On secant spaces to Enriques surfaces | Zendy

Andreas Leopold Knutsen | Zendy

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On secant spaces to Enriques surfaces

Author(s) -

Andreas Leopold Knutsen

Publication year - 2009

Publication title -

bulletin of the belgian mathematical society - simon stevin

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.36

H-Index - 31

eISSN - 2034-1970

pISSN - 1370-1444

DOI - 10.36045/bbms/1260369406

Subject(s) - mathematics , surface (topology) , line bundle , base (topology) , pure mathematics , line (geometry) , point (geometry) , bundle , mathematical analysis , geometry , materials science , composite material

We relate the minimal gonality of smooth curves in a complete, ample, base point free linear system |L| on an Enriques surface to the existence of certain secant spaces on the image of the surface mapped by the adjoint system. We also explicitly compute the minimal gonality in terms of invariants of the line bundle L. In particular, we obtain a precise criterion for the variation of the gonality of the curves.

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