Height and GIT weight

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Height and Git Weight

In this note, we first establish a connection between the weight in the geometric invariant theory and the height introduced by Cornalba and Harris [CH] and Zhang [Z]. Then we give two applications. First, it provides a converse of Cornalba and Harris’s result, which can be treated as a function field analogue of Zhang’s theorem over number field. In particular, this connection gives a numerica...

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ژورنال

عنوان ژورنال: Mathematical Research Letters

سال: 2012

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.2012.v19.n4.a14