搜索结果: 1-11 共查到“数学 Algebraic K-theory”相关记录11条 . 查询时间(0.23 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Application of algebraic curve theory to integrable systems
代数曲线理论 可积系统 紧黎曼曲面
font style='font-size:12px;'>
2023/5/5
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 K–THEORY
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...
Derived Representation Theory and the Algebraic K-theory of Fields
Algebraic K-theory of Fields Derived Representation Theory
font style='font-size:12px;'>
2015/7/7
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...
Structured Stable Homotopy Theory and the Descent Problem for the Algebraic K-theory of Fields
Structured Stable Homotopy Theory Algebraic K-theory
font style='font-size:12px;'>
2015/7/7
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...
The KH-Theory of Complete Simplicial Toric Varieties and the Algebraic K-Theory of Weighted Projective Spaces
Toric Varieties Algebraic K-Theory Weighted Projective Spaces K-regularity
font style='font-size:12px;'>
2012/7/11
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 ...
On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
font style='font-size:12px;'>
2012/6/14
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...
An Algebraic Duality Theory for Multiplicative Unitaries
Algebraic Duality Theory Multiplicative Unitaries
font style='font-size:12px;'>
2010/10/29
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
Algebraic number Cahit Arf's Related Fields
font style='font-size:12px;'>
2010/3/4
Cahit Arf's Contribution to Algebraic number Theory and Related Fields。