Arakelov Theory on Arithmetic Surfaces Over a Trivially Valued Field.

Autor: Chen, Huayi, Moriwaki, Atsushi
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Zdroj: IMRN: International Mathematics Research Notices; 3/20/2023, Vol. 2023 Issue 7, p5473-5537, 65p
Abstrakt: In this article, we consider an analogue of Arakelov theory of arithmetic surfaces over a trivially valued field. In particular, we establish an arithmetic Hilbert–Samuel theorem and study the effectivity up to |$\mathbb R$| -linear equivalence of pseudoeffective metrised |$\mathbb R$| -divisors. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index