Search results for: Manfred Kolster

Items from 1 to 6 out of 6 results

chapter

On injective stability for K₂

Manfred Kolster

Lecture Notes in Mathematics > Algebraic K-Theory > 128-168

chapter

Even dimensional projective surgery groups of finite groups

Manfred Kolster

Lecture Notes in Mathematics > Algebraic K-Theory > 239-279

article

The analogue of the Gauss class number problem in motivic cohomology

Caroline Junkins, Manfred Kolster

Annales mathématiques du Québec > 2013 > 37 > 1 > 79-108

The classical Gauss problem of determining all imaginary quadratic number fields of class number one has an analogue involving finite motivic cohomology groups attached to the ring of integers $$o_F$$ o F in a totally real number field $$F$$ F . In the classical situation, the value of the zeta function of $$F$$ F at $$0$$ 0 can be written as a quotient...

article

Higher relative class number formulae

Manfred Kolster

Mathematische Annalen > 2002 > 323 > 4 > 667-692

Abstract. Let E be a totally complex abelian number field with maximal real subfield F, and let $\chi$ denote the non-trivial character of $Gal (E/F)$ . Similar to the classical case n=1 the value of the Artin L-function $L(E/F,\chi,1-n)$ at $1-n$ for odd $n \geq 3$ is given by a relative class number formula of the form $L(E/F,\chi,1-n) = \pm \frac{2^{r_1+1}}{Q_n} \cdot \frac{h_n^{ -}}{w_n(E)}.$ Here $r_1 = [F:{\Bbb Q}], w_n(E) = |H^0(E,{\Bbb Q}/{\Bbb Z}(n))|, Q_n$ ...

article

On higher class groups of orders

Manfred Kolster, Reinhard C. Laubenbacher

Mathematische Zeitschrift > 1998 > 228 > 2 > 229-246

article

Syntomic regulators and special values of p-adic L-functions

Manfred Kolster, Thong Nguyen Quang Do

Inventiones mathematicae > 1998 > 133 > 2 > 417-447

Abstract. In this paper p-adic analogs of the Lichtenbaum Conjectures are proven for abelian number fields F and odd prime numbers p, which generalize Leopoldts p-adic class number formula, and express special values of p-adic L-functions in terms of orders of K-groups and higher p-adic regulators. The approach uses syntomic regulator maps, which are the p-adic equivalent of the Beilinson regulator...

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Keywords

19F27. (1)
ALGEBRAIC $$K$$ K -THEORY (1)
GAUSS PROBLEM (1)
IWASAWA THEORY (1)
MATHEMATICS SUBJECT CLASSIFICATION (1991): 19D50 (1)
MATHEMATICS SUBJECT CLASSIFICATION (2000): 11R42 11R23 11R70 (1)
MOTIVIC COHOMOLOGY (1)
SPECIAL VALUES OF ZETA-FUNCTIONS (1)

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Search results for: Manfred Kolster

On injective stability for K₂

Even dimensional projective surgery groups of finite groups

The analogue of the Gauss class number problem in motivic cohomology

Higher relative class number formulae

On higher class groups of orders

Syntomic regulators and special values of p-adic L-functions

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Publication type

Keywords

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INFONA - science communication portal

Search results for: Manfred Kolster

On injective stability for K2

Even dimensional projective surgery groups of finite groups

The analogue of the Gauss class number problem in motivic cohomology

Higher relative class number formulae

On higher class groups of orders

Syntomic regulators and special values of p-adic L-functions

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On injective stability for K₂