Loading...
Please wait, while we are loading the content...
Similar Documents
The module of logarithmic p-forms of a locally free arrangement
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mustaţǎ, Mircea Schenck, Hal |
| Copyright Year | 2008 |
| Abstract | For an essential, central hyperplane arrangement A ⊆ V ≃ k we show that Ω(A) (the module of logarithmic one forms with poles along A) gives rise to a locally free sheaf on P if and only if for all X ∈ LA with rank X < dim V , the module Ω (AX ) is free. Our main result says that in this case π(A, t) is essentially the Chern polynomial. The proof is based on a result of Solomon-Terao [16] and a formula we give for the Chern polynomial of a bundle E on P in terms of the Hilbert series of ⊕m∈ZH (P,∧E(m)). If Ω(A) has projective dimension one and is locally free, we give a minimal free resolution for Ω, and show that ΛΩ(A) ≃ Ω(A), generalizing results of Rose-Terao on generic arrangements. ∗Corresponding author Partially supported by an NSF postdoctoral research fellowship |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0001177v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Amoxicillin IBM Notes Lactic acid Microsoft Dynamics AX Polygonatum Polynomial Rose tree |
| Content Type | Text |
| Resource Type | Article |
