L²-approach to the Saito vanishing theorem

2023/06/01 by Hyunsuk Kim, Kim, Hyunsuk
Mathematics · #14D07 #14F17 #14F25 #32J25 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2306.00313

openalex publication_date 2023/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an analytic proof of the Saito vanishing theorem using L²-methods, by going back to the original idea for the proof of the Kodaira vanishing theorem.

Related

• Kodaira-Saito vanishing and applications
• A Kawamata-Viehweg type formulation of the Logarithmic Akizuki-Nakano Vanishing Theorem
• On Saito's vanishing theorem
• Kodaira-type Vanishings via Non-abelian Hodge Theory
• On the Nakano vanishing theorem