On the Hall algebra of coherent sheaves on \(\mathbb P^1\) over \(\mathbb F^1\)

DOI10.1016/j.jpaa.2011.08.001zbMath1279.14022arXiv1009.3570OpenAlexW2964259105MaRDI QIDQ418921

Matthew Szczesny

Publication date: 30 May 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3570

zbMATH Keywords

Hall algebramonoid schemecoherent sheave

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (10)

On the Hall algebra of semigroup representations over \(\mathbb F_1\). ⋮ The Hopf algebra of skew shapes, torsion sheaves on \(\mathbb{A}_{/ \mathbb{F}_1}^n\), and ideals in Hall algebras of monoid representations ⋮ Picard groups and class groups of monoid schemes ⋮ Proto-exact categories of matroids, Hall algebras, and \(K\)-theory ⋮ On quiver representations over \(\mathbb{F}_1\) ⋮ The topological shadow of \(\mathbb{F}_1\)-geometry: congruence spaces ⋮ Hall Lie algebras of toric monoid schemes ⋮ Degenerate versions of Green's theorem for Hall modules ⋮ Quasicoherent sheaves on projective schemes over \(\mathbb{F}_1\) ⋮ The $K’$–theory of monoid sets

Cites Work

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• The Hall algebra of the category of coherent sheaves on the projective line
• Representations of Quivers Over F1 and Hall Algebras
• On the notion of geometry over 𝔽₁
• Schemes over 𝔽₁and zeta functions
• New Approach to Arakelov Geometry
• Toric Singularities
• Au-dessous de Specℤ
• Schemes over $$ \mathbb{F}_1 $$

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