Variation of parabolic cohomology and poincaré duality

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Dettweiler, Michael ; Wewers, Stefan:
Variation of parabolic cohomology and poincaré duality.
In: Séminaires et Congrès. Bd. 13 (2006) . - S. 145-164.

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Abstract

We continue our study of the variation of parabolic cohomology ([DW]) and derive an exact formula for the underlying Poincar ́e duality. As an illustration of our methods, we compute the monodromy of the Picard-Euler system and its invariant Hermitian form, reproving a classical theorem of Picard.

Abstract in weiterer Sprache

On continue l’ ́etude de la variation de la cohomologie parabolique commenc ́ee dans [DW]. En particulier, on donne des formules pour l’accouplement de Poincar ́e sur la cohomologie parabolique, et on calcule la monodromie du syst`eme de Picard-Euler, confirmant un r ́esultat classique de Picard.