Details:
Title  Testing the logarithmic comparison theorem for free divisors.  Author(s)  Francisco Jesus CastroJimenez, Jose Maria UchaEnriquez  Type  Article in Journal  Abstract  We propose in this work a computational criterion to test if a free divisor D ⊂ Cn verifies the Logarithmic Comparison Theorem (LCT); that is, whether the complex of logarithmic differential forms computes the cohomology of the complement of D in Cn .
For Spencer free divisors D ≡ (f = 0), we solve a conjecture about the generators of the annihilating ideal of 1/f and make a conjecture on the nature of Euler homogeneous free divisors which verify LCT. In addition, we provide examples of free divisors defined by weighted homogeneous polynomials that are not locally quasihomogeneous.  Keywords  de Rham cohomology, Logarithmic Comparison Theorem, free divisors, Grobner bases  ISSN  10586458; 1944950X/e 
URL 
http://www.tandfonline.com/doi/abs/10.1080/10586458.2004.10504553 
Language  English  Journal  Exp. Math.  Volume  13  Number  4  Pages  441449  Publisher  Taylor & Francis, Philadelphia, PA  Year  2004  Edition  0  Translation 
No  Refereed 
No 
