Details:
Title | Testing the logarithmic comparison theorem for free divisors. | Author(s) | Francisco Jesus Castro-Jimenez, Jose Maria Ucha-Enriquez | 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 quasi-homogeneous. | Keywords | de Rham cohomology, Logarithmic Comparison Theorem, free divisors, Grobner bases | ISSN | 1058-6458; 1944-950X/e |
URL |
http://www.tandfonline.com/doi/abs/10.1080/10586458.2004.10504553 |
Language | English | Journal | Exp. Math. | Volume | 13 | Number | 4 | Pages | 441--449 | Publisher | Taylor & Francis, Philadelphia, PA | Year | 2004 | Edition | 0 | Translation |
No | Refereed |
No |
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