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Divisorial linear algebra over normal affine semigroup rings
Algebra & Discrete Mathematics| Speaker: | Winfried Bruns, Universitat Osnabrueck Germany |
| Location: | 0 Kerr |
| Start time: | Fri, Feb 28 2003, 12:10PM |
Description
In joint work with J. Gubeladze we have explored the ``linear algebra''
properties of divisorial ideals over normal semigroup rings. In invariant
theory these ideals appear as modules of semi-invariants of the actions of
algebraic tori. The properties and invariants to be discussed are, among
other things, the Cohen-Macaulayness and the number of generators. In
particular we show that there exist, up to isomorphism, only finitely many
Cohen-Macaulay (divisorial) ideals.