activity
20042018
most citedFoliations modeling nonrational simplicial toric varieties

32 citations · 41 across the 7 of their papers we have counts for

collaborators

7 papers

math.SG2018★ 6 cited

Hirzebruch surfaces in a one-parameter family

Fiammetta Battaglia, Elisa Prato, Dan Zaffran

We introduce a family of spaces, parametrized by positive real numbers, that includes all of the Hirzebruch surfaces. Each space is viewed from two distinct perspectives. First, as…

math.AG2017

Simplicial toric varieties as leaf spaces

Fiammetta Battaglia, Dan Zaffran

We present a summary of some results from our article [BZ1] and other recent results on the so-called LVMB manifolds. We emphasize some features by taking a different point of view…

math.AG2015

On Fano threefolds with semi-free -actions, I

Qilin Yang, Dan Zaffran

Let be a Fano threefold and $\C ^* \times X\rightarrow X$ an algebraic action. Then has a -invariant Kähler structure and the corresponding -action admits an equi…

math.CV2011★ 32 cited

Foliations modeling nonrational simplicial toric varieties

Fiammetta Battaglia, Dan Zaffran

We establish a correspondence between simplicial fans, not necessarily rational, and certain foliated compact complex manifolds called LVMB-manifolds. In the rational case, Meersse…

math.CV2008★ 3 cited

Holomorphic Functions on Bundles Over Annuli

Dan Zaffran

We consider a family E_m(D,M) of holomorphic bundles constructed as follows: to any given M in GL_n(Z), we associate a "multiplicative automorphism" f of (C*)^n. Now let D be a f-i…

math.AG2005

Non-Kaehler manifolds and GIT-quotients

Stephanie Cupit-Foutou, Dan Zaffran

Bosio generalized the construction by Meersseman of a family of non-algebraic compact complex manifolds of any dimension. We establish a link between Bosio's construction and GIT q…