Abstract
Let be a subvariety of dimension , and let be the normalized arithmetic Hilbert function of introduced by Philippon and Sombra. We show that this function admits the asymptotic expansion
where is the normalized height of . This gives a positive answer to a question raised by Philippon and Sombra.
Citation
Mounir Hajli. "On the normalized arithmetic Hilbert function." Algebra Number Theory 9 (10) 2293 - 2302, 2015. https://doi.org/10.2140/ant.2015.9.2293
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