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math.DG2016
Holomorphic Morse inequalities for orbifolds
Martin Puchol
We prove that Demailly's holomorphic Morse inequalities hold true for complex orbifolds by using a heat kernel method. Then we introduce the class of Moishezon orbifolds and as an…
math.DG2016★ 2 cited
Scattering Matrix and Analytic Torsion
Martin Puchol, Yeping Zhang, Jialin Zhu
For a compact manifold, which has a part isometric to a cylinder of finite length, we consider an adiabatic limit procedure, in which the length of the cylinder tends to infinity.…