New posts in algebraic-geometry

Uniqueness of a local certain homomorphism (Etale Cohomology and the Weil Conjecture by Freitag, Kiehl)

algebraic-geometry ring-theory commutative-algebra etale-cohomology

What is the opposite category of $\operatorname{Top}$?

general-topology algebraic-geometry category-theory

How does intuition fail for higher dimensions?

geometry algebraic-geometry intuition

Is it true that for algebraic sets $V,W$ we have $I(V \times W ) =I(V) + I(W)$?

algebraic-geometry

Theorem 7.4.16 (Riemann–Hurwitz formula) in Qing Liu's Algebraic Geometry and Arithmetic Curves

algebraic-geometry commutative-algebra sheaf-theory schemes quasicoherent-sheaves

Class group of $k[x,y,z,w]/(xy-zw)$

algebraic-geometry commutative-algebra

Has anyone seen this combinatorial identity involving the Bernoulli and Stirling numbers?

combinatorics algebraic-geometry characteristic-classes

When do equations represent the same curve?

calculus abstract-algebra algebraic-geometry analytic-geometry algebraic-curves

How does the failure of integral closure of a coordinate ring relate to the cusp/singularity we see in the corresponding variety?

algebraic-geometry

A complex algebraic variety which is connected in the usual topology

algebraic-geometry complex-geometry

What is the difference between $\ell$-adic cohomology and cohomology with coefficient in $Z_\ell$?

algebraic-geometry homology-cohomology sheaf-theory etale-cohomology

Geometric meaning of completion and localization

algebraic-geometry commutative-algebra

How to think of the pullback operation of line bundles?

algebraic-geometry

In what sense does a divisor actually divide?

algebraic-geometry

Dimension of fibre products of $k$-schemes for an arbitrary field $k$

algebraic-geometry schemes fibre-product

Is the kernel of a surjective morphism $\mathscr{F} \to \mathscr{G}$ of locally free sheaves locally free?

algebraic-geometry commutative-algebra solution-verification

Veronese Surface Represented by an Intersection of Quadratics

algebraic-geometry

Equivalence of categories of vector bundles and locally free sheaves

algebraic-geometry

What is the intuition behind the concept of Tate twists?

number-theory algebraic-geometry intuition

Did Zariski really define the Zariski topology on the prime spectrum of a ring?

reference-request algebraic-geometry commutative-algebra math-history