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Rigid resolutions and big Betti numbers |
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| Authors: | |
| Institution: | (1) DIMA - Dipartimento di Matematica, Via Dodecaneso 35, 16146 Genova, Italy;(2) Fachbereich Mathematik und Informatik, Universität Duisburg-Essen, 45117 Essen, Germany;(3) Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, 560-0043 Osaka, Japan |
| Abstract: | The Betti-numbers of a graded ideal I in a polynomial ring and the Betti-numbers of its generic initial ideal Gin(I) are compared. In characteristic zero it is shown that if these Betti-numbers coincide in some homological degree, then they coincide in all higher homological degrees. We also compare the Betti-numbers of componentwise linear ideals which are contained in each other and have the same Hilbert polynomial. |
| Keywords: | 13D02 13P10 13D40 13A02 |
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