My email: 
Marian.Aprodu@imar.ro

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Contents of my 
home page:
Personal information
Education
Work experience
Research interest
List of papers 
Abstract of my thesis
My bookmarks
 

The thesis has three parts, first of them being a preliminary one. 

The second part, based a series of papers jointly written with Prof. V. Brinzanescu, is concerned with a study of rank-2 vector bundles over ruled surfaces. We obtain necessary and sufficient conditions for the existence of vector bundles with prescribed numerical invariants and, via a numerical criterion of stability, we solve the existence problem for stable rank-2 vector bundles. 

The final part gives a complete description of the Picard group of any hyperelliptic surface, in the spirit of the Appell-Humbert theorem for tori. The precise description of the Neron-Severi group in terms of pairs of hermitian forms satisfying certain compatibility relations with the lattices corresponding to the base and the fibre of the elliptic fibration is obtained via a group cohomology calculation. This theorem recovers some well-known results due to Suwa and Serrano about the structure of the Neron-Severi group.