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- W2048633406 abstract "Let $K$ be a number field, $OK$ be its ring of integers. We introduce the notion of compactified representation of $GL_N(OK)$ and, we see how to associate to a hermitian vector bundle $E$ over $Spec(OK)$ and a compactified representation $T$, a hermitian tensor bundle $E_T$. We can prove then that there exists a lower bound for the heights of points $xinP(E_T)$ with $SL_N(K)$--semistable generic fibre in terms of the degree of $E$ and some universal constants depending only on the compactified representation. We give then three applications: a universal lower bound for general flag varieties, an application to the adjoint representation of $SL_N(K)$ and a construction of a height on the moduli space of semistable vector bundles over algebraic curves." @default.
- W2048633406 created "2016-06-24" @default.
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- W2048633406 date "1997-01-29" @default.
- W2048633406 modified "2023-09-27" @default.
- W2048633406 title "Heights and Geometric Invariant Theory" @default.
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