Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Share This Author
The hyperring of adèle classes
- A. Connes, C. Consani
- Mathematics
- 1 February 2011
ARITHMETIC ON A QUINTIC THREEFOLD
- C. Consani, J. Scholten
- Mathematics
- 1 November 2001
This paper investigates some aspects of the arithmetic of a quintic threefold in Pr4 with double points singularities. Particular emphasis is given to the study of the L-function of the Galois action…
Double Complexes and Euler L-Factors
- C. Consani
- MathematicsCompositio Mathematica
- 1 May 1998
In this paper we take into consideration a conjecture of Bloch equating in a suitable range and under some standard conjectures, the rank of the motivic cohomology of the special fiber of a…
Schemes over 𝔽1 and zeta functions
- A. Connes, C. Consani
- MathematicsCompositio Mathematica
- 11 March 2009
Abstract We determine the real counting function N(q) (q∈[1,∞)) for the hypothetical ‘curve’ $C=\overline {\mathrm {Spec}\,\Z }$ over 𝔽1, whose corresponding zeta function is the complete Riemann…
From monoids to hyperstructures: in search of an absolute arithmetic
- A. Connes, C. Consani
- Mathematics
- 24 June 2010
We show that the trace formula interpretation of the explicit formulas expresses the counting functionN.q/ of the hypothetical curveC associated to the Riemann zeta function, as an intersection…
Characteristic 1 , entropy and the absolute point
- A. Connes, C. Consani
- Mathematics
- 1997
We show that the mathematical meaning of working in characteristic one is directly connected to the fields of idempotent analysis and tropical algebraic geometry and we relate this idea to the notion…
Quantum statistical mechanics over function fields
- C. Consani, M. Marcolli
- Mathematics
- 15 July 2006
Geometry of the Arithmetic Site
- A. Connes, C. Consani
- Mathematics
- 19 February 2015
...
...