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The asymptotic behavior of graded Betti numbers of powers of homogeneous ideals in a polynomial ring over a field has recently been reviewed. We extend quasi-polynomial behavior of graded Betti numbers of powers of homogenous ideals to $\ZZ$-graded algebra over Noetherian local ring. Furthermore our main result treats the Betti table of filtrations which is finite or integral over the Rees algebra.
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참고문헌 (15)
참고문헌 신청
Bagheri Amir / 2013 / The eventual shape of Betti tables of powers of ideals / Mathematical Research Letters 20(6):1033~1046
Amir Bagheri / 2020 / Graded Betti numbers of powers of ideals / Journal of Commutative Algebra 12(2):153~169
A. Barvinok / 1999 / New perspectives in algebraic combinatorics / Cambridge Univ. Press :91~147
N. Bourbaki / 1972 / Commutative Algebra / Addison Wesley
M. Brion / 1988 / Points entiers dans les poly edres convexes / Ann. Sci. Ecole Norm. Sup 21(4):653~663
Amir Bagheri / 2020 / Graded Betti numbers of powers of ideals / Journal of Commutative Algebra 12(2):153~169
A. Barvinok / 1999 / New perspectives in algebraic combinatorics / Cambridge Univ. Press :91~147
N. Bourbaki / 1972 / Commutative Algebra / Addison Wesley
M. Brion / 1988 / Points entiers dans les poly edres convexes / Ann. Sci. Ecole Norm. Sup 21(4):653~663
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