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Hirzebruch–Milnor classes of complete intersections |
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| Authors: | Laurentiu Maxim Morihiko Saito Jörg Schürmann |
| Institution: | 1. Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, WI 53706-1388, USA;2. RIMS Kyoto University, Kyoto 606-8502, Japan;3. Mathematische Institut, Universität Münster, Einsteinstr. 62, 48149 Münster, Germany |
| 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. |
| Keywords: | 32S20 14B05 14J17 32S25 32S35 32S40 14C17 14C30 14M10 32S30 32S55 58K10 |
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