The Laplacian on algebraic threefolds with isolated singularities
type: Item
instance of: scholarly article
title: The Laplacian on algebraic threefolds with isolated singularities
zbMATH Open document ID: 0830.35028
DOI: 10.1007/BF02867115
author: Vishwambhar Pati
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 1996-01-09T00:00:00Z
review text: Consider a complex projective algebraic threefold \(X\) with isolated singularities. Let \(Y\) the smooth part of \(X\); consider on \(Y\) the induced Fubini-study metric \(g\) and the corresponding Laplacian on \(L^2\)-functions with respect to \(g\). The main result is that on \(Y\) the Laplacian is selfadjoint. The author analyses very carefully the induced Fubini metric in a neighborhood of the singular set using several techniques: resolution of singularities, embedded points, curve blow-ups.
reviewed by: F.Gherardelli
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 14J30
Mathematics Subject Classification ID: 35A20
zbMATH DE Number: 695818
zbMATH Keywords: algebraic threefold with isolated singularities
zbMATH Keywords: Fubini-study metric
zbMATH Keywords: resolution of singularities
zbMATH Keywords: curve blow-ups
MaRDI profile type: Publication
cites work: Q3344779
cites work: Spectral geometry of singular Riemannian spaces
cites work: \(L^ 2\)-cohomology of normal algebraic surfaces. I
cites work: On the heat operators of normal singular algebraic surfaces
cites work: The heat trace on singular algebraic threefolds
description: scientific article; zbMATH DE number 695818