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B. Berndtsson - The curvature of (higher) direct images ; B. Berndtsson - The curvature of (higher) direct images: Complex analytic and differential geometry 2017

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  • معلومة اضافية
    • Contributors:
      Department of Mathematical Sciences; Chalmers University of Technology Göteborg -Göteborgs Universitet = University of Gothenburg (GU); Institut Fourier (IF); Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )
    • بيانات النشر:
      CCSD
    • الموضوع:
      2017
    • Collection:
      Université Grenoble Alpes: HAL
    • نبذة مختصرة :
      I will first discuss some earlier work on the curvature of direct images of adjoint line bundles under a smooth proper fibration, or more generally a surjective map and (maybe) some of its applications. Then I will present a general formula for the curvature of higher direct images. This contains as a special case (part of) the earlier work, and also generalizes results of Siu and Schumacher. (The second part is based on joint work with Mihai Paun and Xu Wang.)
    • الدخول الالكتروني :
      https://hal.science/medihal-01614938
      https://hal.science/medihal-01614938v1/document
      https://hal.science/medihal-01614938v1/file/berndtsson_cadg_06062017_hal.mp4
    • Rights:
      http://creativecommons.org/licenses/by-nc-nd/ ; info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.AC50427D