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- W2951755552 abstract "Bounds for the Castelnuovo-Mumford regularity and Hilbert coefficients are given in terms of the arithmetic degree (if the ring is reduced) or in terms of the defining degrees. From this it follows that there exists only a finite number of Hilbert functions associated to reduced algebras over an algebraically closed field with a given arithmetic degree and dimension. A good bound is also given for the Castelnuovo-Mumford regularity of initial ideals which depends neither on term orders nor on the coordinates, and holds for any field." @default.
- W2951755552 created "2019-06-27" @default.
- W2951755552 creator A5063664497 @default.
- W2951755552 date "2006-08-04" @default.
- W2951755552 modified "2023-09-27" @default.
- W2951755552 title "Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals" @default.
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