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Author ID: consani.caterina Recent zbMATH articles by "Consani, Caterina"
Published as: Consani, Caterina; Consani, C.
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Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 537 times in 259 Documents Cited by Year
Schemes over \(\mathbb F_{1}\) and zeta functions. Zbl 1201.14001
Connes, Alain; Consani, Caterina
65
2010
The hyperring of adèle classes. Zbl 1221.14002
Connes, Alain; Consani, Caterina
46
2011
From monoids to hyperstructures: in search of an absolute arithmetic. Zbl 1234.14002
Connes, Alain; Consani, Caterina
33
2010
On the notion of geometry over \(\mathbb{F}_{1}\). Zbl 1227.14006
Connes, Alain; Consani, Caterina
29
2011
The arithmetic site. (Le site arithmétique.) Zbl 1315.11054
Connes, Alain; Consani, Caterina
27
2014
Fun with \(\mathbb F_1\). Zbl 1228.11143
Connes, Alain; Consani, Caterina; Marcolli, Matilde
27
2009
Noncommutative geometry and motives: the thermodynamics of endomotives. Zbl 1125.14001
Connes, Alain; Consani, Caterina; Marcolli, Matilde
27
2007
Characteristic 1, entropy and the absolute point. Zbl 1273.11140
Connes, Alain; Consani, Caterina
27
2011
Geometry of the arithmetic site. Zbl 1368.14038
Connes, Alain; Consani, Caterina
24
2016
Absolute algebra and Segal’s \(\gamma\)-rings: au dessous de \(\overline{\operatorname{Spec}(\mathbb{Z})}\). Zbl 1409.14046
Connes, Alain; Consani, Caterina
16
2016
Double complexes and Euler \(L\)-factors. Zbl 0932.14011
Consani, Caterina
15
1998
Universal thickening of the field of real numbers. Zbl 1387.11086
Connes, Alain; Consani, Caterina
15
2015
The Weil proof and the geometry of the adelès class space. Zbl 1208.11108
Connes, Alain; Consani, Caterina; Marcolli, Matilde
15
2009
Noncommutative geometry, dynamics, and \(\infty\)-adic Arakelov geometry. Zbl 1112.14023
Consani, Caterina; Marcolli, Matilde
14
2004
Homological algebra in characteristic one. Zbl 1411.18006
Connes, Alain; Consani, Caterina
13
2019
Geometry of the scaling site. Zbl 1406.11118
Connes, Alain; Consani, Caterina
12
2017
Spectral triples from Mumford curves. Zbl 1072.11045
Consani, Caterina; Marcolli, Matilde
10
2003
On absolute algebraic geometry the affine case. Zbl 1478.14047
Connes, Alain; Consani, Caterina
10
2021
Arithmetic on a quintic threefold. Zbl 1111.11306
Consani, Caterina; Scholten, Jasper
9
2001
On the arithmetic of the BC-system. Zbl 1302.11069
Connes, Alain; Consani, Caterina
9
2014
Quantum statistical mechanics over function fields. Zbl 1160.11043
Consani, Caterina; Marcolli, Matilde
9
2007
Projective geometry in characteristic one and the epicyclic category. Zbl 1338.19004
Connes, Alain; Consani, Caterina
7
2015
Cyclic homology, Serre’s local factors and \(\lambda\)-operations. Zbl 1327.14109
Connes, Alain; Consani, Caterina
7
2014
The scaling site. (Le site des fréquences.) Zbl 1348.18004
Connes, Alain; Consani, Caterina
6
2016
Cyclic structures and the topos of simplicial sets. Zbl 1328.19005
Connes, Alain; Consani, Caterina
6
2015
\(\overline{\operatorname{Spec}\mathbb{Z}}\) and the Gromov norm. Zbl 1444.16061
Connes, Alain; Consani, Caterina
6
2020
Spectral triples and \(\zeta\)-cycles. Zbl 1537.11121
Connes, Alain; Consani, Caterina
6
2023
Weil positivity and trace formula the Archimedean place. Zbl 1480.46084
Connes, Alain; Consani, Caterina
5
2021
Segal’s gamma rings and universal arithmetic. Zbl 1484.14003
Connes, Alain; Consani, Caterina
5
2021
The Riemann-Roch strategy. Complex lift of the scaling site. Zbl 1458.11108
Connes, Alain; Consani, Caterina
4
2019
On the cusp form motives in genus 1 and level 1. Zbl 1115.14017
Consani, Caterina; Faber, Carel
4
2006
New perspectives in Arakelov geometry. Zbl 1071.58008
Consani, Caterina; Marcolli, Matilde
2
2004
K-theory of blow-ups and vector bundles on the cone over a surface. Zbl 0806.14003
Consani, Caterina
2
1993
The cyclic and epicyclic sites. Zbl 1331.18005
Connes, Alain; Consani, Caterina
2
2015
Quasi-inner functions and local factors. Zbl 1476.46071
Connes, Alain; Consani, Caterina
2
2021
The scaling Hamiltonian. Zbl 1524.11171
Connes, Alain; Consani, Caterina
2
2021
Archimedean cohomology revisited. Zbl 1101.14034
Consani, Caterina; Marcolli, Matilde
2
2006
Riemann-Roch for \(\overline{\operatorname{Spec}\mathbb{Z}}\). Zbl 1529.14003
Connes, Alain; Consani, Caterina
2
2023
The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch). Zbl 0963.14003
Consani, Caterina
1
1999
A moving-lemma for a singular variety and applications to the Grothendieck group \(K_ 0(X)\). Appendix. Zbl 0767.14002
Consani, Caterina
1
1992
Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Zbl 1432.58003
1
2019
Riemann-Roch for the ring \(\mathbb{Z}\). (Riemann-Roch pour l’anneau \(\mathbb{Z}\).) Zbl 1539.14017
Connes, Alain; Consani, Caterina
1
2024
Riemann-Roch for the ring \(\mathbb{Z}\). (Riemann-Roch pour l’anneau \(\mathbb{Z}\).) Zbl 1539.14017
Connes, Alain; Consani, Caterina
1
2024
Spectral triples and \(\zeta\)-cycles. Zbl 1537.11121
Connes, Alain; Consani, Caterina
6
2023
Riemann-Roch for \(\overline{\operatorname{Spec}\mathbb{Z}}\). Zbl 1529.14003
Connes, Alain; Consani, Caterina
2
2023
On absolute algebraic geometry the affine case. Zbl 1478.14047
Connes, Alain; Consani, Caterina
10
2021
Weil positivity and trace formula the Archimedean place. Zbl 1480.46084
Connes, Alain; Consani, Caterina
5
2021
Segal’s gamma rings and universal arithmetic. Zbl 1484.14003
Connes, Alain; Consani, Caterina
5
2021
Quasi-inner functions and local factors. Zbl 1476.46071
Connes, Alain; Consani, Caterina
2
2021
The scaling Hamiltonian. Zbl 1524.11171
Connes, Alain; Consani, Caterina
2
2021
\(\overline{\operatorname{Spec}\mathbb{Z}}\) and the Gromov norm. Zbl 1444.16061
Connes, Alain; Consani, Caterina
6
2020
Homological algebra in characteristic one. Zbl 1411.18006
Connes, Alain; Consani, Caterina
13
2019
The Riemann-Roch strategy. Complex lift of the scaling site. Zbl 1458.11108
Connes, Alain; Consani, Caterina
4
2019
Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Zbl 1432.58003
1
2019
Geometry of the scaling site. Zbl 1406.11118
Connes, Alain; Consani, Caterina
12
2017
Geometry of the arithmetic site. Zbl 1368.14038
Connes, Alain; Consani, Caterina
24
2016
Absolute algebra and Segal’s \(\gamma\)-rings: au dessous de \(\overline{\operatorname{Spec}(\mathbb{Z})}\). Zbl 1409.14046
Connes, Alain; Consani, Caterina
16
2016
The scaling site. (Le site des fréquences.) Zbl 1348.18004
Connes, Alain; Consani, Caterina
6
2016
Universal thickening of the field of real numbers. Zbl 1387.11086
Connes, Alain; Consani, Caterina
15
2015
Projective geometry in characteristic one and the epicyclic category. Zbl 1338.19004
Connes, Alain; Consani, Caterina
7
2015
Cyclic structures and the topos of simplicial sets. Zbl 1328.19005
Connes, Alain; Consani, Caterina
6
2015
The cyclic and epicyclic sites. Zbl 1331.18005
Connes, Alain; Consani, Caterina
2
2015
The arithmetic site. (Le site arithmétique.) Zbl 1315.11054
Connes, Alain; Consani, Caterina
27
2014
On the arithmetic of the BC-system. Zbl 1302.11069
Connes, Alain; Consani, Caterina
9
2014
Cyclic homology, Serre’s local factors and \(\lambda\)-operations. Zbl 1327.14109
Connes, Alain; Consani, Caterina
7
2014
The hyperring of adèle classes. Zbl 1221.14002
Connes, Alain; Consani, Caterina
46
2011
On the notion of geometry over \(\mathbb{F}_{1}\). Zbl 1227.14006
Connes, Alain; Consani, Caterina
29
2011
Characteristic 1, entropy and the absolute point. Zbl 1273.11140
Connes, Alain; Consani, Caterina
27
2011
Schemes over \(\mathbb F_{1}\) and zeta functions. Zbl 1201.14001
Connes, Alain; Consani, Caterina
65
2010
From monoids to hyperstructures: in search of an absolute arithmetic. Zbl 1234.14002
Connes, Alain; Consani, Caterina
33
2010
Fun with \(\mathbb F_1\). Zbl 1228.11143
Connes, Alain; Consani, Caterina; Marcolli, Matilde
27
2009
The Weil proof and the geometry of the adelès class space. Zbl 1208.11108
Connes, Alain; Consani, Caterina; Marcolli, Matilde
15
2009
Noncommutative geometry and motives: the thermodynamics of endomotives. Zbl 1125.14001
Connes, Alain; Consani, Caterina; Marcolli, Matilde
27
2007
Quantum statistical mechanics over function fields. Zbl 1160.11043
Consani, Caterina; Marcolli, Matilde
9
2007
On the cusp form motives in genus 1 and level 1. Zbl 1115.14017
Consani, Caterina; Faber, Carel
4
2006
Archimedean cohomology revisited. Zbl 1101.14034
Consani, Caterina; Marcolli, Matilde
2
2006
Noncommutative geometry, dynamics, and \(\infty\)-adic Arakelov geometry. Zbl 1112.14023
Consani, Caterina; Marcolli, Matilde
14
2004
New perspectives in Arakelov geometry. Zbl 1071.58008
Consani, Caterina; Marcolli, Matilde
2
2004
Spectral triples from Mumford curves. Zbl 1072.11045
Consani, Caterina; Marcolli, Matilde
10
2003
Arithmetic on a quintic threefold. Zbl 1111.11306
Consani, Caterina; Scholten, Jasper
9
2001
The local monodromy as a generalized algebraic correspondence (with an appendix by Spencer Bloch). Zbl 0963.14003
Consani, Caterina
1
1999
Double complexes and Euler \(L\)-factors. Zbl 0932.14011
Consani, Caterina
15
1998
K-theory of blow-ups and vector bundles on the cone over a surface. Zbl 0806.14003
Consani, Caterina
2
1993
A moving-lemma for a singular variety and applications to the Grothendieck group \(K_ 0(X)\). Appendix. Zbl 0767.14002
Consani, Caterina
1
1992
all top 5

Cited by 262 Authors

34 Connes, Alain
29 Consani, Caterina
22 Marcolli, Matilde
19 Lorscheid, Oliver
18 Jun, Jaiung
9 Rowen, Louis Halle
8 Mincheva, Kalina
6 Banerjee, Abhishek
6 Gaubert, Stéphane
6 Hemelaer, Jens
6 Szczesny, Matthew
5 Cornelissen, Gunther
5 Kurokawa, Nobushige
5 Manin, Yuriĭ Ivanovich
5 Tolliver, Jeffrey
4 Ameri, Reza
4 Nam, Tran Giang
4 Neshveyev, Sergey V.
3 Allamigeon, Xavier
3 Baker, Matthew H.
3 Cvetko-Vah, Karin
3 Deitmar, Anton
3 Izhakian, Zur
3 Le Bruyn, Lieven
3 Pirashvili, Ilia
3 Skomra, Mateusz
3 Sreekantan, Ramesh
3 Van der Geer, Gerard
2 Akian, Marianne
2 Balchin, Scott
2 Conti, Roberto
2 Cristea, Irina
2 Davvaz, Bijan
2 Derakhshan, Jamshid
2 Di Nola, Antonio
2 Dimitrov, Mladen
2 Eberhardt, Jens Niklas
2 Grünbaum, Francisco Alberto
2 Joó, Dániel
2 Knebusch, Manfred
2 Koyama, Shin-ya
2 Krishna, Amalendu
2 Krishnan, Sanjeevi
2 Laca, Marcelo
2 Lenzi, Giacomo
2 Lescot, Paul
2 Macintyre, Angus John
2 Mahanta, Snigdhayan
2 Mousavi, Seyed Sh.
2 Raskind, Wayne
2 Ray, Samarpita
2 Rogers, Morgan
2 Sistko, Alexander Harris
2 Tabuada, Gonçalo
2 Tanaka, Hidekazu
2 Thas, Koen
2 Tomita, Takuki
2 van Suijlekom, Walter Daniël
2 Young, Matthew B.
2 Zumbrägel, Jens
1 A’Campo, Norbert
1 Afshar, Behnam
1 Aghabozorgi, Hossien
1 Agudelo, Alexander
1 Anderson, Laura
1 Applebaum, David B.
1 Asadi, Ameneh
1 Azi, K.
1 Balu, Radhakrishnan
1 Bambozzi, Federico
1 Bartocci, Claudio
1 Beardsley, Jonathan
1 Ben-Bassat, Oren
1 Bergström, Jonas
1 Bertozzini, Paolo
1 Besser, Amnon
1 Blumberg, Andrew J.
1 Bohmann, Anna Marie
1 Borger, James M.
1 Bowler, Nathan
1 Bruce, Chris
1 Buium, Alexandru
1 Burton, Simon
1 Canning, Samir
1 Caramello, Olivia
1 Caruso, Xavier
1 Casper, W. Riley
1 Castella, Dominique
1 Chirvăsitu, Alexandru
1 Chu, Chenghao
1 Combe, Noemie C.
1 Cranch, James
1 Cynk, Sławomir
1 Dave, Shantanu
1 David, Agnès
1 Davis, James Frederic
1 Davis, Simon Brian
1 de Jong, Jan Willem
1 Dembélé, Lassina
1 Dieulefait, Luis Victor
...and 162 more Authors
all top 5

Cited in 107 Serials

18 Journal of Number Theory
12 Journal of Algebra
11 Advances in Mathematics
11 Journal of Pure and Applied Algebra
9 Journal of Geometry and Physics
8 Selecta Mathematica. New Series
8 Journal of Noncommutative Geometry
6 Communications in Algebra
6 Mathematische Zeitschrift
6 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
5 Communications in Mathematical Physics
5 Applied Categorical Structures
4 Theory and Applications of Categories
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Compositio Mathematica
3 Memoirs of the American Mathematical Society
3 Nagoya Mathematical Journal
3 Rendiconti del Seminario Matematico della Università di Padova
3 Transactions of the American Mathematical Society
3 Journal of Symbolic Computation
3 Forum Mathematicum
3 Journal of Algebraic Geometry
3 Journal of Algebra and its Applications
2 Journal of Mathematical Physics
2 Rocky Mountain Journal of Mathematics
2 Mathematics of Computation
2 Inventiones Mathematicae
2 Manuscripta Mathematica
2 Proceedings of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Semigroup Forum
2 Annals of Pure and Applied Logic
2 L’Enseignement Mathématique. 2e Série
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of Mathematical Sciences (New York)
2 Oberwolfach Reports
2 International Journal of Number Theory
2 Journal of Homotopy and Related Structures
2 Forum of Mathematics, Sigma
2 Categories and General Algebraic Structures with Applications
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Beiträge zur Algebra und Geometrie
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Acta Scientiarum Mathematicarum
1 Archiv der Mathematik
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Journal of the Indian Institute of Science
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Kybernetika
1 Mathematische Annalen
1 Mathematica Scandinavica
1 Osaka Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Theoretical Computer Science
1 Topology and its Applications
1 Acta Applicandae Mathematicae
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Mathematical Structures in Computer Science
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Linear Algebra and its Applications
1 Proceedings of the National Academy of Sciences of the United States of America
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Journal of Knot Theory and its Ramifications
1 Experimental Mathematics
1 Russian Journal of Mathematical Physics
1 Annales Mathématiques Blaise Pascal
1 Kyushu Journal of Mathematics
1 Bulletin des Sciences Mathématiques
1 Documenta Mathematica
1 Balkan Journal of Geometry and its Applications (BJGA)
1 Mathematical Physics, Analysis and Geometry
1 Soft Computing
1 Algebras and Representation Theory
1 Journal of High Energy Physics
1 Kragujevac Journal of Mathematics
1 Quantum Information Processing
1 Journal of the Institute of Mathematics of Jussieu
1 Hacettepe Journal of Mathematics and Statistics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Innovations in Incidence Geometry
1 Journal of Mathematics and Music
1 Complex Analysis and Operator Theory
1 Journal of \(K\)-Theory
1 Ars Mathematica Contemporanea
1 Japanese Journal of Mathematics. 3rd Series
1 São Paulo Journal of Mathematical Sciences
1 Science China. Mathematics
1 Annals of Functional Analysis
1 Journal of Mahani Mathematical Research Center
1 EMS Surveys in Mathematical Sciences
...and 7 more Serials
all top 5

Cited in 47 Fields

119 Algebraic geometry (14-XX)
96 Number theory (11-XX)
57 Associative rings and algebras (16-XX)
49 Group theory and generalizations (20-XX)
47 Category theory; homological algebra (18-XX)
38 Functional analysis (46-XX)
31 Field theory and polynomials (12-XX)
27 \(K\)-theory (19-XX)
27 Global analysis, analysis on manifolds (58-XX)
20 Commutative algebra (13-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
17 Combinatorics (05-XX)
17 Quantum theory (81-XX)
15 Algebraic topology (55-XX)
8 Mathematical logic and foundations (03-XX)
8 General algebraic systems (08-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 General and overarching topics; collections (00-XX)
6 Information and communication theory, circuits (94-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Nonassociative rings and algebras (17-XX)
5 Topological groups, Lie groups (22-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Special functions (33-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Convex and discrete geometry (52-XX)
4 Manifolds and cell complexes (57-XX)
3 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Operator theory (47-XX)
3 Differential geometry (53-XX)
3 General topology (54-XX)
3 Computer science (68-XX)
3 Operations research, mathematical programming (90-XX)
2 Geometry (51-XX)
2 Probability theory and stochastic processes (60-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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