Algebraic $$K\!$$-theory and Grothendieck–Witt theory of monoid schemes
نویسندگان
چکیده
Abstract We study the algebraic $$K\!$$ K -theory and Grothendieck–Witt theory of proto-exact categories vector bundles over monoid schemes. Our main results are complete description space an integral scheme X in terms its Picard group $${{\,\mathrm{Pic}\,}}(X)$$ Pic ( X ) pointed regular functions $$\Gamma (X, {\mathcal {O}}_X)$$ ? , O a additional involution on . also prove space-level projective bundle formulae both settings.
منابع مشابه
Algebraic K-theory of Monoid Rings
Are all finitely generated projective k[t1, . . . , td]-modules free for an arbitrary field k and arbitrary d ∈ N? This question, set in Serre’s famous paper FAC in 1955, inspired an enormous activity of algebraists worldwide. The activity culminated in two independent confirmations of the question in 1976 by Quillen and Suslin. In the meanwhile the algebraic K-theory was created, in which one ...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2022
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-021-02919-z