Título:
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On the stability of the universal quotient bundle restricted to congruences of low degree of G(1,3)
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Autores:
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Arrondo Esteban, Enrique ;
Cobo Pablos, Sofía
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Tipo de documento:
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texto impreso
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Editorial:
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Scuola Normale Superiore (Pisa), 2010
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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We study the semistability of Q vertical bar s, the universal quotient bundle on G(1,3) restricted to any smooth surface S (called congruence). Specifically, we deduce geometric conditions for a congruence S, depending on the slope of a saturated linear subsheaf of Q vertical bar s. Moreover, we check that the Dolgachev-Reider Conjecture (i.e. the semistability of Q vertical bar s for nondegenerate congruences S) is true for all the congruences of degree less than or equal to 10. Also, when the degree of a congruence S is less than or equal to 9, we compute the highest slope reached by the linear subsheaves of Q vertical bar s.
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En línea:
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https://eprints.ucm.es/id/eprint/14755/1/ASNSP_2010_5_9_3_503_0.pdf
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