Generic Initial Ideals, Graded Betti Numbers, andk-Lefschetz Properties
نویسندگان
چکیده
منابع مشابه
Linear Components and the Behavior of Graded Betti Numbers under the Transition to Generic Initial Ideals
Let K be a field, S a polynomial ring and E an exterior algebra over K, both in a finite set of variables. In this paper we study the graded Betti numbers of graded ideals in S and E. First, we prove that if the graded Betti number β ii+k(S/I) = β S ii+k(S/Gin(I)) for some i > 1 and k ≥ 0 then one has β qq+k(S/I) = β S qq+k(S/Gin(I)) for all q ≥ i, where I ⊂ S is a graded ideal. Second, we show...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2009
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927870802502753