2013/11/30 by Lionel Darondeau, Darondeau, Lionel · 1 citation
Mathematics · #14C17 #14Q20 #32Q45 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Complex Variables (math.CV) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1312.0109
openalex publication_date 2013/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The goal of this work is to provide a fiber integration formula on the Demailly tower, that avoids step-by-step elimination of horizontal cohomology classes, and that yields computational effectivity. A natural twist of the Demailly tower is introduced and a recursive formula for the total Segre class at k-th level is obtained. Then, by interpreting single Segre classes as coefficients, an iterated residue formula is derived.