Asymptotic Morse inequalities for analytic sheaf cohomology
Séminaire Bourbaki : volume 1985/86, exposés 651-668, Astérisque, no. 145-146 (1987), Exposé no. 666, 15 p. 
@incollection{SB_1985-1986__28__283_0,
     author = {Siu, Yum-Tong},
     title = {Asymptotic {Morse} inequalities for analytic sheaf cohomology},
     booktitle = {S\'eminaire Bourbaki : volume 1985/86, expos\'es 651-668},
     series = {Ast\'erisque},
     note = {talk:666},
     pages = {283--297},
     year = {1987},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {145-146},
     mrnumber = {880038},
     zbl = {0613.32014},
     language = {en},
     url = {https://www.numdam.org/item/SB_1985-1986__28__283_0/}
}
TY  - CHAP
AU  - Siu, Yum-Tong
TI  - Asymptotic Morse inequalities for analytic sheaf cohomology
BT  - Séminaire Bourbaki : volume 1985/86, exposés 651-668
AU  - Collectif
T3  - Astérisque
N1  - talk:666
PY  - 1987
SP  - 283
EP  - 297
IS  - 145-146
PB  - Société mathématique de France
UR  - https://www.numdam.org/item/SB_1985-1986__28__283_0/
LA  - en
ID  - SB_1985-1986__28__283_0
ER  - 
%0 Book Section
%A Siu, Yum-Tong
%T Asymptotic Morse inequalities for analytic sheaf cohomology
%B Séminaire Bourbaki : volume 1985/86, exposés 651-668
%A Collectif
%S Astérisque
%Z talk:666
%D 1987
%P 283-297
%N 145-146
%I Société mathématique de France
%U https://www.numdam.org/item/SB_1985-1986__28__283_0/
%G en
%F SB_1985-1986__28__283_0
Siu, Yum-Tong. Asymptotic Morse inequalities for analytic sheaf cohomology, dans Séminaire Bourbaki : volume 1985/86, exposés 651-668, Astérisque, no. 145-146 (1987), Exposé no. 666, 15 p.. https://www.numdam.org/item/SB_1985-1986__28__283_0/

[1] M. F. Atiyah, R. Bott, and V. K. Patodi - On the heat equation and the index theorem, Invent. Math. 19 (1973), 279-330. | Zbl | MR

[2] J. Avron, I. Herbst, and B. Simon - Schrödinger operators with magnetic fields I, Duke Math. J. 45 (1978), 847-883. | Zbl | MR

[3] J. M. Bismut - The Atiyah-Singer Theorems: a probabilistic approach, I. The Index Theorem, J. Funct. Anal. 57 (1984), 56-99. II. The Lefschetz fixed point theorems, J. Funct. Anal. 57 (1984), 329-348. | Zbl | MR

[4] J. M. Bismut - Large deviations and the Malliavin calculus, Progress in Math. No. 45, Boston: Birkaüser 1984. | Zbl | MR

[5] J. M. Bismut - Demailly's asymptotic inequalities: a heat equation approach, Preprint 1986.

[6] P. Demailly - Champs magnétiques et inégalités de Morse pour la d'' cohomologie, C.R.A.S., série I, 301 (1985), 119-122. | Zbl | MR

[7] P. Demailly - Champs magnétiques et inégalités de Morse pour la d'' cohomologie, Ann. Inst. Fourier 35,4 (1985), 189-229. | Zbl | MR | Numdam

[8] H. Grauert and O. Riemenschneider - Verschwindungssätze für analytische Kohomologiegruppen auf Komplexen Räume, Invent. Math. 11 (1970), 263-292. | Zbl | MR

[9] K. Kodaira - On Kähler varieties of restricted type (an intrinsic characterization of algebraic varieties), Ann. of Math. 60 (1954), 28-48. | Zbl | MR

[10] B. Moishezon - On n-dimensional compact varieties with n algebraically independent meromorphic funcitons, Amer. Math. Soc. Translations 63 (1967), 51-177. | Zbl

[11] J. B. Rauch and B. A. Taylor - The Dirichlet problem for the multidimensional Monge-Ampère equation, Rocky Mountain J. Math. 7 (1977), 345-364. | Zbl | MR

[12] J.-P. Serre - Fonctions automorphes: quelques majorations dans le cas où X/G est compact, Séminaire Cartan 1953-54, 2-1 to 2-9. | Numdam

[13] C. L. Siegel - Meromorphe Funktionen auf kompakten Mannifaltigkeiten. Nachrichten der Akademie der Wissenschaften in Göttingen, Math.-Phys. Klasse 1955, N.4, 71-77. | Zbl | MR

[14] Y.-T. Siu - A vanishing theorem for semipositive line bundles over non Kahler manifolds, J. Diff. Geom. 19 (1984), 431-452. | Zbl | MR

[15] Y.-T. Siu - Some recent results in complex manifold theory related to vanishing theorems for the semi-positive case, Proceedings of the 1984 Bonn Arbeitstagung, Springer Lecture Notes in Mathematics 1111 (1985), 169-192. | Zbl | MR

[16] Y.-T. Siu - Calculus inequalities derived from holomorphic Morseinequalities, Preprint 1986.

[17] W. Thimm - Über algebraische Relation zwischen meromorphen Funktionen abgeschlossenen Räumen. Thesis, Königsberg, 1939, 44 pp. | JFM

[18] H. Weyl - Das asymptotische Verteilungsgesetz der Eigenwerte linearer partielle Differentialgleichungen, Math. Ann. 71 (1911), 441-469 | JFM

[19] E. Witten - Supersymmetry and Morse theory, J. Diff. Geom. 17 (1982), 661-692. | Zbl | MR

[20] E. Witten - Holomorphic Morse inequalities, Taubner-Texte zur Math. 70 Algebraic and Differential Topology, ed. G. M. Rassias (1984), 318-333. | Zbl | MR