On line bundles over real algebraic curves

Biswas, Indranil (2010) On line bundles over real algebraic curves Bulletin des Sciences Mathematiques . ISSN 0007-4497

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00074...

Related URL: http://dx.doi.org/10.1016/j.bulsci.2010.01.006


Let X be a geometrically irreducible smooth projective curve defined over the real numbers. Let nX be the number of connected components of the locus of real points of X. Let x1,...,xl be real points from l distinct components, with l<nX. We prove that the divisor x1+......+xl is rigid. We also give a very simple proof of the Harnack's inequality.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Real Algebraic Curve; Line Bundle; Harnack's Inequality
ID Code:3566
Deposited On:12 Oct 2010 04:18
Last Modified:12 Oct 2010 11:14

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