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Fiber integration on the Demailly tower

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.

preprint2015arXivOpen access
Lionel Darondeau
math.CVmath.AG
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Lionel Darondeau

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