Complex Algebraic Surfaces Class 12
نویسنده
چکیده
(i) is the most important one. We showed that extensions < = are classified by >@?A& 1 B DCE GF ( . The element 0 corresponded to a splitting. If one element is a non-zero multiple of the other, they correspond to the same , although different extensions. As an application, we proved: Proposition. Every rank 2 locally free sheaf on ? is a direct sum of invertible sheaves. I can’t remember if I stated the implication: Every geometrically ruled surface over ? is isomorphic to a Hirzebruch surface
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