Displaying similar documents to “Instanton sheaves on complex projective spaces. ”

ACM embeddings of curves of a quadric surface

S. Giuffrida, R. Maggioni, R. Re (2007)

Collectanea Mathematica

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Let C be a smooth integral projective curve admitting two pencils g and g such that g + g is birational. We give conditions in order that the complete linear system |sg + rg | be normally generated or very ample.

Vector fields on the Sato Grassmannian.

Francisco J. Plaza Martín (2005)

Collectanea Mathematica

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An explicit basis of the space of global vector fields on the Sato Grassmannian is computed and the vanishing of the first cohomology group of the sheaf of derivations is shown.

Existence of coherent systems of rank two and dimension four.

Montsserrat Teixidor i Bigas (2007)

Collectanea Mathematica

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We show that the moduli space of coherent systems of rank two and dimension four on a generic curve of genus at least two is non-empty for any value of the parameter when the Brill-Noether number is at least one and the degree is odd or when the Brill-Noether number is at least ve and the degree is even. In all these cases there is one component of the moduli space of coherent systems of the expected dimension. The case of rank two and dimension four is particularly relevant as it is...