Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Projective structures on moduli spaces of compact complex hypersurfaces
HTML articles powered by AMS MathViewer

by Sergey Merkulov and Henrik Pedersen
Proc. Amer. Math. Soc. 125 (1997), 407-416
DOI: https://doi.org/10.1090/S0002-9939-97-03408-4
PDF | Request permission

Abstract:

It is shown that moduli spaces of complete families of compact complex hypersurfaces in complex manifolds often come equipped canonically with projective structures satisfying some natural integrability conditions.
References
  • M. F. Atiyah, The signature of fibre-bundles, Global Analysis (Papers in Honor of K. Kodaira), Univ. Tokyo Press, Tokyo, 1969, pp. 73–84. MR 0254864
  • N. J. Hitchin, Complex manifolds and Einstein’s equations, Twistor geometry and nonlinear systems (Primorsko, 1980) Lecture Notes in Math., vol. 970, Springer, Berlin-New York, 1982, pp. 73–99. MR 699802
  • K. Kodaira, A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds, Ann. of Math. (2) 75 (1962), 146–162. MR 133841, DOI 10.2307/1970424
  • Kunihiko Kodaira, Complex manifolds and deformation of complex structures, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 283, Springer-Verlag, New York, 1986. Translated from the Japanese by Kazuo Akao; With an appendix by Daisuke Fujiwara. MR 815922, DOI 10.1007/978-1-4613-8590-5
  • K. Kodaira and D. C. Spencer, On deformations of complex analytic structures. I, II, Ann. of Math. (2) 67 (1958), 328–466. MR 112154, DOI 10.2307/1970009
  • C. LeBrun, Spaces of complex geodesics and related structures, D. Phil. Thesis, Oxford University, 1980.
  • Sergey A. Merkulov, Relative deformation theory and differential geometry, Twistor theory (Plymouth), Lecture Notes in Pure and Appl. Math., vol. 169, Dekker, New York, 1995, pp. 107–132. MR 1306960
  • Henrik Pedersen, Einstein-Weyl spaces and $(1,n)$-curves in the quadric surface, Ann. Global Anal. Geom. 4 (1986), no. 1, 89–120. MR 910557, DOI 10.1007/BF00132254
  • H. Pedersen and K. P. Tod, Three-dimensional Einstein-Weyl geometry, Adv. Math. 97 (1993), no. 1, 74–109. MR 1200290, DOI 10.1006/aima.1993.1002
  • Roger Penrose, Nonlinear gravitons and curved twistor theory, Gen. Relativity Gravitation 7 (1976), no. 1, 31–52. MR 439004, DOI 10.1007/bf00762011
Similar Articles
Bibliographic Information
  • Sergey Merkulov
  • Affiliation: School of Mathematics and Statistics, University of Plymouth, Plymouth, Devon PL4 8AA, United Kingdom
  • Address at time of publication: Department of Pure Mathematics, University of Glasgow, 15 University Gardens, Glasgow G12 8QW, United Kingdom
  • MR Author ID: 211022
  • ORCID: 0000-0001-9959-8185
  • Henrik Pedersen
  • Affiliation: Department of Mathematics and Computer Science, Odense University, Campusvej 55, 5230 Odense M, Denmark
  • Received by editor(s): April 12, 1994
  • Received by editor(s) in revised form: April 13, 1995
  • Communicated by: Christopher Croke
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 407-416
  • MSC (1991): Primary 32G10, 32L25, 53A15, 53B05, 53B10
  • DOI: https://doi.org/10.1090/S0002-9939-97-03408-4
  • MathSciNet review: 1328363