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搜索结果: 1-11 共查到理学 algebraic K-theory相关记录11条 . 查询时间(0.119 秒)
We first consider the basic theory of algebraic curves, including the compact Riemann surface, Riemann-Hurwitz formula, Baker-Akhiezer function, three kinds of Abelian differentials, the construction ...
THE EXTENDED BLOCH GROUP AND ALGEBRAIC KTHEORY     BLOCH GROUP  ALGEBRAIC K–THEORY       font style='font-size:12px;'> 2015/12/17
We define an extended Bloch group for an arbitrary field F, and show that this group is naturally isomorphic to Kind 3 (F) if F is a number field. This gives an explicit descript...
Quillen’s higher algebraic K-theory for fields F has been the object of intense study since their introduction in 1972 [26]. The main direction of research has been the construction of “descen...
his is a relative result which asserts that the K-theory spectra of any two algebraically closed fields of a given characteristic are equivalent to each other after completion at a prime not e...
We show that, for a complete simplicial toric variety $X$, we can determine its homotopy $\K$-theory (denoted $\KH$-theory) entirely in terms of the torus pieces of open sets forming an open cover of ...
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
Topics in Algebraic Deformation Theory     Topics  Algebraic Deformation Theory       font style='font-size:12px;'> 2010/11/11
We give a selective survey of topics in algebraic deformation theory ranging from its inception to current times. Throughout, the numerous contributions of Murray Gerstenhaber are emphasized, especia...
On the Algebraic K-theory of Monoids      Algebraic K-theory  Monoids        font style='font-size:12px;'> 2010/12/8
Let A be a not necessarily commutative monoid with zero such that projective A-acts are free. This paper shows that the algebraic K-groups of A can be defined using the +-construction and the Q-constr...
Deloopings in Algebraic K-theory     Deloopings  Algebraic K-theory       font style='font-size:12px;'> 2015/7/7
A crucial observation in Quillen’s definition of higher algebraic K-theory was that the right way to proceed is to define the higer K-groups as the homotopy groups of a space ([21]). Qui...
Multiplicative Unitaries are described in terms of a pair of commuting shifts of relative depth two. They can be generated from ambidextrous Hilbert spaces in a tensor C*-category. The algebraic anal...
Cahit Arf's Contribution to Algebraic number Theory and Related Fields。

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