A Corresondence between Hilbert Polynomial and Chern Polynomials over Projective Spaces
C-Y. Jean Chan
Abstract
We construct isomorphisms of the Grothendieck group of a projective space and other groups related to Hilbert polynomials and total Chern classes. This is inspired by a correspondence between Chern and Hilbert polynomials stated in Eisenbud's Commutative Algebra. The equivalence of these two polynomials over the projective spaces is also discussed in this paper.
Create a lesson
Related papers
Counterexamples to Minkowski-type inequalities and the Rees converse for modules via mixed Buchsbaum-Rim Multiplicities
V. H. Jorge Perez
A complex associated to a family of ideals and applications to subspace arrangements
Aldo Conca, Manolis C. Tsakiris
On the Isotropy Groups of Locally Finite Derivations of Laurent Polynomial Algebras
Anderson Porto, Marcelo Veloso
Hook algebras and determinantal varieties
Steven V Sam, Keller VandeBogert, Jerzy Weyman
Polycubes and polycube ideals
Ayesha Asloob Qureshi, Dharm Veer
Derived functors and Hilbert polynomials over dominant Cohen-Macaulay rings
Tony J. Puthenpurakal