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Let X be a compact complex manifold endowed with a big line bundle L.
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Berman, R.: Bergman kernels for weighted polynomials and weighted equilibrium measures of ℂ n {\mathbb{C}}^{n} . Indiana Univ. Math. J. 58 (2009), no. 4, 1921–1946
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Rockafellar, R.T.: Convex analysis. Princeton Landmarks in Mathematics, 1970
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Zaharjuta, V.: Transfinite diameter, Chebyshev constants, and capacity for compacta in ℂ n {\mathbb{C}}^{n} , Math. USSR Sbornik 25 (1975), 350–364
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Kinderlehrer, D.; Stampacchia: An introduction to variational inequalities and their applications. Academic Press, New York, 1980
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Bedford, E.; Taylor, B.A.: A new capacity for plurisubharmonic functions. Acta Math. 149 (1982), no. 1-2, 1–40
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Nguyen, T.V.; Zeriahi, A.: Familles de polynômes presque partout bornés. Bull. Sci. Math. (2) 107 (1983), no. 1, 81–91
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Aubin, T.: Réduction du cas positif de l’équation de Monge-Ampère sur les variétés kählériennes compactes à la démonstration d’une inégalité. J. Funct. Anal. 57 (1984), no. 2, 143–153
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Donaldson, S.K.: Anti self-dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles. Proc. London Math. Soc. (3) 50 (1985), no. 1, 1–26
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Mabuchi, T.: K-energy maps integrating Futaki invariants. Tohoku Math. J. (2) 38 (1986), no. 4, 575–593
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Bedford, E.; Taylor, B.A.: Fine topology, Šilov boundary, and ( d d c ) n (dd^{c})^{n} . J. Funct. Anal. 72 (1987), no. 2, 225–251
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Bismut, J-M; Gillet, H.; Soulé,C.: Analytic torsion and holomorphic determinant bundles. I-III. Direct images and Bott-Chern forms. Comm. Math. Phys. 115 (1988)
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Bismut, J.-M.; Vasserot, E.: The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle. Comm. Math. Phys. 125 (1989), no. 2, 355–367
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Bouche, T.: Convergence de la métrique de Fubini-Study dÕun fibré linéaire positif, Ann. Inst. Fourier (1) 40 (1990), 117–130
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Tian, G.: On a set of polarized Kähler metrics on algebraic manifolds. J. Differential Geom. 32 (1) (1990), 99–130
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Klimek, M.: Pluripotential theory. London Mathematical Society Monographs. New Series, 6. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1991
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Demailly, J.-P.: Regularization of closed positive currents and Intersection Theory. J. Alg. Geom, 1, (1992), 361-409
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Ji, S.; Shiffman, B.: Properties of compact complex manifolds carrying closed positive currents. J. Geom. Anal. 3 (1993), no. 1, 37–61
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Schneider, R.: Convex bodies, the Brunn-Minkowski theory. Volume 44 of Encyclopaedia of Mathematics and its Applications. Cambridge University Press, Cambridge, 1993
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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
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Gelfand, I. M.; Kapranov, M. M.; Zelevinsky, A.V.: Discriminants, resultants, and multidimensional determinants. Birkhäuser Boston, Inc., Boston, MA, 1994. x+523
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Abbes, A.; Bouche, T.: Théorème de Hilbert-Samuel “arithmétique”. Ann. Inst. Fourier 45 (1995), no. 2, 375–401
1995
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Saff, E.B..; Totik, V.: Logarithmic potentials with exterior fields. Springer-Verlag, Berlin. (1997) (with an appendix by Bloom, T.)
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Szpiro, L.; Ullmo, E.; Zhang, S.: Equirépartition des petits points. Invent. Math. 127 (1997), no. 2, 337–347
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Bonavero, L.: Inégalités de Morse holomorphes singulières. J. Geom. Anal. 8 (1998), no. 3, 409–425
1998
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Berman, R.: Super Toeplitz operators on holomorphic line bundles J. Geom. Anal. 16 (2006), no. 1, 1–22
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Bombieri, E.; Gubler, W.: Heights in Diophantine geometry, New Mathematical Mono- graphs, 4. Cambridge University Press, Cambridge, 2006
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Chambert-Loir, A.; Thuillier, A.: Formule de Mahler et équidistribution logarithmique. Preprint (2006) arXiv:math.NT/0612556. To appear in Ann. Inst. Fourier
2006
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Bassanelli, G.; Bertoloot, F.: Bifurcation currents in holomorphic dynamics on ℙ n . {\mathbb{P}}^{n}. J. Reine. Angew. Math 608 (2007), 201–235
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Zelditch, S.: Szegö kernels and a theorem of Tian. Int. Math. Res. Notices 6 (1998), 317–331
1998
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Bloom, T.; Calvi, J.-P., On the multivariate transfinite diameter. Ann. Polon. Math. 72 (1999), no. 3, 285–305
1999
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Catlin, D.; The Bergman kernel and a theorem of Tian. In Analysis and geometry in several complex variables (Katata, 1997), Trends Math., pages 1-23. Birkhäuser Boston, Boston, MA, 1999
1999
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Cerveau, D.; Ghys, E.; Sibony, N.; Yoccoz, J.-C.: Dynamique et géométrie complexes. Panoramas et Synthèses 8 (1999). Société Mathématique de France, Paris
1999
Cited alongside, same era.
Deift, P.A.: Orthogonal polynomials and random matrices: a Riemann-Hilbert approach. Courant Lecture Notes in Mathematics, 3. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, 1999
1999
Cited alongside, same era.
Chen, X.X.: The space of Kähler metrics, J. Diff. Geom. 56 (2000), no. 2, 189-234
2000
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Rumely, R.; Lau, C.F.; Varley, R.: Existence of the sectional capacity. Mem. Amer. Math. Soc. 145 (2000), no. 690
2000
Cited alongside, same era.
2007
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2007
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Bloom, T.; Levenberg, N.: Transfinite diameter notions in ℂ N {\mathbb{C}}^{N} and integrals of Vandermonde determinants. Preprint (2007) arXiv: 0712.2844
2007
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De Marco, L.; Rumely, R.: Transfinite diameter and the resultant. J. Reine Angew. Math. 611 (2007), 145–161
2007
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Rumely, R.: A Robin formula for the Fekete-Leja transfinite diameter. Math. Ann. 337 (2007), no. 4, 729–738
2007
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Boucksom, S.; Favre, C.; Jonsson, M.: Valuations and plurisubharmonic singularities. Publ. Res. Inst. Math. Sci. 44 (2008), no. 2, 449–494
2008
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Yuan, X.: Big line bundles over arithmetic varieties. Invent. Math. 173 (2008), no.3 603–649
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Berndtsson, B.: Positivity of direct image bundles and convexity on the space of Kähler metrics. J. Diff. Geom. 81 (2009), no. 3, 457–482
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Bloom,T.: Weighted polynomials and weighted pluripotential theory. Trans. Amer. Math. Soc. 361 (2009), no.4, 2163–2179
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Boucksom, S.; Favre, C.; Jonsson, M.: Differentiability of volumes of divisors and a problem of Teissier. J. Alg. Geom. 18 (2009), 279–308
2009
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Bloom, T.; Levenberg, N.: Strong asymptotics for Christoffel functions of planar measures. Preprint (2007) arXiv: 0709.2073
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