Title  A polynomial generalization of the Euler characteristic for algebraic sets (with an appendix by J. V. Rennemo). 
Author(s)  Miguel A. MarcoBuzunariz 
Type  Article in Journal 
Abstract  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 ChernSchwartzMacPherson class of the variety. 
ISSN  19492006/e 
File 

URL 
http://www.journalofsing.org/volume4/article7.html 
Language  English 
Journal  J. Singul. 
Volume  4 
Pages  114130 
Publisher  Worldwide Center of Mathematics, Cambridge, MA 
Year  2012 
Edition  0 
Translation 
No 
Refereed 
No 