Loading...
Please wait, while we are loading the content...
Similar Documents
Notes on Logarithmic Vector Fields , Logarithmic Differential Forms and Free Divisors
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mond, David |
| Copyright Year | 2012 |
| Abstract | These definitions really refer to sheaves of germs of vector fields and differential forms, but in these notes I will not be careful to indicate this. D is a free divisor if Der(− logD) is a locally free OCn-module. Outside D, Der(− logD) coincides with DerC , and therefore has rank n. So if D is a free divisor, it follows that at each point there is a (local) basis for Der(− logD) consisting of exactly n logarithmic vector fields. The definitions and theorems in this section and the next three are due to Kyoji Saito, [9]. For background on commutative algebra I recommend the book of Matsumura, [7]. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://homepages.warwick.ac.uk/~masbm/LectureNotes/notesOnLogForms.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
