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Singularity invariants related to Milnor fibers: survey
Singularity invariants Milnor fibers survey
2011/1/21
This brief survey of some singularity invariants related to Milnor fibers should serve as a quick guide to references. We attempt to place things into a wide geometric context while leaving technicali...
Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers
Motivic Milnor fibers complete intersection varieties their virtual Betti numbers
2010/11/26
We study the Jordan normal forms of the local and global monodromies over complete intersection subvarieties of Cn by using the theory of motivic Milnor fibers.The results will be explicitly described...
Derivations, generic formal fibers and bad Noetherian rings
Derivations generic formal fibers bad Noetherian rings
2010/12/9
We consider a circle of ideas involving differential algebra, local Noetherian rings, and their generic formal fibers. Connecting these ideas gives rise to what we term a “twisted” subring R of a ring...
Powers of ideals and the cohomology of stalks and fibers of morphisms
Castelnuovo-Mumford regularity powers of ideals Rees algebras
2010/12/1
We first provide here a very short proof of a refinement of a the-orem of Kodiyalam and Cutkosky, Herzog and Trung on the regularity of powers of ideals.