Hodge theory for twisted differentials

• Autorzy: Daniele Angella , Hisashi Kasuya
• Języki publikacji: EN

Abstrakty

EN

We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.

Słowa kluczowe

EN

twisted differential; local system; Dolbeault cohomology; Bott-Chern cohomology; Hodge decomposition; solvmanifolds; class C of Fujiki

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2014
• Tom: 1
• Numer: 1

Daty

otrzymano

2014-08-22

zaakceptowano

2014-11-09

online

2014-11-29

Twórcy

autor

Daniele Angella

• Istituto Nazionale di Alta Matematica
  (Current address) Dipartimento di Matematica e Informatica, Università di Parma, Parco Area delle Scienze 53/A, 43124, Parma,
  Italy

autor

Hisashi Kasuya

• Department of Mathematics, Tokyo Institute of Technology, 1-12- 1-H-7, O-okayama,
  Meguro, Tokyo 152-8551, Japan

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Identyfikatory

DOI

10.2478/coma-2014-0005