Matthew Dupraz

A Riemann-Roch theorem for Frobenius quotients

We construct two families of commutative Frobenius rings: discrete and continuous Frobenius quotients $K_f$, resp. $A_g$, which are defined as the quotients of shift, resp. differential operator algebras by the annihilator of a polynomial. These constructions model the numerical $K$-rings and Chow rings of smooth compl...