ALGEBRAIC GEOMETRY - University of Chicago Math
... (b) Prove that C is smooth at every one of its points if and only if the equation for C is irreducible if and only if its equation can be put in the first form of (a). (c) Prove that C is singular at every one of its points if and only if the equation for C can be put in the third form of (a). (d) P ...
... (b) Prove that C is smooth at every one of its points if and only if the equation for C is irreducible if and only if its equation can be put in the first form of (a). (c) Prove that C is singular at every one of its points if and only if the equation for C can be put in the third form of (a). (d) P ...
Image of a line
... Figure 1: Two versions of a projection: on the left, as with an artist looking though a window; on the right, as with a camera projecting onto film. In each version, O is the center of the projection, π 0 is the picture plane, and the point P projects to its image P 0 . We should be cautious here. W ...
... Figure 1: Two versions of a projection: on the left, as with an artist looking though a window; on the right, as with a camera projecting onto film. In each version, O is the center of the projection, π 0 is the picture plane, and the point P projects to its image P 0 . We should be cautious here. W ...