Remark on a conjecture of Mukai

Details Remark on a conjecture of Mukai Remark on a conjecture of Mukai

2006-10-17

arxiv.org/abs/math/0610516v1

Mathematics

Algebraic Geometry

6 pages

Scientific paper

Let C be a general curve. Mukai asked whether for every stable rank 2 vector
bundle E on C with det(E) = K, the multiplication map
Sym^2 H^0(C,E) --> H^0(C, Sym^2 E) is injective. We observe that this holds
when h^0(E) < 7 .

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