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arXiv · 1703.03160

Rational curves and prolongations of G-structures

Jun-Muk Hwang
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Abstract

In a joint work with N. Mok in 1997, we proved that for an irreducible representation $G \subset {\bf GL}(V),$ if a holomorphic $G$-structure exists on a uniruled projective manifold, then the Lie algebra of $G$ has nonzero prolongation. We tried to generalize this to an arbitrary connected algebraic subgroup $G \subset {\bf GL}(V)$ and a complex manifold containing an immersed rational curve, but the proposed proof had a flaw.

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Jun-Muk Hwang. 2017-03-09. Rational curves and prolongations of G-structures. https://arxiv.org/abs/1703.03160

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