Koszul homology and syzygies of Veronese subalgebras
Autor(en): | Bruns, Winfried Conca, Aldo Roemer, Tim |
Stichwörter: | Mathematics; REGULARITY | Erscheinungsdatum: | 2011 | Herausgeber: | SPRINGER HEIDELBERG | Journal: | MATHEMATISCHE ANNALEN | Volumen: | 351 | Ausgabe: | 4 | Startseite: | 761 | Seitenende: | 779 | Zusammenfassung: | A graded K-algebra R has property N (p) if it is generated in degree 1, has relations in degree 2 and the syzygies of order a parts per thousand currency sign p on the relations are linear. The Green-Lazarsfeld index of R is the largest p such that it satisfies the property N (p) . Our main results assert that (under a mild assumption on the base field) the cth Veronese subring of a polynomial ring has Green-Lazarsfeld index a parts per thousand yen c 1. The same conclusion also holds for an arbitrary standard graded algebra, provided c >> 0. |
ISSN: | 00255831 | DOI: | 10.1007/s00208-010-0616-1 |
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