Work

Ranks of 1-motives as dimensions of Ext1 vector spaces

Year: 2024

Type: article

Abstract: In this paper, we reformulate the ranks that appear in the dimension formula for the linear space of periods of a [Formula: see text]-motive established by Huber and Wüstholz in a more conceptual and categorical way, as dimensions of Ext1 vector spaces. This constitutes the first step towards rewriting the dimension formula purely in general categorical terms, rather than through definitions and computations introduced ad hoc for [Formula: see text]-motives.

Source: International Journal of Number Theory

DOI: 10.1142/s1793042125500551

Author: Nicola Nesa

Institution: University of Freiburg

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Albert-Ludwigs-Universität Freiburg

Award: G7048150774