On representation theory and the cohomology rings of irreducible compact hyperkähler manifolds of complex dimension four

• Autorzy: Daniel Guan
• Języki publikacji: EN

Abstrakty

EN

In this paper, we continue the study of the possible cohomology rings of compact complex four dimensional irreducible hyperkähler manifolds. In particular, we prove that in the case b 2=7, b 3=0 or 8. The latter was achieved by the Beauville construction.

Słowa kluczowe

EN

Hyperkähler; cohomology rings; Betti numbers; holomorphic symplectic; Lie group; Lefschetz triple; 14F25; 14M99; 53C26; 53D35; 32Q55

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 4
• Strony: 661-669

Daty

wydano

2003-12-01

online

2003-12-01

Twórcy

autor

Daniel Guan

• The University of California at Riverside

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475186