Hirzebruch–Milnor classes of complete intersections

Laurentiu Maxim,Morihiko Saito,Jörg Schürmann

doi:10.1016/j.aim.2013.04.001

Hirzebruch–Milnor classes of complete intersections

Laurentiu Maxim, Morihiko Saito + Show 1 more

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https://doi.org/10.1016/j.aim.2013.04.001

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Journal: Advances in Mathematics	Publication Date: Apr 25, 2013
Citations: 34	License type: publisher-specific-oa

Affiliation: University of Wisconsin–Madison, Kyoto University, University of Münster

#Classes Of Intersections #Hirzebruch Classes + Show 4 more

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Abstract

We prove a new formula for the Hirzebruch–Milnor classes of global complete intersections with arbitrary singularities describing the difference between the Hirzebruch classes and the virtual ones. This generalizes a formula for the Chern–Milnor classes in the hypersurface case that was conjectured by S. Yokura and was proved by A. Parusiński and P. Pragacz. It also generalizes a formula of J. Seade and T. Suwa for the Chern–Milnor classes of complete intersections with isolated singularities.

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