Partial Regularity and Amplitude
| dc.creator | Arapura, Donu | |
| dc.date | 2004-01-26 | |
| dc.date | 2006-03-07 | |
| dc.date.accessioned | 2026-07-07T06:35:56Z | |
| dc.date.available | 2026-07-07T06:35:56Z | |
| dc.description | This is a sequel to the paper "Frobenius amplitude and strong vanishing theorems for vector bundles" (math.AG/0202129). We introduce a more elementary variant of the notion of F-amplitude from the earlier paper which we call amplitude. This provides another measure of positivity of a vector bundle which is related to a number of preexisting positivity notions such as k-ampleness or q-convexity. We use this to refine the estimates of F-amplitude from the first paper, and to deduce some further vanishing theorems as a consequence. We also give some new proofs of some known vanishing theorems for Abelian and toric varieties by analogous methods. For technical reasons, we need to develop a theory of partial Castelnuovo-Mumford regularity which provides a rough measure of the cohomological complexity of a sheaf. Since this material may have independent interest, it is contained in a section which can be read on its own. | |
| dc.description | The final revision (to appear in Amer. J Math) contains several corrections | |
| dc.identifier | https://arxiv.org/abs/math/0401364 | |
| dc.identifier | http://arxiv.org/abs/math/0401364 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99946 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Partial Regularity and Amplitude | |
| dc.type | text |