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On a class of degenerate complex manifolds

Bahraini, A ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1016/j.crma.2007.01.009
  3. Publisher: 2007
  4. Abstract:
  5. We study a class of compactifications of open complex analytic surfaces which appear naturally in the study of the singularities of Calabi-Yau metrics. We obtain a new degenerate Hodge theory as well as a degenerate Dolbeault lemma for these surfaces. To cite this article: A. Bahraini, C. R. Acad. Sci. Paris, Ser. I 344 (2007). © 2007 Académie des sciences
  6. Keywords:
  7. Carnot group ; Sub-Riemannian geometry ; Sub-Laplacian
  8. Source: Comptes Rendus Mathematique ; Volume 344, Issue 6 , 2007 , Pages 373-376 ; 1631073X (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S1631073X07000313