0
votes
1answer
340 views
Zero locus of a generic smooth section
Let $V$ be a smooth manifold, $E \rightarrow V$ a vector bundle over $V$ and $\Gamma$ be a finite group acting nontrivially on $V$ and $E$. Let $s \in C^\infty(E)$ be a generic $\G …
0
votes
0answers
118 views
Equation to a Perpendicular Line Along A Plane [closed]
Greetings,
I have the following problem, which Google has not yet been able to answer.
I have the equations to two lines in 3D space. I also have the co-ordinates of a single poi …
11
votes
5answers
940 views
What are the most important instances of the “yoga of generic points”?
In algebraic geometry, an irreducible scheme has a point called "the generic point." The justification for this terminology is that under reasonable finiteness hypotheses, a proper …
3
votes
1answer
2k views
Closest point on Bezier spline
Given a two-dimensional cubic bezier spline defined by 4 control-points as described here, is there a way to solve analytically the parameter along the curve (0.0 to 1.0 parameter …

