Deformations via Dimension Theory

نویسنده

  • BRIAN OSSERMAN
چکیده

We show that standard arguments for deformations based on dimension counts can also be applied over a (not necessarily Noetherian) valuation ring A of rank 1. Key intermediate results are a principal ideal theorem for schemes of finite type over A, and a theorem on subadditivity of intersection codimension for schemes smooth over A.

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تاریخ انتشار 2009