Green currents and analytic continuation

Journal d'Analyse Mathematique

Volumn 75, Issue , 1998, Pages 1-50

  Berenstein, Carlos A ^a   Yger, Alain ^b  

^a University of Maryland   (United States)

^b UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002111765     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02788690     Document Type: Article

References (23)

1. [At] M. F. Atiyah, Resolution of singularities and division of distributions, Comm. Pure Appl. Math. 23 (1970), 145-150.
2. [BGY] C. A. Berenstein, R. Gay and A. Yger, Analytic continuation of currents and division problems, Forum Math. 1 (1989), 15-51.
3. [BGVY] C. A. Berenstein, R. Gay, A. Vidras and A. Yger, Residue Currents and Bezout Identities, Birkhäuser, Boston, 1993.
4. [BY1] C. A. Berenstein and A. Yger, Une formule de Jacobi et ses conséquences, Ann. Sci. École Norm. Sup. Paris 24 (1991), 363-377.
5. [BY2] C. A. Berenstein and A. Yger, Exponential polynomials and D-modules, Compositio Math. 95 (1995), 131-181.
6. [Bo] R. P. Boas Jr., Entire Functions, Academic Press, New York, 1954.
7. [BGS] J.-B. Bost, H. Gillet and C. Soulé, Heights of projective varieties and positive Green forms, J. Amer. Math. Soc. 7 (1994), 903-1027.
8. [CaM] J. Cassaigne and V. Maillot, Hauteurs des hypersurfaces et fonctions zêta d'Igusa, preprint LMENS-94-5, ENS Paris.
9. [CH] N. Coleff and M. Herrera, Les courants résidus associés à une forme méromorphe, Lecture Notes in Math. 633, Springer-Verlag, Berlin, 1978.
10. [De1] J.-P. Demailly, Monge-Ampère operators, Lelong numbers, and intersection theory, in Complex Analysis and Geometry (V. Ancona and A. Silva, eds.), Univ. Series in Math., Plenum Press, New York, 1993.
11. 2 vanishing theorems for positive line bundles and adjunction theory, in CIME Lectures on Transcendental Methods in Algebraic Geometry, Cetraro, Italy, July 1994.
12. [De3] J.-P. Demailly, Regularization of closed positive currents and intersection theory, J. Algebraic Geom. 1 (1992), 361-409.
13. [GH] P. Griffiths and J. Harris, Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978.
14. [GK] P. Griffiths and J. King, Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math. 130 (1973), 145-220.
15. [GR] I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York, 1980.
16. [GS1] H. Gillet and C. Soulé, Arithmetic intersection theory, Inst. Hautes Études Sci. Publ. Math. 72 (1990), 93-74.
17. [GS2] H. Gillet and C. Soulé, Characteristic classes for algebraic vector bundles with Hermitian metric, I, II, Ann. of Math. (2) 131 (1990), 163-203, 205-238.
18. [He] S. Helgason, Groups and Geometric Analysis, Academic Press, New York, 1984.
19. [Le] H. Levine, A theorem on holomorphic mappings into complex projective space, Ann. of Math. (2) 71 (1960), 529-535.
20. [St] W. Stoll, About the value distribution of holomorphic maps into the projective space, Acta Math. 123 (1969), 83-114.
21. [Sto] G. Stolzenberg, Volumes, limits, and extensions of analytic varieties, Lecture Notes in Math. 19, Springer-Verlag, Berlin, 1966.
22. [Vo] P. Vojta, Diophantine approximations and value distribution theory, Lecture Notes in Math. 1239, Springer-Verlag, Berlin, 1987.
23. [WZ] H. S. Wilf and D. Zeilberger, Rational function certification of hypergeometric multiintegrals, sums, q-identities, Bull. Amer. Math. Soc. 24 (1992), 143-148.