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Twistor spaces with a pencil of fundamental divisors
(Documenta Mathematica, 1999)
In this paper simply connected twistor spaces Z containing a pencil of fundamental divisors are studied. The Riemannian base for such spaces is diffeomorphic to the connected sum nCP2 . We obtain for n 5 a complete ...
Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes
(American Mathematical Society, 1999)
We prove the existence of twistor spaces of algebraic dimension
two over the connected sum of four complex projective planes 4CP2. These are
the rst examples of twistor spaces of algebraic dimension two over a ...
Moishezon twistor spaces without effective divisors of degree one (pre-published version)
(Universität Kaiserslautern, 1995)
We study simply connected compact twistor spaces Z of positive type. Assuming that the fundamental linear system j \Gamma 1 2 Kj is at least a pencil, we prove the following theorem: the existence of an irreducible curve ...
Generalized vector bundles on curves (Pre-published version)
(de Gruyter, 1998)
In their paper [14] G. Harder and M.S. Narasimhan (and independently D. Quillen) have constructed a canonical flag of subbundles on any vector bundle on a complete smooth algebraic curve over a field. This flag measures ...