New posts in algebraic-geometry

Irreducible components of the variety $V(X^2+Y^2-1,X^2-Z^2-1)\subset \mathbb{C}^3.$

algebraic-geometry commutative-algebra algebraic-curves

Definition of sheaf using equalizer

algebraic-geometry category-theory sheaf-theory

integral cohomology ring of real projective space

algebraic-geometry algebraic-topology homology-cohomology projective-space cw-complexes

Walking on a torus

geometry algebraic-geometry

Quick question: Chern classes of Sym, Wedge, Hom, and Tensor

algebraic-geometry surfaces vector-bundles characteristic-classes holomorphic-bundles

A question on cohomology of vector bundles on a surface

algebraic-geometry

Show that a polynomial of degree 4 is birational equivalent to a polynomial of degree 3

algebraic-geometry birational-geometry

How to show $P^1\times P^1$ (as projective variety by Segre embedding) is not isomorphic to $P^2$?

algebraic-geometry projective-space

Extending a morphism of schemes

algebraic-geometry schemes

$\mathcal{L}$ is very ample, $\mathcal{U}$ is generated by global sections $\Rightarrow$ $\mathcal{L} \otimes \mathcal{U}$ is very ample

algebraic-geometry

*writing* proofs involving commutative diagrams

algebraic-geometry commutative-algebra category-theory

Algebraic versus topological line bundles

algebraic-geometry algebraic-topology

Geometry of the set of coefficients such that monic polynomials have roots within unit disk

linear-algebra general-topology algebraic-geometry polynomials path-connected

On the definition of the structure sheaf attached to $Spec A$

algebraic-geometry sheaf-theory

Extended ideals and algebraic sets

algebraic-geometry commutative-algebra ideals

How to construct a simple complex torus of dimension $\geq 2$?

algebraic-geometry complex-geometry

Global section of tensor product of line bundles on a curve

algebraic-geometry

Do automorphisms of a finitely generated free module restrict to automorphisms on every invariant submodule?

abstract-algebra algebraic-geometry commutative-algebra

The algebraic de Rham complex

algebraic-geometry commutative-algebra differential-forms

Open subschemes of affine schemes are affine?

algebraic-geometry