Generalized Intermediate Jacobians and the Theorem on Normal Functions.
Geometry and cohomology of certain domains in the complex projective space.
Geometry of some twistor spaces of algebraic dimension one
It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface. The former kind of twistor spaces are constructed over nCP2 for any n ≥ 5, while the latter kind of example is constructed over 5CP2. Both of these seem to be the first such example on nCP2. The algebraic reduction in these examples is induced by...
Geometry of the Kepler system in coherent states approach
Geometry of twisting cochains
Geometry of universal embedding spaces for almost complex manifolds
We investigate the geometry of universal embedding spaces for compact almost-complex manifolds of a given dimension, and related constructions that allow for an extrinsic study of the integrability of almost-complex structures. These embedding spaces were introduced by J-P. Demailly and H. Gaussier, and are complex algebraic analogues of twistor spaces. Their goal was to study a conjecture made by F. Bogomolov asserting the “transverse embeddability” of arbitrary compact complex manifolds into foliated...
Groupes de cohomologie d'un fibré holomorphe à base et à fibre de Stein.