Jean-Benoît Bost - Selected Publications#

Bost, J.-B.: Principe d'Oka, K-théorie et systèmes dynamiques non commutatifs. [The Oka principle, K-theory and noncommutative dynamical systems]. Invent. Math. 101 (1990), no. 2, 261–333.

Bismut, J.-M., Bost, J.-B.: Fibrés déterminants, métriques de Quillen et dégénérescence des courbes. [Determinant bundles, Quillen metrics and degeneration of curves]. Acta Math. 165 (1990), no. 1-2, 1–103.

Bost, J.-B, Gillet, H., Soulé, C.: Heights of projective varieties and positive Green forms. J. Amer. Math. Soc. 7 (1994), no. 4, 903–1027.

Bost, J.-B.: Semi-stability and heights of cycles. Invent. Math. 118 (1994), no. 2, 223–253.

Bost, J.-B.: Périodes et isogénies des variétés abéliennes sur les corps de nombres. Séminaire Bourbaki, Vol. 1994/95, Astérisque 237 (1996), 115-161.

Bost, J.-B., Connes, A.: Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory. Selecta Math. (N.S.) 1 (1995), no. 3, 411–457.

Bost, J.-B.: Potential theory and Lefschetz theorems for arithmetic surfaces. Ann. Sc. Ecole Norm. Sup. 32 (1999), 231-312.

Bost, J.-B.: Algebraic leaves of algebraic foliations over number fields. Publ. Math. Inst. Hautes Études Sci. No. 93 (2001), 161–221.

Bost, J.-B., Chambert-Loir, A.: Analytic curves in algebraic varieties over number fields. Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. I, 69–124, Progr. Math. 269, Birkhäuser Boston, Inc., Boston, MA, 2009.

Bost, J.-B., Künnemann, K.: Hermitian vector bundles and extension groups on arithmetic schemes. I. Geometry of number. Adv. Math. 223 (2010), 987-1106.

Bost, J.-B.: Algebraization, transcendence, and D-group schemes. Notre Dame J. Form. Log. 54 (2013), no. 3-4, 377–434.

Bost, J.-B., Charles, F.: Some remarks concerning the Grothendieck period conjecture. J. Reine Angew. Math. 714 (2016), 175-208.