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* Brunault, François. 2006. “Version Explicite Du Théorème de Beilinson Pour La Courbe Modulaire.” Comptes Rendus Mathematique 343 (8) (October 15): 505–510. doi:10.1016/j.crma.2006.09.014. | * Brunault, François. 2006. “Version Explicite Du Théorème de Beilinson Pour La Courbe Modulaire.” Comptes Rendus Mathematique 343 (8) (October 15): 505–510. doi:10.1016/j.crma.2006.09.014. | ||
| + | * Beilinson, A. A. 1987. “Height Pairing between Algebraic Cycles.” In $K$-Theory, Arithmetic and Geometry (Moscow, 1984–1986), 1289:1–25. Lecture Notes in Math. Berlin: Springer. http://www.ams.org/mathscinet-getitem?mr=923131. | ||
* Beilinson, A. A. 1984. “Higher Regulators and Values of $L$-Functions.” In Current Problems in Mathematics, Vol. 24, 181–238. Itogi Nauki I Tekhniki. Moscow: Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform. http://www.ams.org/mathscinet-getitem?mr=760999. http://dx.doi.org/10.1007/BF02105861 | * Beilinson, A. A. 1984. “Higher Regulators and Values of $L$-Functions.” In Current Problems in Mathematics, Vol. 24, 181–238. Itogi Nauki I Tekhniki. Moscow: Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform. http://www.ams.org/mathscinet-getitem?mr=760999. http://dx.doi.org/10.1007/BF02105861 | ||
[[분류:K-theory]] | [[분류:K-theory]] | ||
2013년 12월 26일 (목) 09:52 판
introduction
- generalizations of
- the Lichtenbaum conjectures for K-groups of number rings
- the Hodge conjecture
- the Tate conjecture about algebraic cycles
- the Birch and Swinnerton-Dyer conjecture about elliptic curves
- Bloch's conjecture about K2 of elliptic curves
- the Beĭlinson conjectures describe the leading coefficients of L-series of varieties over number fields up to rational factors in terms of generalized regulators
question and answers(Math Overflow)
expositions
- Nekovár, Jan. "Beilinson’s conjectures." U. Jannsen, SL Kleiman, J.–P. Serre,“Motives”, Proceedings of the Research Conference on Motives held July. 1994. http://www.math.jussieu.fr/~nekovar/pu/mot.pdf
- Scholl, A. J. 1992. “Modular Forms and Algebraic $K$-Theory.” Astérisque (209): 12, 85–97.
- Deninger, Christopher, and Anthony J. Scholl. 1991. “The Beilinson Conjectures.” In $L$-Functions and Arithmetic (Durham, 1989), 153:173–209. London Math. Soc. Lecture Note Ser. Cambridge: Cambridge Univ. Press. http://www.ams.org/mathscinet-getitem?mr=1110393.
articles
- Brunault, François. 2006. “Version Explicite Du Théorème de Beilinson Pour La Courbe Modulaire.” Comptes Rendus Mathematique 343 (8) (October 15): 505–510. doi:10.1016/j.crma.2006.09.014.
- Beilinson, A. A. 1987. “Height Pairing between Algebraic Cycles.” In $K$-Theory, Arithmetic and Geometry (Moscow, 1984–1986), 1289:1–25. Lecture Notes in Math. Berlin: Springer. http://www.ams.org/mathscinet-getitem?mr=923131.
- Beilinson, A. A. 1984. “Higher Regulators and Values of $L$-Functions.” In Current Problems in Mathematics, Vol. 24, 181–238. Itogi Nauki I Tekhniki. Moscow: Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform. http://www.ams.org/mathscinet-getitem?mr=760999. http://dx.doi.org/10.1007/BF02105861