Positivity of GIT heights of zero-cycles and hyperplane arrangements
classification
🧮 math.NT
math.AG
keywords
arrangementsfunctionheighthyperplanetheoryzero-cycleszhangalgebraic
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.