Characteristic classes of complex hypersurfaces - Mathematics > Algebraic TopologyReportar como inadecuado




Characteristic classes of complex hypersurfaces - Mathematics > Algebraic Topology - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: The Milnor-Hirzebruch class of a locally complete intersection X in analgebraic manifold M measures the difference between the Poincare dual of theHirzebruch class of the virtual tangent bundle of X and, respectively, theBrasselet-Schuermann-Yokura homology Hirzebruch class of X. In this note, wecalculate the Milnor-Hirzebruch class of a globally defined algebraichypersurface X in terms of the corresponding Hirzebruch invariants of singularstrata in a Whitney stratification of X. Our approach is based on Schuermann-sspecialization property for the motivic Hirzebruch class transformation ofBrasselet-Schuermann-Yokura. The present results also yield calculations ofTodd, Chern and L-type characteristic classes of hypersurfaces.



Autor: Sylvain E. Cappell, Laurentiu Maxim, Joerg Schuermann, Julius L. Shaneson

Fuente: https://arxiv.org/







Documentos relacionados