The \({\bar \partial}\)-operator on algebraic curves

DOI10.1007/BF02097104zbMath0708.32007MaRDI QIDQ920250

Herbert Schröder, Norbert Peyerimhoff, Jochen Brüning

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

resolution of singularitiesalgebraic curves(partial d)-bar-operatorL\({}^ 2\)-arithmetic genus

Mathematics Subject Classification ID

Modifications; resolution of singularities (complex-analytic aspects) (32S45) Curves in algebraic geometry (14H99)

Related Items (7)

Local geometry of singular real analytic surfaces ⋮ A proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformation ⋮ Degenerating Hermitian metrics and spectral geometry of the canonical bundle ⋮ On the \(L^2\)-\(\overline{\partial}\)-cohomology of certain complete Kähler metrics ⋮ On the L2-Poincaré duality for incomplete Riemannian manifolds: A general construction with applications ⋮ On the Laplace–Beltrami operator on compact complex spaces ⋮ Kähler-Hodge theory for conformal complex cones

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• L\({}^ 2\)-index theorems on certain complete manifolds
• The \(L_ 2-{\bar \partial}\)-cohomology of an algebraic surface

This page was built for publication: The \({\bar \partial}\)-operator on algebraic curves