2019/08/15 by Holger Brenner, Brenner, Holger, Ilia Pirashvili +1
Mathematics · #13F55 #14F35 #14T99 #20M14 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1908.05538
openalex publication_date 2019/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Binoid schemes generalise monoid schemes, which in turn enable us to generalise toric varieties. Let X be a binoid scheme. The aim of this paper is to calculate the topological fundamental group of KX, where K=ℂ or ℝ. For the latter, we will give an explicit way of calculating the fundamental group using methods from 2-category theory. Indeed, we will calculate the more general fundamental groupoid. As a specialisation, we will also look at the Stanley Reisner Rings. Our method simplifies in this case, allowing us to describe the fundamental groupoid in terms of the simplicial complex directly.