A bound on the projective dimension of three cubics

• Autores: Bahman Engheta
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 45, Nº 1, 2010, págs. 60-73
• Idioma: inglés
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• Resumen

  • We show that given any polynomial ring R over a field and any ideal JR which is generated by three cubic forms, the projective dimension of R/J is at most 36. We also settle the question of whether ideals generated by three cubic forms can have projective dimension greater than 4, by constructing one with projective dimension equal to 5.