New posts in algebraic-geometry

Details of gluing sheaves on a cover

algebraic-geometry sheaf-theory ringed-spaces

Looking for a special class of ideals such that If every ascending chain of ideals from this class stabilizes, then $R$ is a Noetherian ring.

algebraic-geometry ring-theory commutative-algebra ideals noetherian

Can every irreducible cubic be proved irreducible using the Eisenstein criterion?

algebraic-geometry commutative-algebra factoring irreducible-polynomials

Singular points of orders of a number field

abstract-algebra number-theory algebraic-geometry algebraic-number-theory arithmetic-geometry

Why do we always need the Schwarz lemma when bounding the trace of a Kähler metric?

differential-geometry algebraic-geometry riemannian-geometry complex-geometry kahler-manifolds

Grothendieck connections and jets

algebraic-geometry ordinary-differential-equations

Is the composition of blowing-up a blowing-up?

algebraic-geometry

Tropical Machinery

algebraic-geometry tropical-geometry

When is the pushforward / direct image of a reflexive sheaf locally free?

algebraic-geometry commutative-algebra sheaf-theory vector-bundles

There is a bijection between irreducible components of the generic fiber and irreducible components passing through it.

algebraic-geometry

Are vector bundles on $\mathbb{P}_{\mathbb{C}}^n$ of any rank completely classified? (main interest $n=3$)

reference-request algebraic-geometry complex-geometry vector-bundles

Solutions to "Vakil - Foundations of Algebraic Geometry" exercises [closed]

algebraic-geometry

Why is the topology on $\operatorname{Proj} B$ induced from that on $\operatorname{Spec}(B)?$

algebraic-geometry commutative-algebra graded-rings

General surface no lines

algebraic-geometry algebraic-curves

Coordinate free proof that det is algebraic

linear-algebra algebraic-geometry category-theory lie-groups

Is there a variant of the implicit function theorem covering a branch of a curve around a singular point?

real-analysis sequences-and-series complex-analysis algebraic-geometry implicit-function-theorem

Algebraic Curves and Second Order Differential Equations

ordinary-differential-equations algebraic-geometry algebraic-curves periodic-functions

Zariski topology irreducible affine curve is same as the cofinite topology

abstract-algebra algebraic-geometry

Computing the degree of a finite morphism $\mathbb{P}^n\to \mathbb{P}^n$

algebraic-geometry

Definition of the Ideal Sheaf

algebraic-geometry definition