Remote Access Journal of the American Mathematical Society
Green Open Access

Journal of the American Mathematical Society

ISSN 1088-6834(online) ISSN 0894-0347(print)

 

 

Determinant of period integrals


Authors: Takeshi Saito and Tomohide Terasoma
Journal: J. Amer. Math. Soc. 10 (1997), 865-937
MSC (1991): Primary 14F99
MathSciNet review: 1444751
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [A] Greg W. Anderson, Cyclotomy and an extension of the Taniyama group, Compositio Math. 57 (1986), no. 2, 153–217. MR 827351
  • [D1] Pierre Deligne, Équations différentielles à points singuliers réguliers, Lecture Notes in Mathematics, Vol. 163, Springer-Verlag, Berlin-New York, 1970 (French). MR 0417174
  • [D2] Pierre Deligne, Théorie de Hodge. II, Inst. Hautes Études Sci. Publ. Math. 40 (1971), 5–57 (French). MR 0498551
  • [D3] -, La formule de dualité globale, SGA 4 Exp. XVIII, LNM, vol. 305, Springer-Verlag, Berlin-Heidelberg-New York, 1973, pp. 481-587.
  • [D4] P. Deligne, Valeurs de fonctions 𝐿 et périodes d’intégrales, Automorphic forms, representations and 𝐿-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 313–346 (French). With an appendix by N. Koblitz and A. Ogus. MR 546622
  • [D5] Pierre Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. 52 (1980), 137–252 (French). MR 601520
  • [D6] P. Deligne, Le groupe fondamental de la droite projective moins trois points, Galois groups over 𝑄 (Berkeley, CA, 1987) Math. Sci. Res. Inst. Publ., vol. 16, Springer, New York, 1989, pp. 79–297 (French). MR 1012168, 10.1007/978-1-4613-9649-9_3
  • [D7] P. Deligne, Le déterminant de la cohomologie, Current trends in arithmetical algebraic geometry (Arcata, Calif., 1985), Contemp. Math., vol. 67, Amer. Math. Soc., Providence, RI, 1987, pp. 93–177 (French). MR 902592, 10.1090/conm/067/902592
  • [G] Henri Gillet, Gersten’s conjecture for the 𝐾-theory with torsion coefficients of a discrete valuation ring, J. Algebra 103 (1986), no. 1, 377–380. MR 860713, 10.1016/0021-8693(86)90193-6
  • [K-M] Finn Faye Knudsen and David Mumford, The projectivity of the moduli space of stable curves. I. Preliminaries on “det” and “Div”, Math. Scand. 39 (1976), no. 1, 19–55. MR 0437541
  • [O] Christian Okonek, Michael Schneider, and Heinz Spindler, Vector bundles on complex projective spaces, Progress in Mathematics, vol. 3, Birkhäuser, Boston, Mass., 1980. MR 561910
  • [Q] Daniel Quillen, Higher algebraic 𝐾-theory. I, Algebraic 𝐾-theory, I: Higher 𝐾-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Springer, Berlin, 1973, pp. 85–147. Lecture Notes in Math., Vol. 341. MR 0338129
  • [Sa] N.Saavedra, Catégorie tannakienne, LNM, vol. 265, Springer-Verlag, Berlin-Heidelberg-New York, 1972.
  • [S1] Takeshi Saito, 𝜀-factor of a tamely ramified sheaf on a variety, Invent. Math. 113 (1993), no. 2, 389–417. MR 1228131, 10.1007/BF01244312
  • [S2] Takeshi Saito, Jacobi sum Hecke characters, de Rham discriminant, and the determinant of 𝑙-adic cohomologies, J. Algebraic Geom. 3 (1994), no. 3, 411–434. MR 1269714
  • [ST] Takeshi Saito and Tomohide Terasoma, A determinant formula for period integrals, Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 5, 131–135. MR 1232153
  • [T] Tomohide Terasoma, A product formula for period integrals, Math. Ann. 298 (1994), no. 4, 577–589. MR 1268595, 10.1007/BF01459752

Similar Articles

Retrieve articles in Journal of the American Mathematical Society with MSC (1991): 14F99

Retrieve articles in all journals with MSC (1991): 14F99


Additional Information

Takeshi Saito
Affiliation: Department of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro, 153 Tokyo, Japan
Email: t-saito@ms.u-tokyo.ac.jp

Tomohide Terasoma
Affiliation: Department of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba Meguro, 153 Tokyo, Japan
Email: terasoma@ms.u-tokyo.ac.jp

DOI: https://doi.org/10.1090/S0894-0347-97-00243-9
Received by editor(s): June 3, 1996
Received by editor(s) in revised form: May 7, 1997
Article copyright: © Copyright 1997 American Mathematical Society