1998/02/01 by Philip Foth, Foth, Philip
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Algebraic Geometry (math.AG) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Mathematical functions and polynomials #math.AG #math.DG
paper · pdf · doi:10.48550/arxiv.math/9802005
12 pages LaTeX
arxiv created 1998/02/01 · openalex publication_date 1998/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given a compact Kaehler manifold, we consider the complement U of a divisor with normal crossings and a unitary local system V on it. We consider a differential graded Lie algebra (DGLA) of forms with holomorphic logarithmic singularities and vanishing residues. We construct a spectral sequence corresponding to the anti-holomorphic filtration of this algebra and compute its E1 term. This spectral sequence converges to the L2 cohomology H2*(U, V). We show that this DGLA is formal, although it does not always satisfy to the d'd''-Lemma.