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$\mathbb{C}(f,g)=\mathbb{C}(t)$ and $(f'(t),g'(t)) \neq 0$, but $\mathbb{C}[f,g]\subsetneq \mathbb{C}[t]$

Definition(s) of Stack

fully faithfulness of the direct image, but on $\text{Ext}^1$

vector bundles on affine schemes

Learning projective geometry

Why can we use flabby sheaves to define cohomology?

Neron-Severi group as the image of first Chern class

A scheme is affine iff the natural map $X\to \operatorname{Spec}\Gamma(X)$ is an isomorphism

The Moduli Stack of Elliptic curves - What is it?

Geometric statement of Prime Avoidance?

How do I teach university level mathematics to myself? [closed]

Sheaves created by global sections and their cohomology

What is the largest circle that fits in $\sin(x)?$

Polynomials vanishing on an infinite set

Varieties as schemes

Video lectures of algebraic geometry (Hartshorne, Shafarevich, ... )

Induced short exact sequence on wedge product