Poincaré and algebraic geometry
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- by Phillip A. Griffiths PDF
- Bull. Amer. Math. Soc. 6 (1982), 147-159
References
-
1. P. Appell and E. Goursat, Théorie des fonctions algébriques et de leurs intégrales, Gauthier-Villars, Paris, 1929.
2. G. Castelnuovo and F. Enriques, Grundeigeshaften der Algebraischen Flächen, Encyklop. der Math. Wissenschaften, 3 (1903), 635-768.
3. E. Picard and G. Simart, Théorie des fonctions algébriques de deux variables independentes, Gauthier-Villars, Paris, 1897-1906.
- Phillip Griffiths and Joseph Harris, Principles of algebraic geometry, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York, 1978. MR 507725
- H. Poincare, Sur les Fonctions Abeliennes, Amer. J. Math. 8 (1886), no. 4, 289–342 (French). MR 1505429, DOI 10.2307/2369391 6. H. Poincaré, Remarques diverses sur les fonctions abéliennes, J. de Math., (5) series, 1 (1895), 219-314.
- H. Poincaré, Sur les résidus des intégrales doubles, Acta Math. 9 (1887), no. 1, 321–380 (French). MR 1554721, DOI 10.1007/BF02406742
- Phillip A. Griffiths, On the periods of certain rational integrals. I, II, Ann. of Math. (2) 90 (1969), 460-495; ibid. (2) 90 (1969), 496–541. MR 0260733, DOI 10.2307/1970746 9. H. Poincaré, Sur les courbes tracées sur les surfaces algébriques, Ann. Sci. de l’École Norm. Sup. 27 (1910), 55-108. 10. H. Poincaré, Sur les courbes tracées sur une surface algébrique, Sitz. der Berliner Math. Gesellschaft. 10 (1911), 28-55.
- Oscar Zariski, Algebraic surfaces, Second supplemented edition, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 61, Springer-Verlag, New York-Heidelberg, 1971. With appendices by S. S. Abhyankar, J. Lipman, and D. Mumford. MR 0469915 12. S. Lefschetz, l’Analysis situs et la géométrie algébrique, Gauthier-Villars, Paris, 1924.
- Phillip A. Griffiths, A theorem concerning the differential equations satisfied by normal functions associated to algebraic cycles, Amer. J. Math. 101 (1979), no. 1, 94–131. MR 527828, DOI 10.2307/2373941
- Steven Zucker, Generalized intermediate Jacobians and the theorem on normal functions, Invent. Math. 33 (1976), no. 3, 185–222. MR 412186, DOI 10.1007/BF01404203
- Steven Zucker, Hodge theory with degenerating coefficients. $L_{2}$ cohomology in the Poincaré metric, Ann. of Math. (2) 109 (1979), no. 3, 415–476. MR 534758, DOI 10.2307/1971221
- C. Herbert Clemens, Double solids, Adv. in Math. 47 (1983), no. 2, 107–230. MR 690465, DOI 10.1016/0001-8708(83)90025-7
- Phillip A. Griffiths, Periods of integrals on algebraic manifolds. III. Some global differential-geometric properties of the period mapping, Inst. Hautes Études Sci. Publ. Math. 38 (1970), 125–180. MR 282990, DOI 10.1007/BF02684654
- Steven Zucker, The Hodge conjecture for cubic fourfolds, Compositio Math. 34 (1977), no. 2, 199–209. MR 453741
- Phillip Griffiths, Infinitesimal invariant of normal functions, Topics in transcendental algebraic geometry (Princeton, N.J., 1981/1982) Ann. of Math. Stud., vol. 106, Princeton Univ. Press, Princeton, NJ, 1984, pp. 305–316. MR 756859 20. E. Arbarello, M. Cornalba, P. Griffiths, and J. Harris, Topics in algebraic curves, Princeton Math. Series, Princeton Univ. Press, Princeton, N. J. (to appear)
Additional Information
- Journal: Bull. Amer. Math. Soc. 6 (1982), 147-159
- DOI: https://doi.org/10.1090/S0273-0979-1982-14967-9
- MathSciNet review: 640942