Newbetuts

Why is $F^*(\mathcal L) = \mathcal L^{\otimes p}$ where $F$ is the absolute Frobenius and $\mathcal L$ is an invertible sheaf?

What is an example of $\mathscr O_{Spec R}(U)\neq S^{-1}R$ for some $S$ consisting of the elements of $R$ not vanishing on $U$?

Homogeneous polynomial in $k[X,Y,Z]$ can factor into linear polynomials?

What is a simple definition of the pullback of a section?

Visualizations of some of the abstractions of algebraic geometry

Geometric intuition for the Stein factorization theorem?

Differential Geometry textbooks for someone interested in Algebraic Geometry

Why is the disjoint union of a finite number of affine schemes an affine scheme?

Homogeneous generators of a homogeneous ideal

Finiteness of cohomology of coherent sheaf for proper morphisms

For which $n$ can $(a, nb, c)$ and $(b, c, d)$ be Pythagorean triples?

Euler characteristic, genus and cohomology: a deep connection?

Taking stalk of a product of sheaves

"Proper" definition of a proper map?

Cancellation problem: $R\not\cong S$ but $R[t]\cong S[t]$ (Danielewski surfaces)

Conditions such that taking global sections of line bundles commutes with tensor product?

New posts in algebraic-geometry

Connected components of a scheme are irreducible

Stalk of a pushforward sheaf in algebraic geometry

Restriction of tensor product of $\mathcal{O}_X$-modules to an open subset [duplicate]

The preimage of a maximal ideal is maximal

Why is $F^*(\mathcal L) = \mathcal L^{\otimes p}$ where $F$ is the absolute Frobenius and $\mathcal L$ is an invertible sheaf?

What is an example of $\mathscr O_{Spec R}(U)\neq S^{-1}R$ for some $S$ consisting of the elements of $R$ not vanishing on $U$?

Homogeneous polynomial in $k[X,Y,Z]$ can factor into linear polynomials?

What is a simple definition of the pullback of a section?

Visualizations of some of the abstractions of algebraic geometry

Geometric intuition for the Stein factorization theorem?

Differential Geometry textbooks for someone interested in Algebraic Geometry

Why is the disjoint union of a finite number of affine schemes an affine scheme?

Homogeneous generators of a homogeneous ideal

Finiteness of cohomology of coherent sheaf for proper morphisms

For which $n$ can $(a, nb, c)$ and $(b, c, d)$ be Pythagorean triples?

Euler characteristic, genus and cohomology: a deep connection?

Taking stalk of a product of sheaves

"Proper" definition of a proper map?

Cancellation problem: $R\not\cong S$ but $R[t]\cong S[t]$ (Danielewski surfaces)

Conditions such that taking global sections of line bundles commutes with tensor product?