Projective modules over discrete Hodge algebras

Let A be a Noetherian commutative ring. Assume that projective modules of rank r over polynomial extensions of A are extended from A. Then projective modules of rank r over discrete Hodge A-algebras are also extended from A. This result extends a result of T. Vorst.

💡 Research Summary

The paper investigates the behavior of projective modules over a class of commutative algebras known as discrete Hodge algebras. Let A be a Noetherian commutative ring. A discrete Hodge A‑algebra is a quotient of a polynomial ring A