Fiber integration on the Demailly tower
Complex Variables
2015-03-30 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.1312.0109,
title = {Fiber integration on the Demailly tower},
author = {Lionel Darondeau},
journal= {arXiv preprint arXiv:1312.0109},
year = {2015}
}
Comments
22 pages, to appear in Annales de l'Institut Fourier