First-order deformation tensors over compact Riemann surfaces

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Abstract

The moduli problem for germs of codimension one, smooth embeddings of a compact Riemann surface of general type with a fixed positive line bundle as the normal bundle is studied. The formal tangent space of the moduli space of deformation tensors at the origin and first order extensible CR-deformations on the circle bundle are found, then we establish a one-to-one correspondence between these objects.

Original languageEnglish
Pages (from-to)43-59
Number of pages17
JournalJournal fur die Reine und Angewandte Mathematik
Issue number565
Publication statusPublished - 2003 Dec 1

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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