Special handlebody decompositions of simply connected algebraic surfaces

Mandelbaum, Richard

doi:10.1090/S0002-9939-1980-0577774-X

Special handlebody decompositions of simply connected algebraic surfaces
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Proc. Amer. Math. Soc. 80 (1980), 359-362 Request permission

Abstract:

In this article we prove that any nonsingular complete-intersection surface admits a handlebody decomposition with no 1- and 3-handles. This generalizes results of Rudolph, Harer and Akbuluf on hypersurfaces of ${\mathbf {C}}{{\mathbf {P}}^3}$.

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