MAT 614 Curves on Algebraic Varieties

نویسنده

  • Jason Starr
چکیده

(f) Explicitly verify that the the 5 global sections above generate the invertible sheaf OP2(2)|X(−C) at every point of X. Therefore there is a unique morphism φ : X → P such that φOP4(1) equals OP2(2)|X(−C) and the pullback of the homogeneous coordinates are the 5 sections above. (g) Also verify that y0, y1, y2, y3 are identically zero on the line L. Therefore φ contracts L to the point p = [0, 0, 0, 0, 1].

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تاریخ انتشار 2012