activity
20042026
most citedFoliated Structure of The Kuranishi Space and Isomorphisms of Deformation Families of Compact Complex Manifolds

11 citations · 21 across the 14 of their papers we have counts for

collaborators

17 papers

math.CV2026

Dolbeault-Hochster Theory of Polytopal LVM Manifolds

Ludmil Katzarkov, Kyoung-Seog Lee, Ernesto Lupercio +1

We compute the Dolbeault cohomology of minimally stable polytopal LVM manifolds using a finite curvature complex. Let be the indispensable weight block. A canonical exact seque…

math.CV2024

Geography of the Teichmüller stack

Laurent Meersseman

In this article, we describe the geography of the Teichmüller stack of \cite{LMStacks} and of one of its variants we introduce here, giving some answers to questions as: which poin…

math.DG2024

A Geometric Compactification Of The Moduli Stack Of Left Invariant Complex Structures On A Lie Group

Laurent Meersseman

We describe a geometric compactification of the moduli stack of left invariant complex structures on a fixed real Lie group or a fixed quotient. The extra points are CR structures…

math.SG2020

Quantum (Non-commutative) Toric Geometry: Foundations

Ludmil Katzarkov, Ernesto Lupercio, Laurent Meersseman +1

In this paper, we will introduce Quantum Toric Varieties which are (non-commutative) generalizations of ordinary toric varieties where all the tori of the classical theory are repl…

math.DG2019

Stability and holomorphic connections on vector bundles over LVMB manifolds

Indranil Biswas, Sorin Dumitrescu, Laurent Meersseman

We characterize all LVMB manifolds X such that the holomorphic tangent bundle TX is spanned at the generic point by a family of global holomorphic vector fields, each of them havin…

math.DG2018★ 3 cited

On the automorphism group of foliations with geometric transverse structure

Laurent Meersseman, Marcel Nicolau, Javier Ribon

Motivated by questions of deformations/moduli in foliation theory, we investigate the structure of some groups of diffeomorphisms preserving a foliation. We give an example of a $C…