TY - JOUR
T1 - CASTELNUOVO‐Regularität und HILBERTreihen
AU - Nagel, Uwe
PY - 1989
Y1 - 1989
N2 - Let A be an equidimensional locally Cohen‐Macaulay graded k‐algebra. Following [16] we have upper bounds for Castelnuovo's regularity of A (see [16], main theorem und theorem 1.). The aim of this paper is to characterize the equalities of these bounds and Castelnuovo's regularity by using the theory of Hilbert series. For this reason the inequalities of [16] are new proved by applying our methods. Moreover, we improve and extend main results and investigations of [11], [7], [18], [14], [16]. For monomial ideals the conjecture of D. BAYER and M. STILLMAN [4] is proved.
AB - Let A be an equidimensional locally Cohen‐Macaulay graded k‐algebra. Following [16] we have upper bounds for Castelnuovo's regularity of A (see [16], main theorem und theorem 1.). The aim of this paper is to characterize the equalities of these bounds and Castelnuovo's regularity by using the theory of Hilbert series. For this reason the inequalities of [16] are new proved by applying our methods. Moreover, we improve and extend main results and investigations of [11], [7], [18], [14], [16]. For monomial ideals the conjecture of D. BAYER and M. STILLMAN [4] is proved.
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U2 - 10.1002/mana.19891420104
DO - 10.1002/mana.19891420104
M3 - Article
AN - SCOPUS:25144485255
SN - 0025-584X
VL - 142
SP - 27
EP - 43
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
IS - 1
ER -