Algebraic K-theory of generalized schemes
Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
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Algebraic K-theory of generalized schemes. / Anevski, Stella Victoria Desiree.
Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2013. 56 s.Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning
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TY - BOOK
T1 - Algebraic K-theory of generalized schemes
AU - Anevski, Stella Victoria Desiree
PY - 2013
Y1 - 2013
N2 - Nikolai Durov has developed a generalization of conventional scheme theory in which commutative algebraic monads replace commutative unital rings as the basic algebraic objects. The resulting geometry is expressive enough to encompass conventional scheme theory, tropical algebraic geometry and geometry over the field with one element. It also permits the construction of important Arakelov theoretical objects, such as the completion \Spec Z of Spec Z. In this thesis, we prove a projective bundle theorem for the eld with one element and compute the Chow rings of the generalized schemes Sp\ec ZN, appearing in the construction of \Spec Z.
AB - Nikolai Durov has developed a generalization of conventional scheme theory in which commutative algebraic monads replace commutative unital rings as the basic algebraic objects. The resulting geometry is expressive enough to encompass conventional scheme theory, tropical algebraic geometry and geometry over the field with one element. It also permits the construction of important Arakelov theoretical objects, such as the completion \Spec Z of Spec Z. In this thesis, we prove a projective bundle theorem for the eld with one element and compute the Chow rings of the generalized schemes Sp\ec ZN, appearing in the construction of \Spec Z.
UR - https://soeg.kb.dk/permalink/45KBDK_KGL/1pioq0f/alma99122983824505763
M3 - Ph.D. thesis
BT - Algebraic K-theory of generalized schemes
PB - Department of Mathematical Sciences, Faculty of Science, University of Copenhagen
ER -
ID: 92058318