,ω,J) whose underlying symplectic …

In this paper we discuss relations between symplectic forms and smooth structures on
closed manifolds. Our main motivation is the problem if there exist symplectic structures on …

In this preliminary chapter, we summarize some basic notions and some classical results in
(almost-) complex and symplectic geometry. In particular, we start by setting some definitions …