Calabi-Yau spaces are complex spaces with a vanishing first Chern class, or equivalently,
with trivial canonical bundle (canonical class). They are used to construct possibly realistic …

A mapping class group of an oriented manifold is a quotient of its diffeomorphism group by
the isotopies. We compute a mapping class group of a hyperkähler manifold M, showing that …

(0.0) In the study of higher-dimensional varieties we often face such questions: Let f: M--* S
be a fiber space. Suppose that S and a general fiber of f enjoy such and such properties …

In this paper it is proved that simply-connected Kähler manifolds with K= 0 may be
decomposed into a product M n= A s× K 3 m 1×...× K 3 mk, where h 2, 0 (A s)= 0, h 2, 0 (K 3 …

We study the class of compact complex manifolds whose first Chern class vanishes in the
Bott-Chern cohomology. This class includes all manifolds with torsion canonical bundle, but …

The classical Beauville-Bogomolov Decomposition Theorem asserts that any compact
Kähler manifold with numerically trivial canonical bundle admits an étale cover that …

The study of higher dimensional hyperkähler manifolds has attracted much attention: we
have [Wk],[Bg1, 2, 3, 4],[Fj1, 2],[Bv1],[Vb1, 2],[Sl1, 2],[HS],[Huy],[Gu3, 4, 5] etc. It is evident that …

CLASSIFICATION OF SURFACES OF CLASS VII0 WITH b2 = 0 Page 1 Mathematics of the
USSR-Izvestiya CLASSIFICATION OF SURFACES OF CLASS VII0 WITH b2 = 0 To cite this …

Compact Kâhler manifolds with semipositive Ricci curvature have been in-vestigated by
various authors. S. Kobayashi [Ko61] first proved the simple connectedness of Fano …

On the Structure of Compact Complex Manifolds in '6' Page 1 A,dvanced Studies in Pure
Mathematics 1, 1983 Algebraic Varieties and Analytic Varieties . pp. 231-302 On the Structure …