Holonomies and the slope inequality of Lefschetz fibrations

Miyachi, Hideki; Shiga, Hiroshige

doi:10.1090/S0002-9939-2010-10563-4

Holonomies and the slope inequality of Lefschetz fibrations
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by Hideki Miyachi and Hiroshige Shiga

Proc. Amer. Math. Soc. 139 (2011), 1299-1307

DOI: https://doi.org/10.1090/S0002-9939-2010-10563-4

Published electronically: October 4, 2010

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Abstract:

In this paper, we consider two necessary conditions: the irreducibility of the holonomy group and the slope inequality for which a Lefschetz fibration over a closed orientable surface is a holomorphic fibration. We show that these two conditions are independent in the sense that neither one implies the other.

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