Fiber integration on the Demailly tower

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.

22 pages, to appear in Annales de l'Institut Fourier

References in corpus (3)

• A survey on hyperbolicity of projective hypersurfaces
• Families of hypersurfaces of large degree
• Thom polynomials of Morin singularities and the Green-Griffiths-Lang conjecture

Cited by in corpus (1)

• Effective algebraic degeneracy of entire curves in complements of smooth projective hypersurfaces