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arXiv · 2610.26481

Low dimensional C-spaces

Jorge Lauret·Facundo Montedoro
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Abstract

We give the classification of C-spaces (i.e., compact homogeneous spaces admitting an invariant complex structure), up to finite cover and equivariant diffeomorphism, of dimension 6, 8 and 10. The conditions for the existence of a balanced, pluriclosed, CYT and LCK Hermitian metric are established for dimensions 6 and 8.

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Jorge Lauret, Facundo Montedoro. 2026-10-19. Low dimensional C-spaces. https://arxiv.org/abs/2610.26481

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