Degree formula for connective K-theory

We apply the degree formula for connective $K$-theory to study rational contractions of algebraic varieties. Examples include rationally connected varieties and complete intersections.

💡 Research Summary

The paper establishes a comprehensive degree formula for connective K‑theory (CK) and demonstrates how this formula can be used to control rational contractions of algebraic varieties. Connective K‑theory, introduced by Levine and Morel, interpolates between algebraic cobordism and Grothendieck’s K‑theory; its coefficient ring in degree zero is the polynomial ring ℤ