Tagged Questions
2
votes
0answers
33 views
Puiseux series and Resolution of Singularities
I have a very basic knowledge of algebraic geometry(no schemes!), and am trying to study the resolution of singularities.
So the Newton's method gives us a Puiseux series parametrizing the branches of ...
4
votes
2answers
96 views
A question on Newton's “theorem about ovals”
This is a question about a result from Newton's Principia. It says, roughly, that the if you intersect lines $ax + by + c$ with a smooth, closed, convex curve, then the area of the curve that the line ...
0
votes
2answers
152 views
some notions on algebraic curve
1) I want to learn about algebraic curves and i'm confused, please correct me if i'm wrong : when we say an Affine algebraic curve over the field $F$ :
here affine to distinguish it from projective ...
0
votes
3answers
644 views
Intersection of Cubic curves
This is the question which i am attempting to solve, and it seems to difficult to get rid of the exponents.
Show that a the two cubic curves $Y^3 = X^2 + X^3$ and $X^3 = Y^2 + Y^3$ intersect in ...
