The absolutely Koszul property of Veronese subrings and Segre products |
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Authors: | Hop D Nguyen |
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Institution: | Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146 Genova, Italy |
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Abstract: | Absolutely Koszul algebras are a class of rings over which any finite graded module has a rational Poincaré series. We provide a criterion to detect non-absolutely Koszul rings. Combining the criterion with Macaulay2 computations, we identify large families of Veronese subrings and Segre products of polynomial rings which are not absolutely Koszul. In particular, we classify completely the absolutely Koszul algebras among Segre products of polynomial rings, when the base field has characteristic 0. |
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Keywords: | 13D02 13D05 |
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