most citedDeformation of 2-step Nilmanifolds with Abelian Complex Structures

8 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2005

Stability of Abelian Complex Structures

Sergio Console, Anna Fino, Yat-Sun Poon

Let be a nilmanifold endowed with an invariant complex structure. We prove that Kuranishi deformations of abelian complex structures are all invariant complex s…

math.DG2004★ 8 cited

Deformation of 2-step Nilmanifolds with Abelian Complex Structures

C. McLaughlin, H. Pedersen, Y. S. Poon +1

We develop deformation theory for abelian invariant complex structures on a nilmanifold, and prove that in this case the invariance property is preserved by the Kuranishi process.…

math.DG2004★ 2 cited

Extended Deformation of Kodaira Surfaces

Yat Sun Poon

We present the extended Kuranishi space for Kodaira surface as a non-trivial example to Kontsevich and Barannikov's extended deformation theory. We provide a non-trivial example of…