131384 20240208155436.0 doi 10.1080/00927870903366918 sideral 102659 ART-2011-102659 eng Marco Buzunariz, Miguel Angel (orcid)0000-0002-6750-8971 Graded Betti Numbers of the Logarithmic Derivation Module 2011 Let Q ¿ x1 xn = S be a homogeneous polynomial of degree d. The freeness of the logarithmic derivation module, DQ, and of its natural generalizations has been widely studied. In the free case, DQ n i=1 S-di, where the di’s are the exponents of the module; and as a direct consequence of the Saito–Ziegler criterion, the formula d = i di holds. In this article, we give a generalization of this formula in the non-free case. Moreover, we show that an equivalent formula is also true in the quasi-homogeneous case, and show to what extent it can be generalized for arbitrary polynomials. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E15 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 0.347 2011 MATHEMATICS 235 / 289 = 0.813 2011 Q4 T3 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Martin-Morales, Jorge (orcid)0000-0002-6559-4722 38, 11 (2011), 4348-4361 Commun. Algebra COMMUNICATIONS IN ALGEBRA 0092-7872 234658 http://zaguan.unizar.es/record/131384/files/texto_completo.pdf Postprint 1329663 http://zaguan.unizar.es/record/131384/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:131384 articulos driver 2024-02-08-14:37:40 ARTICLE