On real generalized Jacobian varieties

[摘要] 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. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2005-12-01