Infinitesimal Deformations and Brauer Group of Some Generalized Calabi--Eckmann Manifolds
Infinitesimal Deformations and Brauer Group of Some Generalized Calabi--Eckmann Manifolds
Let $X$ be a compact connected Riemann surface. Let $\xi_1: E_1\longrightarrow X$ and $\xi_2: E_2\,\longrightarrow X$ be holomorphic vector bundles of rank at least two. Given these together with a $\lambda \in {\mathbb C}$ with positive imaginary part, we construct a holomorphic fiber bundle $S^{\xi_1,\xi_2}_{\lambda}$ over $X$ whose fibers are …