Descent for algebraic cobordism

TL;DR

This paper proves the exactness of a descent sequence for algebraic cobordism groups, extending known results for Chow groups and K-theory to a broader algebraic context.

Contribution

It establishes the exactness of a descent sequence for algebraic cobordism, a significant step in understanding its structural properties.

Findings

Proves exactness of descent sequence for algebraic cobordism.

Extends known descent results from Chow groups and K-theory.

Provides foundational results for algebraic cobordism theory.

Abstract

We prove the exactness of a descent sequence relating the algebraic cobordism groups of a scheme and its envelopes. Analogous sequences for Chow groups and K-theory were previously proved by Gillet.