Title The coordinate biring of $Spec(Z)/F_{1}$ The coordinate biring of $Spec(Z)/F_{1}$ Author Le Bruyn, Lieven Faculty/Department Faculty of Sciences. Mathematics and Computer Science Publication type article Publication 2015 2015 Subject Mathematics Source (journal) eprint-archive math.RA Volume/pages (2015) , p. 1-10 Carrier E-only publicatie Target language English (eng) Affiliation University of Antwerp Abstract 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. E-info https://repository.uantwerpen.be/docman/iruaauth/c3578e/f019222b6c3.pdf Handle