New posts in affine-geometry

Equation of a line in homogenous coordinates given 2 points in affine coordinates

linear-algebra algebraic-geometry coordinate-systems affine-geometry

Geometric interpretation of ranks of matrices gathering coefficients of 3 affine and associated vectorial planes

linear-algebra geometry analytic-geometry affine-geometry

If $u_i$ are affinely independent, are they also linearly independent?

linear-algebra affine-geometry

Does ONLY the ellipse have these properties?

conic-sections plane-geometry plane-curves affine-geometry

Difference between Euclidean space and $\mathbb R^3$

euclidean-geometry affine-geometry

prove that hyperbolic cone is affine set (check my solution)

proof-verification convex-optimization affine-geometry

Definition of Affine Independence in Brondsted's Convex Polytopes?

linear-algebra affine-geometry

Given four points, determine a condition on a fifth point such that the conic containing all of them is an ellipse

conic-sections projective-geometry affine-geometry quadrics

What is view confusion in perspective projection?

geometry euclidean-geometry 3d projective-geometry affine-geometry

Loomis and Sternberg Problem 1.15

linear-algebra vector-spaces vectors problem-solving affine-geometry

Looking for elementary proof that irreducible/smooth curve in $\mathbb C^2$ is connected in Euclidean topology of $\mathbb C^2$

reference-request commutative-algebra algebraic-curves riemann-surfaces affine-geometry

Product of two algebraic varieties is affine... are the two varieties affine?

algebraic-geometry products affine-geometry

All polynomial parametric curves in $k^2$ are contained in affine algebraic varieties

algebraic-geometry ideals algebraic-curves parametric affine-geometry

Prove that $v_0, v_1,...,v_k$ are affinely independent if and only if $v_1 - v_0,...,v_k - v_0$ are linearly independent

linear-algebra affine-geometry

How to find the number of intersection points between affine curves with multiplicity 2?

geometry algebraic-geometry algebraic-curves affine-geometry

"An affine space is nothing more than a vector space whose origin we try to forget about, by adding translations to the linear maps."

linear-algebra geometry vector-spaces linear-transformations affine-geometry

Since the Curvature tensor depends on a connection (not metric), is it the relevant quantity to characterize the curvature of Riemannian manifolds?

differential-geometry riemannian-geometry smooth-manifolds curvature affine-geometry

What does it mean to be "affinely independent", and why is it important to learn?

affine-geometry

Reflect a point across a line using affine transform

linear-algebra affine-geometry

Is every convex-linear map an affine map?

linear-algebra convex-analysis affine-geometry