Displaying similar documents to “Hasse-Witt matrices and Kummer extension”

Hasse-Witt matrices and Kummer extension

Francis J. Sullivan (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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A simple calculation of the Hasse-Witt matrix is used to give examples of curves which are Kummer coverings of the projective line and which have easily determined p-rank. A family of curve carrying non-classical vector bundles of rank 2 is also given.

Rank-two vector bundles on general quartic hypersurfaces in P.

Carlo Madonna (2000)

Revista Matemática Complutense

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In this paper all non-splitting rank-two vector bundles E without intermediate cohomology on a general quartic hypersurface X in P are classified. In particular, the existence of some curves on a general quartic hypersurface is proved.

Rank 4 vector bundles on the quintic threefold

Carlo Madonna (2005)

Open Mathematics

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By the results of the author and Chiantini in [3], on a general quintic threefold X⊂P 4 the minimum integer p for which there exists a positive dimensional family of irreducible rank p vector bundles on X without intermediate cohomology is at least three. In this paper we show that p≤4, by constructing series of positive dimensional families of rank 4 vector bundles on X without intermediate cohomology. The general member of such family is an indecomposable bundle from the extension...

The subbundles of decomposable vector bundles over on elliptic curve.

Edoardo Ballico (1998)

Collectanea Mathematica

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Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.