Real Algebraic and Analytic Geometry
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Real Algebraic and Analytic Geometry |
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Submission: 2003, November 13.
Abstract:
In this note, we study effective Cartier divisors with
totally real or totally complex supports on a projective
curve over IR. We give some numerical conditions
for an invertible sheaf to be isomorphic or not to such a
divisor. We show that these conditions are strongly related
to the singularities of the curve and to topological properties
of the real part of the Jacobian variety.
Mathematics Subject Classification (1991): 14C20, 14H51, 14P25, 14P99.
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