On the infinitesimal automorphisms of principal bundles

30 Oct 2017 Pantilie Radu

We review some basic facts on vector fields, in the complex-analytic setting, thus, obtaining a rationality result and an extension of the Birkhoff-Grothendieck theorem, as follows: (1) Let $Z$ be a compact complex manifold endowed with a very ample line bundle $L$. Denote by $\mathfrak{g}_L$ the extended Lie algebra of infinitesimal automorphisms of $L$... (read more)

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  • DIFFERENTIAL GEOMETRY
  • ALGEBRAIC GEOMETRY