New posts in algebraic-geometry

What is a concrete example of why one wants to have a *derived category* in algebraic geometry?

algebraic-geometry category-theory derived-functors

Is the dualizing functor $\mathcal{Hom}( \cdot, \mathcal{O}_{X})$ exact?

algebraic-geometry commutative-algebra

On the use of "generic" and "general" in algebraic geometry

algebraic-geometry terminology

Is the universal cover of an algebraic group an algebraic group?

algebraic-geometry algebraic-groups lie-groups

Is the tensor product over $B$ of two flat $A$-modules flat over $A$?

algebraic-geometry commutative-algebra tensor-products flatness

The definition of special cubic fourfolds

algebraic-geometry complex-geometry surfaces hodge-theory

Is there a general way to parameterize all implicit functions?

algebraic-geometry parametric

morphism from a local ring of a scheme to the scheme

algebraic-geometry schemes

What is "general position" of hyperplanes?

abstract-algebra geometry algebraic-geometry

Good references for stacks

reference-request algebraic-geometry soft-question

Let $I \subset A$ be generated by a regular sequence $x_1, \dots, x_r$. Then, $I/I^2$ is a free $A/I$ module of rank $r$.

algebraic-geometry commutative-algebra

Good problems in Algebraic Geometry

reference-request algebraic-geometry

In algebraic geometry, why do we use $\mathbb C$ instead of the algebraic closure of $\mathbb Q$?

algebraic-geometry soft-question

On a *ringed space*, show that the non vanishing set of $f$ is open, and that it is invertible there

algebraic-geometry schemes ringed-spaces

Should a polynomial satisfying certain conditions be linear?

algebraic-geometry polynomials commutative-algebra gcd-and-lcm

The image of the diagonal map in scheme

algebraic-geometry schemes

When irreducible elements of a UFD remain irreducible in a ring extension

abstract-algebra algebraic-geometry ring-theory commutative-algebra unique-factorization-domains

Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz

reference-request algebraic-geometry representation-theory affine-geometry

Geometric intuition for linearizing algebraic group action

algebraic-geometry algebraic-groups invariant-theory geometric-invariant-theory

What does the Tate module of an elliptic curve tell us?

algebraic-geometry elliptic-curves