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

100%

Yamada T.

Complex Manifolds

2017

tom 4

nr 1

73-83

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.

Extremely non-complex Banach spaces

75%

Martín M., Merí J.

Open Mathematics

2011

tom 9

nr 4

797-802

A Banach space X is said to be an extremely non-complex space if the norm equality ∥Id +T 2∥ = 1+∥T 2∥ holds for every bounded linear operator T on X. We show that every extremely non-complex Banach space has positive numerical index, it does not have an unconditional basis and that the infimum of diameters of the slices of its unit ball is positive.

Ograniczanie wyników

1 Complex Manifolds

1 Open Mathematics

1 Martín M.

1 Merí J.

1 Yamada T.

1 2017

1 2011

Wyniki wyszukiwania

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

Extremely non-complex Banach spaces