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On the Chern Number of an Ideal

2009/06/04 by Mousumi Mandal, Mandal, Mousumi, J. K. Verma +1
Computer Science · Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.AC #math.AG #msc:13D07 #msc:13D40 #msc:13H05

paper · pdf · doi:10.48550/arxiv.0906.0909

6 pages

arxiv created 2009/06/04 · arxiv updated 2009/12/01

Abstract

We settle the negativity conjecture of Vasconcelos for the Chern number of an ideal in certain unmixed quotients of regular local rings by explicit calculation of the Hilbert polynomials of all ideals generated by systems of parameters.

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