[Le site des fréquences]
We investigate the semi-ringed topos obtained from the arithmetic site
Le site des fréquences
Accepté le :
Publié le :
Mots-clés : Site arithmétique, Site des fréquences, Classes d'adèles, Topos, Caractéristique 1
Alain Connes 1, 2, 3 ; Caterina Consani 4
@article{CRMATH_2016__354_1_1_0, author = {Alain Connes and Caterina Consani}, title = {The scaling site}, journal = {Comptes Rendus. Math\'ematique}, pages = {1--6}, publisher = {Elsevier}, volume = {354}, number = {1}, year = {2016}, doi = {10.1016/j.crma.2015.09.027}, language = {en}, }
Alain Connes; Caterina Consani. The scaling site. Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 1-6. doi : 10.1016/j.crma.2015.09.027. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.09.027/
[1] SGA4 (M. Artin; A. Grothendieck; J.-L. Verdier, eds.), Lect. Notes Math., vols. 269, 270, 305, Springer-Verlag, Berlin, New York, 2012
[2] Riemann–Roch and Abel–Jacobi theory on a finite graph, Adv. Math., Volume 215 (2007), pp. 766-788
[3] The arithmetic site, C. R. Acad. Sci. Paris, Ser. I, Volume 352 (2014), pp. 971-975
[4] Geometry of the arithmetic site | arXiv
[5] On some
[6] A Riemann–Roch theorem in tropical geometry, Math. Z., Volume 259 (2008), pp. 217-230
[7] Methods and applications of
[8] Sheaves in Geometry and Logic. A First Introduction to Topos Theory, Universitext, Springer-Verlag, New York, 1994 (corrected reprint of the 1992 edition)
[9] (Contemp. Math.), Volume vol. 465, Amer. Math. Soc., Providence, RI, USA (2008), pp. 203-230
[10] Dimension Theory of General Spaces, Cambridge University Press, Cambridge, UK–New York–Melbourne, 1975
- Segal’s Gamma rings and universal arithmetic, The Quarterly Journal of Mathematics, Volume 72 (2021) no. 1-2, p. 1 | DOI:10.1093/qmath/haaa042
- An arithmetic site at the complex place, Journal of Number Theory, Volume 212 (2020), p. 173 | DOI:10.1016/j.jnt.2019.11.001
- The Riemann–Roch strategy, Advances in Noncommutative Geometry (2019), p. 53 | DOI:10.1007/978-3-030-29597-4_2
- Geometry of the scaling site, Selecta Mathematica, Volume 23 (2017) no. 3, p. 1803 | DOI:10.1007/s00029-017-0313-y
- An Essay on the Riemann Hypothesis, Open Problems in Mathematics (2016), p. 225 | DOI:10.1007/978-3-319-32162-2_5
Cité par 5 documents. Sources : Crossref
Commentaires - Politique