تقرير
Generic bounds for Frobenius closure and tight closure
| العنوان: | Generic bounds for Frobenius closure and tight closure |
|---|---|
| المؤلفون: | Brenner, H., Fischbacher-Weitz, H. |
| سنة النشر: | 2008 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Commutative Algebra, Mathematics - Algebraic Geometry, 13A35, 13D40, 14F05, 14J60 |
| الوصف: | We use geometric and cohomological methods to show that given a degree bound for membership in ideals of a fixed degree type in the polynomial ring P=k[x_0,..., x_d], one obtains a good generic degree bound for membership in the tight closure of an ideal of that degree type in any standard-graded k-algebra R of dimension d+1. This indicates that the tight closure of an ideal behaves more uniformly than the ideal itself. Moreover, if R is normal, one obtains a generic bound for membership in the Frobenius closure. If d is at most 2, then the bound for ideal membership in P can be computed from the known cases of the Froeberg conjecture and yields explicit generic tight closure bounds. Comment: 23 pages, 1 figure. v2: Minor changes to layout and phrasing; v3: Added more detail, changed two references |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/0810.4518Test |
| رقم الانضمام: | edsarx.0810.4518 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |