Betti numbers of Koszul algebras defined by four quadrics
نویسندگان
چکیده
Let I be an ideal generated by quadrics in a standard graded polynomial ring S over field. A question of Avramov, Conca, and Iyengar asks whether the Betti numbers R = / can bounded above binomial coefficients on minimal number generators if is Koszul. This has been answered affirmatively for Koszul algebras defined three almost complete intersections with any generators. We give strong affirmative answer to case four completely determining tables height two ideals defining algebras.
منابع مشابه
Koszul algebras and Gröbner bases of quadrics
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2021
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2020.106504