A. L. Smirnov, “Orientations and transfers in cohomology of algebraic varieties”, Algebra i Analiz, 18:2 (2006), 167–224; St. Petersburg Math. J., 18:2 (2007), 305

Algebra i Analiz

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Algebra i Analiz:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Algebra i Analiz, 2006, Volume 18, Issue 2, Pages 167–224 (Mi aa71)

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

Orientations and transfers in cohomology of algebraic varieties

A. L. Smirnov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Full-text PDF (544 kB) Citations (10)

References:

PDF

HTML

Abstract: Algebro-geometric cohomology theories are described axiomatically, with a systematic treatment of their orientations. For every oriented theory, transfer mappings are constructed for mappings of smooth varieties that are proper on supports. In some basic cases, transfers are calculated. The presentation is illustrated by motivic cohomology,

K

$K$ -theory, algebraic cobordism, and other examples.

Received: 10.01.2006

English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 2, Pages 305–346
DOI: https://doi.org/10.1090/S1061-0022-07-00952-1

Bibliographic databases:

Document Type: Article

MSC: 14F99

Language: Russian

Citation: A. L. Smirnov, “Orientations and transfers in cohomology of algebraic varieties”, Algebra i Analiz, 18:2 (2006), 167–224; St. Petersburg Math. J., 18:2 (2007), 305–346

Citation in format AMSBIB

\Bibitem{Smi06}

\by A.~L.~Smirnov

\paper Orientations and transfers in cohomology of algebraic varieties

\jour Algebra i Analiz

\yr 2006

\vol 18

\issue 2

\pages 167--224

\mathnet{http://mi.mathnet.ru/aa71}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2244939}

\zmath{https://zbmath.org/?q=an:1126.14024}

\transl

\jour St. Petersburg Math. J.

\yr 2007

\vol 18

\issue 2

\pages 305--346

\crossref{https://doi.org/10.1090/S1061-0022-07-00952-1}

Linking options:

https://www.mathnet.ru/eng/aa71

https://www.mathnet.ru/eng/aa/v18/i2/p167

This publication is cited in the following 10 articles:

St. Petersburg Math. J., 33:1 (2022), 97–140
Ananyevskiy A., “Sl-Oriented Cohomology Theories”, Motivic Homotopy Theory and Refined Enumerative Geometry, Contemporary Mathematics, 745, ed. Binda F. Levine M. Nguyen M. Rondigs O., Amer Mathematical Soc, 2020, 1–19
Vishik A., “Operations and Poly-Operations in Algebraic Cobordism”, Adv. Math., 366 (2020), 107066
Vishik A., “Stable and Unstable Operations in Algebraic Cobordism”, Ann. Sci. Ec. Norm. Super., 52:3 (2019), 561–630
Vishik A., “Symmetric operations for all primes and Steenrod operations in algebraic cobordism”, Compos. Math., 152:5 (2016), 1052–1070
Ananyevskiy A., “On the push-forwards for motivic cohomology theories with invertible stable Hopf element”, Manuscr. Math., 150:1-2 (2016), 21–44
Vishik A., “Algebraic Cobordism as a Module Over the Lazard Ring”, Math. Ann., 363:3-4 (2015), 973–983
Nenashev A., “Projective push-forwards in the Witt theory of algebraic varieties”, Adv. Math., 220:6 (2009), 1923–1944
Déglise F., “Around the Gysin triangle. II”, Doc. Math., 13 (2008), 613–675
A. L. Smirnov, “Riemann–Roch theorem for operations in cohomology of algebraic varieties”, St. Petersburg Math. J., 18:5 (2007), 837–856

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	588
Full-text PDF :	203
References:	70
First page:	5

Что такое QR-код?

Registration to the website

Logotypes