New posts in algebraic-geometry

How to imagine "tensoring with Serre's twisted sheaf"

Spectrum of $\mathbb{Z}[x]$

Zariski Open Sets are Dense?

Why Cohomology Groups?

Why is the abelian group of points on an elliptic curve over a finite field isomorphic to the product of at most two cyclic groups?

When are vector bundles on toric varieties also toric varieties?

Why is the Hessian of an irreducible polynomial not zero?

Category of quasicoherent sheaves not abelian

Geometric interpretation of ramification of prime ideals.

Canonical map for algebraic curve is nondegenerate

For which $f,g \in k[t]$, $k[f,g]$ is integrally closed?

What are some applications outside of mathematics for algebraic geometry?

Does Hom commute with stalks for locally free sheaves?

When characteristic classes determine a bundle?

Intersection of Algebraic Topology/Geometry and Model Theory/Set Theory

Tate's Thesis: in what sense is Tate's Theorem 4.2.1 the Riemann-Roch theorem for curves?

Why does the definition of an open subscheme / open immersion of schemes allow for an "extra" isomorphism?

How are the Tate-Shafarevich group and class group supposed to be cognates?

Non-algebraic flops

Why is Hodge more difficult than Tate?