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Castelnuovo-Mumford regularity and extended degree
Author(s):
Maria Evelina
Rossi;
Ngô
Viêt
Trung;
Giuseppe
Valla
Journal:
Trans. Amer. Math. Soc.
355
(2003),
1773-1786.
MSC (2000):
Primary 13A30, 13D45
Posted:
January 13, 2003
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Abstract:
Our main result shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring  is effectively bounded by the dimension and any extended degree of  . From this it follows that there are only a finite number of Hilbert-Samuel functions of local rings with given dimension and extended degree.
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Additional Information:
Maria Evelina
Rossi
Affiliation:
Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16132 Genova, Italy
Email:
rossim@dima.unige.it
Ngô
Viêt
Trung
Affiliation:
Institute of Mathematics, Box 631, Bò Hô, 10000 Hanoi, Vietnam
Email:
nvtrung@thevinh.ncst.ac.vn
Giuseppe
Valla
Affiliation:
Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16132 Genova, Italy
Email:
valla@dima.unige.it
DOI:
10.1090/S0002-9947-03-03185-4
PII:
S 0002-9947(03)03185-4
Received by editor(s):
August 9, 2002
Posted:
January 13, 2003
Additional Notes:
The first and third authors are partially supported by MPI of Italy. The second author is partially supported by the National Basic Research Program of Vietnam
Copyright of article:
Copyright
2003,
American Mathematical Society
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