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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/924| On coherent systems of type (n, d, n + 1) on Petri curves | |
| GLORIA LETICIA BRAMBILA PAZ | |
| Acceso Abierto | |
| Atribución-NoComercial-CompartirIgual | |
| Espacios de Moduli | |
| We study coherent systems of type (n, d, n+1) on a Petri curve X of genus g ≥ 2. We describe the geometry of the moduli space of such coherent systems for large values of the parameter α. We determine the top critical value of α and show that the corresponding “flip” has positive codimension. We investigate also the non-emptiness of the moduli space for smaller values of α, proving in many cases that the condition for non-emptiness is the same as for large α.We give some detailed results for g ≤ 5 and applications to higher rank Brill–Noether theory and the stability of kernels of evaluation maps, thus proving Butler’s conjecture in some cases in which it was not previously known. | |
| Springer Verlag | |
| 2008 | |
| Artículo | |
| Inglés | |
| Investigadores | |
| GEOMETRÍA ALGEBRAICA | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Matemáticas |
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