Vector bundles over projective spaces. The case \({\mathbb F_1}\)

DOI10.1007/s00013-011-0225-6zbMath1220.14009OpenAlexW2033066766MaRDI QIDQ535127

Hans-Christian Graf von Bothmer, Ulrich Stuhler, Laura Hinsch

Publication date: 11 May 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0225-6

zbMATH Keywords

vector bundlesprojective spacesfields with one element

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items (7)

Algebraic \(K\)-theory and Grothendieck-Witt theory of monoid schemes ⋮ Picard groups and class groups of monoid schemes ⋮ Vector bundles on tropical schemes ⋮ A family of measures on symmetric groups and the field with one element ⋮ The topological shadow of \(\mathbb{F}_1\)-geometry: congruence spaces ⋮ Hall Lie algebras of toric monoid schemes ⋮ On cohomology and vector bundles over monoid schemes

Cites Work

• Algebraic groups over the field with one element
• Fun with \(\mathbb F_1\)
• On the notion of geometry over 𝔽₁
• New Approach to Arakelov Geometry

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