Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Mathematics of the USSR-Izvestiya, 1989, Volume 32, Issue 1, Pages 191–204
DOI: https://doi.org/10.1070/IM1989v032n01ABEH000752
(Mi im1174)
 

This article is cited in 11 scientific papers (total in 11 papers)

On the derived category and $K$-functor of coherent sheaves on intersections of quadrics

M. M. Kapranov
References:
Abstract: A graded Clifford algebra connected with the complete intersection of several quadrics is considered. In terms of modules over this algebra, a description is given of the derived category of coherent sheaves and the Quillen $K$-functor of the intersection of quadrics, which generalizes the results of I. N. Bernshtein, I. M. Gel'fand, S. I. Gel'fand, and R. G. Swan. Here, ramified two-sheeted coverings of the parameter space arise in a natural way, the consideration of which is traditional for intersections of two or three quadrics.
Bibliography: 12 titles.
Received: 14.04.1986
Bibliographic databases:
UDC: 513.6
MSC: Primary 14C35, 14F05, 13C10, 18F25, 14F20, 18D35, 18E30; Secondary 19D10, 11E88, 19G99, 16A03
Language: English
Original paper language: Russian
Citation: M. M. Kapranov, “On the derived category and $K$-functor of coherent sheaves on intersections of quadrics”, Math. USSR-Izv., 32:1 (1989), 191–204
Citation in format AMSBIB
\Bibitem{Kap88}
\by M.~M.~Kapranov
\paper On the derived category and $K$-functor of coherent sheaves on intersections of quadrics
\jour Math. USSR-Izv.
\yr 1989
\vol 32
\issue 1
\pages 191--204
\mathnet{http://mi.mathnet.ru//eng/im1174}
\crossref{https://doi.org/10.1070/IM1989v032n01ABEH000752}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=936529}
\zmath{https://zbmath.org/?q=an:0679.14005}
Linking options:
  • https://www.mathnet.ru/eng/im1174
  • https://doi.org/10.1070/IM1989v032n01ABEH000752
  • https://www.mathnet.ru/eng/im/v52/i1/p186
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024