Schemes over 𝔽1 and zeta functions A Connes, C Consani Compositio Mathematica 146 (6), 1383-1415, 2010 | 165 | 2010 |
The hyperring of adele classes A Connes, C Consani Journal of Number Theory 131 (2), 159-194, 2011 | 128 | 2011 |
On the notion of geometry over $\F_1$ A Connes, C Consani arXiv preprint arXiv:0809.2926, 2008 | 85 | 2008 |
From monoids to hyperstructures: in search of an absolute arithmetic A Connes, C Consani Casimir Force, Casimir Operators and the Riemann Hypothesis, de Gruyter, 147-198, 2010 | 82 | 2010 |
Fun with F1 A Connes, C Consani, M Marcolli Journal of Number Theory 129 (6), 1532-1561, 2009 | 79 | 2009 |
Noncommutative geometry and motives: the thermodynamics of endomotives A Connes, C Consani, M Marcolli Advances in Mathematics 214 (2), 761-831, 2007 | 76 | 2007 |
The scaling site A Connes, C Consani Comptes Rendus. Mathématique 354 (1), 1-6, 2016 | 73 | 2016 |
Characteristic 1, entropy and the absolute point A Connes, C Consani Noncommutative geometry, arithmetic, and related topics, 75-139, 2011 | 69 | 2011 |
The arithmetic site A Connes, C Consani Comptes Rendus. Mathématique 352 (12), 971-975, 2014 | 60 | 2014 |
Noncommutative geometry, dynamics, and∞-adic Arakelov geometry C Consani, M Marcolli Selecta Mathematica 10 (2), 167, 2004 | 59 | 2004 |
Double complexes and Euler L-factors C Consani Compositio Mathematica 111 (3), 323-358, 1998 | 59 | 1998 |
Geometry of the arithmetic site A Connes, C Consani Advances in Mathematics 291, 274-329, 2016 | 58 | 2016 |
The Weil proof and the geometry of the adeles class space A Connes, C Consani, M Marcolli Algebra, Arithmetic, and Geometry: Volume I: In Honor of Yu. I. Manin, 339-405, 2009 | 44 | 2009 |
Arithmetic on a quintic threefold C Consani, J Scholten International Journal of Mathematics 12 (08), 943-972, 2001 | 43 | 2001 |
Universal thickening of the field of real numbers A Connes, C Consani Advances in the Theory of Numbers: Proceedings of the Thirteenth Conference …, 2015 | 32 | 2015 |
Spectral triples from Mumford curves C Consani, M Marcolli International Mathematics Research Notices 2003 (36), 1945-1972, 2003 | 32 | 2003 |
Homological algebra in characteristic one A Connes, C Consani arXiv preprint arXiv:1703.02325, 2017 | 31 | 2017 |
Absolute algebra and Segal's Γ-rings: Au dessous de Spec (Z)‾ A Connes, C Consani Journal of Number Theory 162, 518-551, 2016 | 31 | 2016 |
Cyclic homology, Serre's local factors and λ-operations A Connes, C Consani Journal of K-Theory 14 (1), 1-45, 2014 | 30 | 2014 |
Geometry of the scaling site A Connes, C Consani Selecta Mathematica 23, 1803-1850, 2017 | 27 | 2017 |