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On line bundles over real algebraic curves

โœ Scribed by Indranil Biswas

Publisher
Elsevier Science
Year
2010
Tongue
French
Weight
73 KB
Volume
134
Category
Article
ISSN
0007-4497

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โœฆ Synopsis

Let X be a geometrically irreducible smooth projective curve defined over the real numbers. Let n X be the number of connected components of the locus of real points of X. Let x 1 , . . . , x be real points from distinct components, with < n X . We prove that the divisor x 1 + โ€ข โ€ข โ€ข + x is rigid. We also give a very simple proof of the Harnack's inequality.

๐Ÿ“œ SIMILAR VOLUMES

Vector bundles on elliptic curves over a
Vector bundles on elliptic curves over a discrete valuation ring
โœ E. Ballico ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

Here we study vector bundles on elliptic curves over a DVR. In particular, we classify the vector bundles whose restriction to the special fiber is stable. For singular genus one curves over a DVR, we consider the same problem for flat sheaves whose restriction to the special fiber is torsion free a