Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 2, Pages 410–419
DOI: https://doi.org/10.17377/smzh.2016.57.214 (Mi smj2753) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Finding ein components in the moduli spaces of stable rank $2$ bundles on the projective $3$-space

A. A. Kytmanova, N. N. Osipova, S. A. Tikhomirovbc

a Siberian Federal University, Krasnoyarsk, Russia
b Koryazhma Branch of Lomonosov Nothern (Arctic) Federal University, Koryazhma, Russia
c Ushinsky Yaroslavl State Pedagogical University, Yaroslavl, Russia
Full-text PDF (351 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2016.57.214
Abstract: Some method is proposed for finding Ein components in moduli spaces of stable rank $2$ vector bundles with first Chern class $c_1=0$ on the projective $3$-space. We formulate and illustrate a conjecture on the growth rate of the number of Ein components in dependence on the numbers of the second Chern class. We present a method for calculating the spectra of the above bundles, a recurrent formula, and an explicit formula for computing the number of the spectra of these bundles.
Keywords: stable bundle, Chern class, moduli space.
Funding agency Grant number
Russian Foundation for Basic Research 15-31-20008-мол_а_вед
14-01-00283-а
Ministry of Education and Science of the Russian Federation 1.1462.2014/K
1.14.365
The authors were supported by the Russian Foundation for Basic Research (Grant 15-31-20008-mol_a_ved, the first and third authors; Grant 14-01-00283-a, the first author); the Ministry of Education and Science of the Russian Federation (Government Task 1.1462.2014/K, the first and second authors), and the basic part of Government Task 1.14.365 (the third author).
Received: 05.05.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 2, Pages 322–329
DOI: https://doi.org/10.1134/S0037446616020142
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: A. A. Kytmanov, N. N. Osipov, S. A. Tikhomirov, “Finding ein components in the moduli spaces of stable rank $2$ bundles on the projective $3$-space”, Sibirsk. Mat. Zh., 57:2 (2016), 410–419; Siberian Math. J., 57:2 (2016), 322–329
Citation in format AMSBIB
\Bibitem{KytOsiTik16}
\by A.~A.~Kytmanov, N.~N.~Osipov, S.~A.~Tikhomirov
\paper Finding ein components in the moduli spaces of stable rank~$2$ bundles on the projective $3$-space
\jour Sibirsk. Mat. Zh.
\yr 2016
\vol 57
\issue 2
\pages 410--419
\mathnet{http://mi.mathnet.ru/smj2753}
\crossref{https://doi.org/10.17377/smzh.2016.57.214}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3510202}
\elib{https://elibrary.ru/item.asp?id=26237277}
\transl
\jour Siberian Math. J.
\yr 2016
\vol 57
\issue 2
\pages 322--329
\crossref{https://doi.org/10.1134/S0037446616020142}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000376307900014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84969651402}
Linking options:
  • https://www.mathnet.ru/eng/smj2753
  • https://www.mathnet.ru/eng/smj/v57/i2/p410
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024