Journal of Noncommutative Geometry
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Main page
About this project
Software
Classifications
Links
Terms of Use

Search papers
Search references

RSS
Current issues
Archive issues
What is RSS




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

Journal of Noncommutative Geometry, 2013, Volume 7, Issue 2, Pages 357–371
DOI: https://doi.org/10.4171/JNCG/120 (Mi jncg1) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Does full imply faithful?

A. Canonacoa, D. Orlovb, P. Stellaric

a Dipartimento di Matematica “F. Casorati”, Università degli Studi di Pavia, Via Ferrata 1, 27100, Pavia, Italy
b Steklov Mathematical Institute, ul. Gubkina 8, 119991, Moscow, Russian Federation
c Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Via Cesare Saldini 50, 20133, Milano, Italy
Citations (9)
DOI: https://doi.org/10.4171/JNCG/120
Abstract: We study full exact functors between triangulated categories. With some hypotheses on the source category we prove that it admits an orthogonal decomposition into two pieces such that the functor restricted to one of them is zero while the restriction to the other is faithful. In particular, if the source category is either the category of perfect complexes or the bounded derived category of coherent sheaves on a noetherian scheme supported on a closed connected subscheme, then any non-trivial exact full functor is faithful as well. Finally we show that removing the noetherian hypothesis this result is not true.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00336
11-01-00568
Ministry of Education and Science of the Russian Federation 5139.2012.1
11.G34.31.0023
Italian Ministry of Education, University and Research PRIN 2008
The second author was partially supported by RFBR grants 11-01-00336, 11-01-00568, NSh grant 5139.2012.1, by AG Laboratory HSE, RF gov. grant, ag. 11.G34.31.0023. The third author was partially supported by the MIUR of the Italian Government in the framework of the National Research Project "Geometria algebrica e aritmetica, teorie coomologiche e teoria dei motivi" (PRIN 2008).
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/jncg1
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:120
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024