Factorial extensions of regular local rings and invariants of finite groups.
Fiber cones and the integral closure of ideals.
Let (R,m) be a Noetherian local ring and let I C R be an ideal. This paper studies the question of when m I is integrally closed. Particular attention is focused on the case R is a regular local ring and I is a reduced ideal. This question arose through a question posed by Eisenbud and Mazur on the existence of evolutions.
Formes quadratiques sur les anneaux semi-locaux réguliers