Glasnik Matematicki, Vol. 41, No.2 (2006), 233-238.

REAL RAMIFICATION POINTS AND REAL WEIERSTRASS POINTS OF REAL PROJECTIVE CURVES

E. Ballico

Abstract.   Here we construct real smooth projective curves with prescribed genus, gonality and topological type or with a real Weierstrass point with prescribed first positive non-gap.

2000 Mathematics Subject Classification.   14H51, 14P99.

Key words and phrases.   Real algebraic curve, gonality, real Weierstrass point.

DOI: 10.3336/gm.41.2.06

References:

1. E. Arbarello and M. Cornalba, Footnotes to a paper of Beniamino Segre: The number of g¹_d's on a general d-gonal curve, and the unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves, Math. Ann. 256 (1981), 341--362.
   MathSciNet

2. E. Ballico, Real algebraic curves and real spanned bundles, Ricerche Mat. 50 (2001), 223-241.
   MathSciNet

3. S. Chaudary, The Brill-Noether theorem for real algebraic curves, Ph. D. Thesis, Duke University, 1995.

4. D. Eisenbud and J. Harris, Limit linear series: basic theory, Invent. Math. 85 (1986), 337-371.
   MathSciNet     CrossRef

5. B. H. Gross and J. Harris, Real algebraic curves, Ann. Scient. École Norm. Sup. (4) 14 (1981), 157-182.
   MathSciNet

6. J. Harris and D. Mumford, On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1982), 23-88.
   MathSciNet     CrossRef