Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0

Comptes Rendus Mathématique
Volume 350, n° 9-10
pages 455-458 (mai 2012)
Doi : 10.1016/j.crma.2012.05.001
Received : 8 Mars 2012 ;  accepted : 27 April 2012
Projective geometry for blueprints
Geometrie projective pour les canevas bleus

Javier López Peña a, 1 , Oliver Lorscheid b
a Department of Mathematics, University College London, 25 Gower Street, London WC1E 6BT, United Kingdom 
b Department of Mathematics, University of Wuppertal, Gaußstr. 20, 42097 Wuppertal, Germany 


In this Note, we generalize the Proj-construction from usual schemes to blue schemes. This yields the definition of projective space and projective varieties over a blueprint. In particular, it is possible to descend closed subvarieties of a projective space to a canonical  -model. We discuss this in case of the Grassmannian  .

The full text of this article is available in PDF format.

Dans cette Note, nous généralisons la Proj-construction des schémas usuels aux schémas bleus. Cela entraine la définition dʼespace projectif et de variétés projectives sur un canevas bleu. En particulier, il est possible de descendre une sous-variété fermée dʼun espace projectif en un  -modèle canonique. Nous discutons cela dans le cas de la Grassmannienne  .

The full text of this article is available in PDF format.
1  J. López Peñaʼs research was supported by MCIM grant MTM2010-20940-C02-01, research group FQM-266 (Junta de Andalucía) and Max-Planck Institute for Mathematics in Bonn.

© 2012  Published by Elsevier Masson SAS de la part de Académie des sciences.
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline