000131381 001__ 131381 000131381 005__ 20240208155436.0 000131381 0247_ $$2doi$$a10.5427/jsing.2012.4g 000131381 0248_ $$2sideral$$a98883 000131381 037__ $$aART-2012-98883 000131381 041__ $$aeng 000131381 100__ $$0(orcid)0000-0002-6750-8971$$aMarco Buzunariz, Miguel Angel 000131381 245__ $$aA polynomial generalization of the Euler characteristic for algebraic sets 000131381 260__ $$c2012 000131381 5203_ $$aWe present a method to compute the Euler characteristic of an algebraic subset of C^n. This method relies on classical tools such as Gröbner basis and primary decomposition. The existence of this method allows us to define a new invariant for such varieties. This invariant is related to the problem of counting rational points over finite fields. In an appendix, Jørgen Vold Rennemo proves the relation between this invariant and the Chern-Schwartz-MacPherson class of the variety. 000131381 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000131381 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000131381 773__ $$g4 (2012), 114-130$$tJournal of singularities$$x1949-2006 000131381 8564_ $$s386012$$uhttps://zaguan.unizar.es/record/131381/files/texto_completo.pdf$$yVersión publicada 000131381 8564_ $$s1963956$$uhttps://zaguan.unizar.es/record/131381/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000131381 909CO $$ooai:zaguan.unizar.es:131381$$particulos$$pdriver 000131381 951__ $$a2024-02-08-14:37:29 000131381 980__ $$aARTICLE