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On the algebraic holonomy of stable principal bundles | | Indranil Biswas
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5 Mar 2007 | | Subject: | Algebraic Geometry | | Abstract: | Apart from math.AG/0608569, it contains the following applications of it. Let M be a simply connected, irreducible smooth complex projective variety of dimension $n$ such that the Picard number of $M$ is one. If the canonical line bundle $K_M$ is ample, then the algebraic holonomy of $TM$ is $ ext{GL}(n, {mathbb C})$. If $K^{-1}_M$ is ample, $ ext{rank}( ext{NS}(M)) = 1$, the biholomorphic automorphism group of $M$ is finite, and $M$ admits a K"ahler--Einstein metric, then the algebraic holonomy of $TM$ is ${
m GL}(n, {mathbb C})$. | | Source: | arXiv, math/0703104 | | Services: | Forum | Review | PDF | Favorites | |
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