Arakelov Theory on Arithmetic Surfaces Over a Trivially Valued Field

نویسندگان

چکیده

Abstract In this article, we consider an analogue of Arakelov theory arithmetic surfaces over a trivially valued field. particular, establish Hilbert–Samuel theorem and study the effectivity up to $\mathbb R$-linear equivalence pseudoeffective metrised R$-divisors.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2022

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab302