Positivity of GIT heights of zero-cycles and hyperplane arrangements
Number Theory
2015-07-10 v1 Algebraic Geometry
Abstract
In 1996 as part of the development of arithmetic intersection theory and Arakelov theory, Zhang defined a "GIT height function" for semi-stable algebraic cycles in projective space. In the same work, Zhang conjectured that this height function was positive. We prove this conjecture for zero-cycles and hyperplane arrangements.
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Cite
@article{arxiv.1507.02630,
title = {Positivity of GIT heights of zero-cycles and hyperplane arrangements},
author = {Ashwath Rabindranath and William F. Sawin},
journal= {arXiv preprint arXiv:1507.02630},
year = {2015}
}
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9 pages