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, 1980, Volume 14, Issue 2, Pages 395–405
DOI: https://doi.org/10.1070/IM1980v014n02ABEH001123 (Mi im1720) 		 
This article is cited in 25 scientific papers (total in 26 papers)

Smoothness of the general anticanonical divisor on a Fano 3-fold

V. V. Shokurov
English version PDF (507 kB) Citations (26) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1980v014n02ABEH001123
Abstract: Smoothness of the general anticanonical divisor of a Fano 3-fold is proved. In addition, an analogous result is established for the linear system $|\mathscr H|$, where $r\mathscr H\sim-K_V$ for some natural number $r$. The results obtained in the paper can be used to investigate projective imbeddings of Fano 3-folds.
Bibliography: 6 titles.
Received: 27.04.1978
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: Primary 14J10; Secondary 14N05, 14M20
Language: English
Original paper language: Russian
Citation: V. V. Shokurov, “Smoothness of the general anticanonical divisor on a Fano 3-fold”, Math. USSR-Izv., 14:2 (1980), 395–405
Citation in format AMSBIB
\Bibitem{Sho79}
\by V.~V.~Shokurov
\paper Smoothness of the general anticanonical divisor on a~Fano 3-fold
\jour Math. USSR-Izv.
\yr 1980
\vol 14
\issue 2
\pages 395--405
\mathnet{http://mi.mathnet.ru//eng/im1720}
\crossref{https://doi.org/10.1070/IM1980v014n02ABEH001123}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=534602}
\zmath{https://zbmath.org/?q=an:0429.14012|0407.14017}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM96800011}
Linking options:
  • https://www.mathnet.ru/eng/im1720
  • https://doi.org/10.1070/IM1980v014n02ABEH001123
  • https://www.mathnet.ru/eng/im/v43/i2/p430
    • This publication is cited in the following 26 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