Variation of local systems and parabolic cohomology

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Given a family of local systems on a punctured Riemann sphere, with moving singularities, its first parabolic cohomology is a local system on the base space. We study this situation from different points of view. For instance, we derive universal formulas for the monodromy of the resulting local system. We use a particular example of our construction to prove that the simple groups $\PSL_2(p^2)$ admit regular realizations over the field $\QQ(t)$ for primes $p\not\equiv 1,4,16\mod{21}$. Finally, we compute the monodromy of the Euler-Picard equation, reproving a classical result of Picard.
28 pages, 1 figure

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Algebraic Geometry, Number Theory, 14F05; 14H30, 12F12

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http://salesiana.dossiersoluciones.com/handle/123456789/68801

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310139
 http://arxiv.org/abs/math/0310139

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arXiv