代数几何Prove that the variety P²\X,where X is a plane coni
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/08 01:23:09
代数几何
Prove that the variety P²\X,where X is a plane conic,is affine.[Hint:Use the Veronese embedding.]
Prove that the variety P²\X,where X is a plane conic,is affine.[Hint:Use the Veronese embedding.]
提示已经比较充分了.
在嵌入P² → P⁵,(X:Y:Z) → (X²:Y²:Z²:XY:YZ:ZX)下,P²被嵌入为P⁵中的一个射影曲面S.
同时X = V(aX²+bY²+cZ²+dXY+eYZ+fZX)被嵌入超平面H = V(aX+bY+cZ+dW+eU+fV).
于是P²\X同构于S\H,后者是P⁵\H ≌ A⁵中的一个仿射曲面.
在嵌入P² → P⁵,(X:Y:Z) → (X²:Y²:Z²:XY:YZ:ZX)下,P²被嵌入为P⁵中的一个射影曲面S.
同时X = V(aX²+bY²+cZ²+dXY+eYZ+fZX)被嵌入超平面H = V(aX+bY+cZ+dW+eU+fV).
于是P²\X同构于S\H,后者是P⁵\H ≌ A⁵中的一个仿射曲面.
1:Prove that if x is a positive integer that is not divisibl
英语翻译A point in the plane with coordinates (x,y),where x and
university is instructions that a wide variety of subjects a
英语翻译Prove that the curves y=x^3 and y=(x+1)/(x^2 +4) have ex
For what value of A is the plane 2x-2y+z=3 is tangent to the
英语翻译Part1 :Graphs of the from y=x²+k where k is a const
His experiment----- (prove) that failure is the mother of su
Further evidence is needed to prove that the former presiden
sat2数学求解a plane cuts through a cube in such a way that the p
如何翻译 A plane is a plane that can fly.
Where is the chair?Is _____on the floor?A.that
The woman —— (prove)that he was at the place where the crime