Non-Moishezon twistor spaces of $4{\mathbf {CP}}^2$ with non-trivial automorphism group

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28) Complex Lie groups, group actions on complex spaces (32M05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
The class ${\mathcal C}$ is not stable by small deformations
On the algebraic structure of twistor spaces
Compact self-dual manifolds with positive scalar curvature
On the algebraic dimension of twistor spaces over the connected sum of four complex projective planes
Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
A conic bundle description of Moishezon twistor spaces without effective divisors of degree one
Twistor spaces with a pencil of fundamental divisors
A Kummer-type construction of self-dual 4-manifolds
Equivariant connected sums of compact self-dual manifolds
A Kummer type construction of self-dual metrics on the connected sum of four complex projective planes
Donaldson-Friedman construction and deformations of a triple of compact complex spaces
Explicit self-dual metrics on ${\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2$
Vector Bundles Over an Elliptic Curve
Hermitian Surfaces and a Twistor Space of Algebraic Dimension 2
Connected sums of self-dual manifolds and deformations of singular spaces
Kählerian Twistor Spaces
Circle Actions on Simply Connected 4-Manifolds
Self-duality in four-dimensional Riemannian geometry
Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes
Self-Duality and Differentiable Structures on the Connected Sum of Complex Projective Planes
Donaldson–Friedman construction and deformations of a triple of compact complex spaces, II
Equivariant deformations of meromorphic actions on compact complex manifolds