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arXiv · 1507.02630

Positivity of GIT heights of zero-cycles and hyperplane arrangements

Ashwath Rabindranath·William F. Sawin
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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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Ashwath Rabindranath, William F. Sawin. 2015-07-09. Positivity of GIT heights of zero-cycles and hyperplane arrangements. https://arxiv.org/abs/1507.02630

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