Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds

• Autorzy: Takumi Yamada
• Języki publikacji: EN

Abstrakty

EN

Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t. We can construct different left-invariant complex structures on one nilpotent Lie group by using the complexification and the scalar restriction. We investigate relationships to Hodge numbers of associated compact complex nilmanifolds.

Słowa kluczowe

EN

Nilmanifold; Dolbeault cohomology group; Complex structure

Kategorie tematyczne

• 22E25: Nilpotent and solvable Lie groups
• 53C30: Homogeneous manifolds

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 73-83

Daty

wydano

2017-02-23

otrzymano

2017-03-10

zaakceptowano

2017-05-25

online

2017-06-14

Twórcy

autor

Takumi Yamada

• , 690-8504,

Identyfikatory

DOI

10.1515/coma-2017-0006