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Author ID: bost.jean-benoit Recent zbMATH articles by "Bost, Jean-Benoît"
Published as: Bost, Jean-Benoît; Bost, J.-B.; Bost, Jean-Benoit; Bost, Jean Benoît
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Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 646 times in 555 Documents Cited by Year
Heights of projective varieties and positive Green forms. Zbl 0973.14013
Bost, J.-B.; Gillet, H.; Soulé, C.
129
1994
Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory. Zbl 0842.46040
Bost, J.-B.; Connes, A.
127
1995
Bosonization on higher genus Riemann surfaces. Zbl 0647.14019
Alvarez-Gaumé, Luis; Bost, Jean-Benoît; Moore, Gregory; Nelson, Philip; Vafa, Cumrun
71
1987
Algebraic leaves of algebraic foliations over number fields. Zbl 1034.14010
Bost, Jean-Benoît
45
2001
Principe d’Oka, K-théorie et systèmes dynamiques non commutatifs. (Oka’s principle, K-theory and noncommutative dynamical systems). Zbl 0719.46038
Bost, J.-B.
40
1990
Intrinsic heights of stable varieties and abelian varieties. Zbl 0867.14010
Bost, J.-B.
25
1996
Arithmetic-geometric mean and periods of curves of genus 1 and 2. (Moyenne arithmético-géométrique et périodes des courbes de genre 1 et 2.) Zbl 0682.14031
Bost, Jean-Benoît; Mestre, Jean-François
24
1988
Periods and isogenies of abelian varieties of number fields [after D. Masser and G. Wüstholz]. (Périodes et isogénies des variétés abéliennes sur les corps de nombres [d’après D. Masser et G. Wüstholz].) Zbl 0936.11042
Bost, Jean-Benoît
24
1996
Potential theory and Lefschetz theorems for arithmetic surfaces. Zbl 0931.14014
Bost, J.-B.
19
1999
Determinant fiber bundles, Quillen metric and degeneracy of curves. (Fibrés déterminants, métriques de Quillen et dégénérescence des courbes.) Zbl 0709.32019
Bismut, J.-M.; Bost, J.-B.
18
1990
Semi-stability and heights of cycles. Zbl 0873.14028
Bost, Jean-Benoît
15
1994
Hermitian vector bundles and extension groups on arithmetic schemes. I: Geometry of numbers. Zbl 1187.14027
Bost, Jean-Benoît; Künnemann, Klaus
12
2010
Tores invariants des systèmes dynamiques Hamiltoniens (d’après Kolmogorov, Arnol’d, Moser, Rüssmann, Zehnder, Herman, Pöschel,…). (Invariant tori of Hamiltonian dynamical systems). Zbl 0602.58021
Bost, Jean-Benoît
11
1986
Concerning the semistability of tensor products in Arakelov geometry. Zbl 1286.14040
Bost, Jean-Benoît; Chen, Huayi
10
2013
Fonctions de Green-Arakelov, fonctions thêta et courbes de genre 2. (Green-Arakelov functions, theta functions and curves of genus 2). Zbl 0638.14016
Bost, Jean-Benoît
8
1987
Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems. Zbl 1067.14021
Bost, Jean-Benoît
8
2004
Sur le calcul explicite des “classes de Chern” des surfaces arithmétiques de genre 2. (Explicit computation of “Chern classes” of genus 2 arithmetic surfaces). Zbl 0731.14017
Bost, Jean-Benoît; Mestre, Jean-François; Moret-Bailly, Laurent
6
1990
Introduction to compact Riemann surfaces, Jacobians, and abelian varieties. Zbl 0815.14018
Bost, Jean-Benoît
6
1992
Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves. Zbl 1471.11002
Bost, Jean-Benoît
5
2020
Analytic torsion of projective spaces and compatibility with immersions of Quillen metrics. Zbl 1048.14500
Bost, Jean-Benoît
4
1998
An arithmetic analogue of the theorem of Bézout. (Un analogue arithmétique du théorème de Bézout.) Zbl 0756.14012
Bost, Jean-Benoît; Gillet, Henri; Soulé, Christophe
4
1991
Intersection theory and arithmetic Riemann-Roch theorem. (Théorie de l’intersection et théorème de Riemann-Roch arithmétiques.) Zbl 0780.14013
Bost, Jean-Benoît
4
1991
Analytic curves in algebraic varieties over number fields. Zbl 1201.14016
Bost, Jean-Benoît; Chambert-Loir, Antoine
4
2009
Evaluation maps, slopes, and algebraicity criteria. Zbl 1141.14011
Bost, Jean-Benoît
3
2006
Green’s currents and height pairing on complex tori. Zbl 0742.14006
Bost, Jean-Benoît
3
1990
Euler products and type III factors. (Produits eulériens et facteurs de type III.) Zbl 0781.46045
Bost, Jean Benoît; Connes, Alain
3
1992
Some remarks concerning the Grothendieck period conjecture. Zbl 1337.14009
Bost, Jean-Benoît; Charles, François
3
2016
Algebraization, transcendence, and \(D\)-group schemes. Zbl 1355.11074
Bost, Jean-Benoît
3
2013
Semi-stable curves and fundamental groups in geometry and algebra. Proceedings of a conference, CIRM, Luminy, France, November 30–December 4, 1998. (Courbes semi-stables et groupe fondamental en géométrie algébrique. Actes des conférences données au CIRM à Luminy, France, 30 novembre au 4 décembre 1998.) Zbl 0978.14002
2
2000
Simply connected varieties in characteristic \(p>0\). Zbl 1337.14024
Esnault, Hélène; Srinivas, Vasudevan; Bost, Jean-Benoît
2
2016
A neglected aspect of Kähler’s work on arithmetic geometry: birational invariants of algebraic varieties over number fields. Zbl 1365.14002
Bost, Jean-Benoît
2
2003
Hermitian vector bundles and extension groups on arithmetic schemes. II: The arithmetic Atiyah extension. Zbl 1200.14049
Bost, Jean-Benoît; Künnemann, Klaus
2
2009
Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes. (Determinant fiber bundles, regularized determinants and measures on moduli spaces of complex curves.). Zbl 0655.32021
Bost, Jean-Benoît
1
1987
K-théorie des produits croisés et principe d’Oka. (K-theory of crossed products and Oka principle). Zbl 0588.46041
Bost, Jean-Benoît
1
1985
From algebraic geometry to automorphic forms (I). A collection of articles in honor of the 60th birthday of Gérard Laumon. Proceedings of the conference, Orsay, France, June 25–29, 2012. (De la géométrie algébrique aux formes automorphes (I). Une collection d’articles en l’honneur du soixantième anniversaire de Gérard Laumon.) Zbl 1319.14003
1
2015
Semi-abelian schemes and heights of cycles in moduli spaces of abelian varieties. Zbl 1272.14021
Bost, Jean-Benoît; Freixas i Montplet, Gerard
1
2012
Theta invariants of Euclidean lattices and infinite-dimensional Hermitian vector bundles over arithmetic curves. Zbl 1471.11002
Bost, Jean-Benoît
5
2020
Some remarks concerning the Grothendieck period conjecture. Zbl 1337.14009
Bost, Jean-Benoît; Charles, François
3
2016
Simply connected varieties in characteristic \(p>0\). Zbl 1337.14024
Esnault, Hélène; Srinivas, Vasudevan; Bost, Jean-Benoît
2
2016
From algebraic geometry to automorphic forms (I). A collection of articles in honor of the 60th birthday of Gérard Laumon. Proceedings of the conference, Orsay, France, June 25–29, 2012. (De la géométrie algébrique aux formes automorphes (I). Une collection d’articles en l’honneur du soixantième anniversaire de Gérard Laumon.) Zbl 1319.14003
1
2015
Concerning the semistability of tensor products in Arakelov geometry. Zbl 1286.14040
Bost, Jean-Benoît; Chen, Huayi
10
2013
Algebraization, transcendence, and \(D\)-group schemes. Zbl 1355.11074
Bost, Jean-Benoît
3
2013
Semi-abelian schemes and heights of cycles in moduli spaces of abelian varieties. Zbl 1272.14021
Bost, Jean-Benoît; Freixas i Montplet, Gerard
1
2012
Hermitian vector bundles and extension groups on arithmetic schemes. I: Geometry of numbers. Zbl 1187.14027
Bost, Jean-Benoît; Künnemann, Klaus
12
2010
Analytic curves in algebraic varieties over number fields. Zbl 1201.14016
Bost, Jean-Benoît; Chambert-Loir, Antoine
4
2009
Hermitian vector bundles and extension groups on arithmetic schemes. II: The arithmetic Atiyah extension. Zbl 1200.14049
Bost, Jean-Benoît; Künnemann, Klaus
2
2009
Evaluation maps, slopes, and algebraicity criteria. Zbl 1141.14011
Bost, Jean-Benoît
3
2006
Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems. Zbl 1067.14021
Bost, Jean-Benoît
8
2004
A neglected aspect of Kähler’s work on arithmetic geometry: birational invariants of algebraic varieties over number fields. Zbl 1365.14002
Bost, Jean-Benoît
2
2003
Algebraic leaves of algebraic foliations over number fields. Zbl 1034.14010
Bost, Jean-Benoît
45
2001
Semi-stable curves and fundamental groups in geometry and algebra. Proceedings of a conference, CIRM, Luminy, France, November 30–December 4, 1998. (Courbes semi-stables et groupe fondamental en géométrie algébrique. Actes des conférences données au CIRM à Luminy, France, 30 novembre au 4 décembre 1998.) Zbl 0978.14002
2
2000
Potential theory and Lefschetz theorems for arithmetic surfaces. Zbl 0931.14014
Bost, J.-B.
19
1999
Analytic torsion of projective spaces and compatibility with immersions of Quillen metrics. Zbl 1048.14500
Bost, Jean-Benoît
4
1998
Intrinsic heights of stable varieties and abelian varieties. Zbl 0867.14010
Bost, J.-B.
25
1996
Periods and isogenies of abelian varieties of number fields [after D. Masser and G. Wüstholz]. (Périodes et isogénies des variétés abéliennes sur les corps de nombres [d’après D. Masser et G. Wüstholz].) Zbl 0936.11042
Bost, Jean-Benoît
24
1996
Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory. Zbl 0842.46040
Bost, J.-B.; Connes, A.
127
1995
Heights of projective varieties and positive Green forms. Zbl 0973.14013
Bost, J.-B.; Gillet, H.; Soulé, C.
129
1994
Semi-stability and heights of cycles. Zbl 0873.14028
Bost, Jean-Benoît
15
1994
Introduction to compact Riemann surfaces, Jacobians, and abelian varieties. Zbl 0815.14018
Bost, Jean-Benoît
6
1992
Euler products and type III factors. (Produits eulériens et facteurs de type III.) Zbl 0781.46045
Bost, Jean Benoît; Connes, Alain
3
1992
An arithmetic analogue of the theorem of Bézout. (Un analogue arithmétique du théorème de Bézout.) Zbl 0756.14012
Bost, Jean-Benoît; Gillet, Henri; Soulé, Christophe
4
1991
Intersection theory and arithmetic Riemann-Roch theorem. (Théorie de l’intersection et théorème de Riemann-Roch arithmétiques.) Zbl 0780.14013
Bost, Jean-Benoît
4
1991
Principe d’Oka, K-théorie et systèmes dynamiques non commutatifs. (Oka’s principle, K-theory and noncommutative dynamical systems). Zbl 0719.46038
Bost, J.-B.
40
1990
Determinant fiber bundles, Quillen metric and degeneracy of curves. (Fibrés déterminants, métriques de Quillen et dégénérescence des courbes.) Zbl 0709.32019
Bismut, J.-M.; Bost, J.-B.
18
1990
Sur le calcul explicite des “classes de Chern” des surfaces arithmétiques de genre 2. (Explicit computation of “Chern classes” of genus 2 arithmetic surfaces). Zbl 0731.14017
Bost, Jean-Benoît; Mestre, Jean-François; Moret-Bailly, Laurent
6
1990
Green’s currents and height pairing on complex tori. Zbl 0742.14006
Bost, Jean-Benoît
3
1990
Arithmetic-geometric mean and periods of curves of genus 1 and 2. (Moyenne arithmético-géométrique et périodes des courbes de genre 1 et 2.) Zbl 0682.14031
Bost, Jean-Benoît; Mestre, Jean-François
24
1988
Bosonization on higher genus Riemann surfaces. Zbl 0647.14019
Alvarez-Gaumé, Luis; Bost, Jean-Benoît; Moore, Gregory; Nelson, Philip; Vafa, Cumrun
71
1987
Fonctions de Green-Arakelov, fonctions thêta et courbes de genre 2. (Green-Arakelov functions, theta functions and curves of genus 2). Zbl 0638.14016
Bost, Jean-Benoît
8
1987
Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes. (Determinant fiber bundles, regularized determinants and measures on moduli spaces of complex curves.). Zbl 0655.32021
Bost, Jean-Benoît
1
1987
Tores invariants des systèmes dynamiques Hamiltoniens (d’après Kolmogorov, Arnol’d, Moser, Rüssmann, Zehnder, Herman, Pöschel,…). (Invariant tori of Hamiltonian dynamical systems). Zbl 0602.58021
Bost, Jean-Benoît
11
1986
K-théorie des produits croisés et principe d’Oka. (K-theory of crossed products and Oka principle). Zbl 0588.46041
Bost, Jean-Benoît
1
1985
all top 5

Cited by 542 Authors

18 Laca, Marcelo
18 Marcolli, Matilde
13 Bost, Jean-Benoît
11 Cho, Ilwoo
11 Connes, Alain
11 Freixas i Montplet, Gerard
10 Neshveyev, Sergey V.
10 Raeburn, Iain
9 Chen, Huayi
9 Consani, Caterina
9 Tien Cuong Dinh
8 Gaudron, Éric
8 Larsen, Nadia S.
7 Burgos Gil, José Ignacio
7 Jørgensen, Palle E. T.
7 Rémond, Gaël
7 Soulé, Christophe
6 an Huef, Astrid
6 de Jong, Robin
6 Philippon, Patrice
6 Viada, Evelina
6 Yger, Alain
5 Berman, Robert J.
5 Chambert-Loir, Antoine
5 Cornelissen, Gunther
5 Druel, Stéphane
5 Sibony, Nessim
5 Sims, Aidan
4 Bruce, Chris
4 Flynn, Eugene Victor
4 Gasbarri, Carlo
4 Jorgenson, Jay Alan
4 Kramer, Jürg
4 Li, Xin
4 Liţcanu, Răzvan
4 Manin, Yuriĭ Ivanovich
4 Palma, Rui
4 Piszczek, Krzysztof
4 Ramagge, Jacqui
4 Takeishi, Takuya
3 Afsar, Zahra
3 Andersson, Mats
3 Autissier, Pascal
3 Berenstein, Carlos Alberto
3 Chinburg, Ted
3 Cuntz, Joachim
3 David, Sinnou
3 D’Hoker, Eric
3 Dubédat, Julien
3 Finski, Siarhei
3 Gawȩdzki, Krzysztof
3 Kakariadis, Evgenios T. A.
3 Klimek, Slawomir
3 Künnemann, Klaus
3 Lapidus, Michel L.
3 Liu, Chunhui
3 Maillot, Vincent
3 Malmendier, Andreas
3 Mcbride, Matt
3 Meo, Michel
3 Moriwaki, Atsushi
3 Nelson, Philip A.
3 Pardo, Luis Miguel
3 Peoples, John Wilson
3 Pioline, Boris
3 Ponge, Raphaël S.
3 Rössler, Damian Charles
3 Sankaran, Siddarth
3 Schlotterer, Oliver
3 Sombra, Martín
3 Tamvakis, Harry
3 Veneziano, Francesco
3 Wentworth, Richard A.
3 Wulcan, Elizabeth
3 Yoshikawa, Ken-Ichi
3 Yuan, Xinyi
3 Zhang, Tong
2 Alexandrov, Sergei Yu.
2 Andreatta, Fabrizio
2 Arnaud, Marie-Claude
2 Barbieri Viale, Luca
2 Bertapelle, Alessandra
2 Biller, Harald
2 Bobenko, Alexander Ivanovich
2 Braeger, Noah
2 Browning, Timothy Daniel
2 Brownlowe, Nathan
2 Bruin, Nils
2 Bruinier, Jan Hendrik
2 Brunault, François
2 Calabrese, Pasquale
2 Campana, Frédéric
2 Charpentier, Éric
2 Checcoli, Sara
2 Cimasoni, David
2 Curtis, Robyn
2 Dujardin, Romain
2 Eriksson, Dennis
2 Esnault, Hélène
2 Exel, Ruy
...and 442 more Authors
all top 5

Cited in 157 Serials

34 Communications in Mathematical Physics
23 Journal of Number Theory
22 Duke Mathematical Journal
19 Advances in Mathematics
14 Journal of Functional Analysis
13 Journal of Noncommutative Geometry
12 Annales de l’Institut Fourier
12 Journal für die Reine und Angewandte Mathematik
12 Mathematische Annalen
11 Inventiones Mathematicae
10 Compositio Mathematica
10 Transactions of the American Mathematical Society
10 Journal of High Energy Physics
9 Journal of Geometry and Physics
9 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
9 Mathematische Zeitschrift
9 Journal of Algebraic Geometry
8 Bulletin de la Société Mathématique de France
8 Journal de Théorie des Nombres de Bordeaux
7 Proceedings of the American Mathematical Society
6 Journal of Pure and Applied Algebra
5 Journal of Mathematical Physics
5 Nuclear Physics. B
5 Mathematics of Computation
5 Manuscripta Mathematica
5 Expositiones Mathematicae
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Complex Analysis and Operator Theory
5 Algebra & Number Theory
4 Israel Journal of Mathematics
4 Journal d’Analyse Mathématique
4 Journal of Mathematical Analysis and Applications
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Journal of the American Mathematical Society
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Annals of Mathematics. Second Series
4 Journal of the European Mathematical Society (JEMS)
4 Journal of Statistical Mechanics: Theory and Experiment
4 International Journal of Number Theory
4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
4 Kyoto Journal of Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Publications Mathématiques
3 Journal of Algebra
3 Rendiconti del Seminario Matematico della Università di Padova
3 Annals of Global Analysis and Geometry
3 International Journal of Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Bulletin des Sciences Mathématiques
3 Journal of \(K\)-Theory
3 Forum of Mathematics, Sigma
2 International Journal of Modern Physics A
2 Rocky Mountain Journal of Mathematics
2 Acta Arithmetica
2 Acta Mathematica
2 Commentarii Mathematici Helvetici
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Tôhoku Mathematical Journal. Second Series
2 Ergodic Theory and Dynamical Systems
2 Journal of Complexity
2 \(K\)-Theory
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Applicable Algebra in Engineering, Communication and Computing
2 Journal of Mathematical Imaging and Vision
2 Russian Journal of Mathematical Physics
2 Selecta Mathematica. New Series
2 Documenta Mathematica
2 Physical Review Letters
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Oberwolfach Reports
2 Japanese Journal of Mathematics. 3rd Series
2 Science China. Mathematics
2 Annals of Functional Analysis
2 Mathematics
2 European Journal of Mathematics
1 Modern Physics Letters A
1 International Journal of Modern Physics B
1 Bulletin of the Australian Mathematical Society
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Reviews in Mathematical Physics
1 Fortschritte der Physik
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Collectanea Mathematica
1 Dissertationes Mathematicae
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Monatshefte für Mathematik
...and 57 more Serials
all top 5

Cited in 46 Fields

274 Algebraic geometry (14-XX)
225 Number theory (11-XX)
120 Functional analysis (46-XX)
73 Several complex variables and analytic spaces (32-XX)
67 Quantum theory (81-XX)
64 Global analysis, analysis on manifolds (58-XX)
58 Dynamical systems and ergodic theory (37-XX)
36 Statistical mechanics, structure of matter (82-XX)
29 Group theory and generalizations (20-XX)
25 Functions of a complex variable (30-XX)
22 Operator theory (47-XX)
21 Topological groups, Lie groups (22-XX)
20 \(K\)-theory (19-XX)
16 Combinatorics (05-XX)
13 Differential geometry (53-XX)
11 Information and communication theory, circuits (94-XX)
10 Partial differential equations (35-XX)
10 Manifolds and cell complexes (57-XX)
9 Field theory and polynomials (12-XX)
9 Commutative algebra (13-XX)
8 Probability theory and stochastic processes (60-XX)
8 Mechanics of particles and systems (70-XX)
7 Nonassociative rings and algebras (17-XX)
7 Category theory; homological algebra (18-XX)
7 Potential theory (31-XX)
7 Relativity and gravitational theory (83-XX)
5 Associative rings and algebras (16-XX)
5 Measure and integration (28-XX)
5 Algebraic topology (55-XX)
4 Mathematical logic and foundations (03-XX)
4 Special functions (33-XX)
4 Ordinary differential equations (34-XX)
4 Abstract harmonic analysis (43-XX)
4 Numerical analysis (65-XX)
4 Computer science (68-XX)
3 Convex and discrete geometry (52-XX)
2 General and overarching topics; collections (00-XX)
2 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Geometry (51-XX)
2 General topology (54-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Approximations and expansions (41-XX)
1 Operations research, mathematical programming (90-XX)
1 Mathematics education (97-XX)

Citations by Year

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