131381 20240208155436.0 doi 10.5427/jsing.2012.4g sideral 98883 ART-2012-98883 eng Marco Buzunariz, Miguel Angel (orcid)0000-0002-6750-8971 A polynomial generalization of the Euler characteristic for algebraic sets 2012 We present a method to compute the Euler characteristic of an algebraic subset of C^n. This method relies on classical tools such as Gröbner basis and primary decomposition. The existence of this method allows us to define a new invariant for such varieties. This invariant is related to the problem of counting rational points over finite fields. In an appendix, Jørgen Vold Rennemo proves the relation between this invariant and the Chern-Schwartz-MacPherson class of the variety. info:eu-repo/semantics/closedAccess All rights reserved http://www.europeana.eu/rights/rr-f/ info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 4 (2012), 114-130 Journal of singularities 1949-2006 386012 http://zaguan.unizar.es/record/131381/files/texto_completo.pdf Versión publicada 1963956 http://zaguan.unizar.es/record/131381/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:131381 articulos driver 2024-02-08-14:37:29 ARTICLE