The coordinate biring of <tex>$Spec(Z)/F_{1}$</tex>The coordinate biring of <tex>$Spec(Z)/F_{1}$</tex>
Faculty of Sciences. Mathematics and Computer Science

Fundamental Mathematics

article

2015 2015

Mathematics

eprint-archive math.RA

(2015), p. 1-10

1

E-only publicatie

English (eng)

University of Antwerp

We propose to define F1-algebras as integral bi-rings with the co-ring structure being the descent data from Z to F1. The coordinate bi-ring of Spec(Z)/F1 is then the co-ring of integral linear recursive sequences equipped with the Hadamard product. We associate a noncommutative moduli space to this setting, show that it is defined over F1, and has motive ∏n≥0s−n2π.

https://repository.uantwerpen.be/docman/iruaauth/c3578e/f019222b6c3.pdf