A sharp bound for the Castelnuovo–Mumford regularity of subspace arrangements
✍ Scribed by Harm Derksen; Jessica Sidman
- Book ID
- 108303535
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 117 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We propose an upper bound for the regularity index of fat points of P n with no geometric conditions on the points. Whenever the conjecture is true, the bound is sharp. It is, in fact, reached when there are points with high multiplicities either on a line or on some rational curve. Besides giving a
Using a calibration method, we prove that, if w is a function which satisfies all Euler conditions for the Mumford-Shah functional on a two-dimensional open set , and the discontinuity set S w of w is a regular curve connecting two boundary points, then there exists a uniform neighbourhood U of S w