Hodge theory of degenerations, (I): consequences of the decomposition theorem

• Matt Kerr ^[2] ; Radu Laza ^[1] ; Morihiko Saito ^[3]
  1. [1] Stony Brook University

     Stony Brook University

     Town of Brookhaven, Estados Unidos

     
  2. [2] Washington University, USA
  3. [3] RIMS Kyoto University, Japón

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 4, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00675-w
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• Resumen

  • We use the Decomposition Theorem to derive several generalizations of the Clemens–Schmid sequence, relating asymptotic Hodge theory of a degeneration to the mixed Hodge theory of its singular fiber(s).