Picard groups and class groups of monoid schemes

DOI10.1016/j.jalgebra.2014.06.002zbMath1314.14003arXiv1306.4928OpenAlexW2079735053MaRDI QIDQ404188

J. Herrera, H. S. Yoon

Publication date: 4 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4928

zbMATH Keywords

Picard groupclass groupmonoidmonoid schememultiplicative ideal theory

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative semigroups (20M14) Finite ground fields in algebraic geometry (14G15) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) Schemes and morphisms (14A15) Algebraic monoids (20M32)

Related Items (14)

Group completion in the \(K\)-theory and Grothendieck-Witt theory of proto-exact categories ⋮ Algebraic \(K\)-theory and Grothendieck-Witt theory of monoid schemes ⋮ Čech cohomology of semiring schemes ⋮ Prime and primary ideals in semirings. ⋮ Vector bundles on tropical schemes ⋮ Closure operations, continuous valuations on monoids and spectral spaces ⋮ Local Picard group of pointed monoids and their algebras ⋮ Quasicoherent sheaves on projective schemes over \(\mathbb{F}_1\) ⋮ \(G \)-theory of \(\mathbb F_1\)-algebras I: the equivariant Nishida problem ⋮ The $K’$–theory of monoid sets ⋮ On Noetherian schemes over (\mathcal{C},\otimes,1)$ and the category of quasi-coherent sheaves ⋮ Picard groups for tropical toric schemes ⋮ Localization, monoid sets and \(K\)-theory ⋮ On cohomology and vector bundles over monoid schemes

Cites Work

• On the Hall algebra of coherent sheaves on \(\mathbb P^1\) over \(\mathbb F^1\)
• Deitmar's versus Toën-Vaquié's schemes over \({\mathbb{F}_{1}}\)
• Vector bundles over projective spaces. The case \({\mathbb F_1}\)
• Sheaves and \(K\)-theory for \(\mathbb F_1\)-schemes
• Algebraic \(K\)-theory of nonlinear projective spaces
• The K -theory of toric varieties in positive characteristic
• Introduction to Toric Varieties. (AM-131)
• 𝐾-theory of cones of smooth varieties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Picard groups and class groups of monoid schemes