Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497128 | Journal of Pure and Applied Algebra | 2005 | 23 Pages |
Abstract
In this note, we study effective Cartier divisors with totally real or totally complex supports on a projective curve over R. 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jean-Philippe Monnier,