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Displaying 81 – 100 of 175

Les motifs de Tate et les opérateurs de périodicité de Connes

Abhishek Banerjee (2014)

Annales mathématiques Blaise Pascal

Dans cet article, nous définissons une catégorie ${\tilde{M o t}}_{C}$ des motifs sur une catégorie monoïdale symétrique $(C, \otimes, 1)$ vérifiant certaines hypothèses. Le rôle des espaces sur $(C, \otimes, 1)$ est joué par les monoïdes (non necessairement commutatifs) dans $C$ . Pour définir les morphismes dans ${\tilde{M o t}}_{C}$ , nous utilisons des classes dans les groupes d’homologie cyclique bivariante. Le but est de montrer que les opérateurs de périodicité de Connes induisent des morphismes $M \otimes 𝕋^{\otimes 2} ⟶ M$ dans ${\tilde{M o t}}_{C}$ , où $𝕋$ est le motif de Tate dans ${\tilde{M o t}}_{C}$ .

Lifting endomorphisms of formal $A$ -modules

Kevin Keating (1988)

Compositio Mathematica

Lifting Witt subgroups to characteristic zero.

Koch, Alan (1998)

The New York Journal of Mathematics [electronic only]

Multiplicative maps from Hℤ to a ring spectrum R-a naive version

Stanisław Betley (2012)

Fundamenta Mathematicae

The paper is devoted to the study of the space of multiplicative maps from the Eilenberg-MacLane spectrum Hℤ to an arbitrary ring spectrum R. We try to generalize the approach of Schwede [Geom. Topol. 8 (2004)], where the case of a very special R was studied. In particular we propose a definition of a formal group law in any ring spectrum, which might be of independent interest.

Néron models in the setting of formal and rigid geometry.

Siegfried Bosch, Klaus Schlöter (1995)

Mathematische Annalen

Newton polygons and formal groups: Conjectures by Manin and Grothendieck.

Oort, Frans (2000)

Annals of Mathematics. Second Series

On a Class of 2-Periodic Cohomology Theories.

Urs Würgler (1984)

Mathematische Annalen

On a Fermat Equation Arising in the Arithmetic Theory of Function Fields.

D. GOSS (1982)

Mathematische Annalen

On a variation of Mazur's deformation functor

Ravi Ramakrishna (1993)

Compositio Mathematica

On canonical and quasi-canonical liftings.

B.H. Gross (1986)

Inventiones mathematicae

On Drinfeld's universal formal group over the p-adic upper half plane.

Jeremy Teitelbaum (1989)

Mathematische Annalen

On formal groups obtained from symmetric powers

Minatsu Yamaji (1992)

Acta Arithmetica

On formal groups over complete discrete valuation rings with application to a theorem of Lutz.

Keiichi Oshikawa (1982)

Journal für die reine und angewandte Mathematik

On J1 (p) and the kernel of the Eisenstein ideal.

S. Kamienny (1990)

Journal für die reine und angewandte Mathematik

On non-basic Rapoport-Zink spaces

Elena Mantovan (2008)

Annales scientifiques de l'École Normale Supérieure

In this paper we study certain moduli spaces of Barsotti-Tate groups constructed by Rapoport and Zink as local analogues of Shimura varieties. More precisely, given an isogeny class of Barsotti-Tate groups with unramified additional structures, we investigate how the associated (non-basic) moduli spaces compare to the (basic) moduli spaces associated with its isoclinic constituents. This aspect of the geometry of the Rapoport-Zink spaces is closely related to Kottwitz’s prediction that their $l$ -adic...

On norm maps for one dimensional formal groups. II. ...-extensions of local fields with algebraically closed residue field.

Michiel Hazewinkel (1974)

Journal für die reine und angewandte Mathematik

On reduction of Hilbert-Blumenthal varieties

Chia-Fu Yu (2003)

Annales de l'Institut Fourier

Let $O_{𝐅}$ be the ring of integers of a totally real field $𝐅$ of degree $g$ . We study the reduction of the moduli space of separably polarized abelian $O_{𝐅}$ -varieties of dimension $g$ modulo $p$ for a fixed prime $p$ . The invariants and related conditions for the objects in the moduli space are discussed. We construct a scheme-theoretic stratification by $a$ -types on the Rapoport locus and study the relation with the slope stratification. In particular, we recover the main results of Goren and Oort [J. Alg. Geom.,...

On the Classification of Commutative Formal Group Laws over p-Hilbert Domains and a Finiteness Theorem for Higher Hasse-Witt Matrices.

E.J. Ditters (1989)

Mathematische Zeitschrift

On the Connected Part of the Covariant Tate p-divisible Group and the ?-function of the Family of Hyperelliptic Curves y2 = 1 + ? xN Modulo Various Primes.

Bert (E.J. Ditters, Simen J. Hoving (1988/1989)

Mathematische Zeitschrift

On the Converse of Abel's Theorem in Characteristic p.

John B. Little (1984)

Manuscripta mathematica

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