On the Maximal Rank Conjecture for Line Bundles of Extremal Degree

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We propose a new method, using deformation theory, to study the maximal rank
conjecture. For line bundles of extremal degree, which can be viewed as the
first case to test the conjecture, we prove that maximal rank conjecture holds
by our new method.

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