New posts in algebraic-geometry

How to prove a vanishing set is a subset of $\mathbb{C}P^1 \times \mathbb{C}P^1$

Why there is much interest in the study of $\operatorname{Gal}\left(\overline{\mathbb Q}/\mathbb Q\right)$?

Motivating Example for Algebraic Geometry/Scheme Theory

Wanted: A purely algebraic proof of the Frobenius theorem on distributions

Geometric intuition behind The Mordell Conjecture

Decomposing an Affine transformation

If $A$ and $I$ are $k$-algebras, what is a '$k$-linear derivation $A \to I$?'

How to compute the topological space of fibered product of schemes?

Irreducible polynomials and affine variety

Slick proof the determinant is an irreducible polynomial

Homomorphism of adic rings

Intersection number of very ample divisor and curve on a surface equals the degree

Elliptic curves, $j$-invariant and example of $j(\Lambda)=0$

What does the space of non-diagonalizable matrices look like?

Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition

What is an algebraic variety?

Number of points in the fibre and the degree of field extension

Effective divisor on smooth projective variety

"Real"-life applications of algebraic geometry

Precise connection between Poincare Duality and Serre Duality