Arithmetic chow rings and deligne-beilinson cohomology

Journal of Algebraic Geometry

Volumn 6, Issue 2, 1997, Pages 335-337

  Burgos, Jose Ignacio ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744445159     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. [Ar] Arakelov, S. J., Intersection theory of divisors on an arithmetic surface, Math. USSR Izvestija 8 (1974) 1167-1180.
2. [Be] Beilinson, A. A., Higher regulators and values of L-functions, J. Soviet Math. 30 (1985) 2036-2070.
3. e série 7 (1974) 181-202.
4. ∞ logarithmic Dolbeault complex, Compositio Math. 92 (1994) 61-86.
5. [Bu 2] Burgos, J. I., Green forms and their product, Duke Math. J. 75 (1994) 529-574.
6. [Bu 3] Burgos, J. I., Arithmetic Chow rings, Tesis Universidad de Barcelona, 1994.
7. [C-S] Cheeger, J. and Simons, J., Differential characters and geometric invariants, Geometry and Topology, Lecture Notes in Math. 1167, Springer-Verlag, 1980, pp. 50-80.
8. [De] Deligne, P., Théorie de Hodge II, Publ. Math. IHES 40 (1972) 5-57;
9. III, Publ. Math. IHES 44 (1975) 5-77.
10. [Dem] Demailly, J.P., Book in preparation.
11. [E-V] Esnault, H. and Viehweg, E., Deligne-Beilinson cohomology, Beilinson's conjectures on special values of L-functions (Rappoport, M., Schappacher, N. and Schneider, P., eds.), Perspectives in Mathematics 4, Academic Press, Boston, Inc., 1988, pp. 43-92.
12. [Fu1] Fulton, W., Intersection Theory, Ergebnisse der Mathematik und ihrer Grenzgebiete 3, Springer-Verlag, 1984.
13. [G-S] Gillet, H. and Soule, C., Arithmetic intersection theory, Publ. Math. IHES 72 (1990) 93-174.
14. [Gi] Gillet, H., Riemann-Roch theorem for higher algebraic K-theory, Advances in Math. 40 (1981) 203-289.
15. [Gr 1] Grayson, D., The K-theory of hereditary categories, J. Pure Appl. Alg. 11 (1977) 67-74.
16. [Gr 2] Grayson, D., Localization for flat modules in algebraic K-theory, J. Algebra 61 (1979) 463-496.
17. [H-L] Herrera, M. and Lieberman, D., Residues and principal values on complex spaces, Math. Ann. 194 (1971) 259-294.
18. [J] Jannsen, U., Deligne homology, Hodge-D-conjecture, and motives, Beilinson's conjectures on special values of L-functions (Rappoport, M., Schappacher, N. and Schneider, P., eds.), Perspectives in Mathematics 4, Academic Press, Inc., Boston, 1988, pp. 305-372.
19. [N] Navarro Aznar, V., Sur la théorie de Hodge-Deligne, Invent. Math. 90 (1987) 11-76.
20. [Q] Quillen, D., Higher Algebraic K-Theory I, Lecture Notes in Math. 341, Springer-Verlag, Berlin, 1973.
21. [Sch] Schneider, P., Introduction to the Beilinson Conjectures, Beilinson's conjectures on special values of L-functions (Rappoport, M., Schappacher, N. and Schneider, P., eds.), Perspectives in Mathematics 4, Academic Press, Inc., Boston, 1988, pp. 305-372.
22. [Se] Serre, J. P., Algèbre locale, 3rd Ed., Lecture Notes in Math. 11, Springer-Verlag, Berlin, 1975.
23. [Sou] Soulé, C., Opérations en K-théorie algébrique, Canad. J. Math. 37 (1985) 488-550.
24. [Wa] Wang, A., Higher-order characteristic classes in arithmetic geometry, Thesis, Harvard, 1992.