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math.DG2010
Desingularizing isolated conical singularities: Uniform estimates via weighted Sobolev spaces
Tommaso Pacini
We define a very general "parametric connect sum" construction which can be used to eliminate isolated conical singularities of Riemannian manifolds. We then show that various impo…
math.DG2010★ 10 cited
Special Lagrangian conifolds, I: Moduli spaces
Tommaso Pacini
We discuss the deformation theory of special Lagrangian (SL) conifolds in complex space C^m. Conifolds are a key ingredient in the compactification problem for moduli spaces of com…
math.DG2010
Analytic and elliptic estimates on non-compact manifolds via weighted Sobolev spaces
Tommaso Pacini
This paper is a self-contained presentation of certain aspects of the theory of weighted Sobolev spaces and elliptic operators on non-compact Riemannian manifolds. Specifically, we…