New posts in Schemes

Why isn't every finite locally free morphism etale?

Is it true that $\mathscr{O}_{X,x}=\mathscr{O}_{\operatorname{Spec} A,x}$ for any $\operatorname{Spec} A$ with $x\in\operatorname{Spec} A$?

Hartshorne's Exercise II.4.5(c). A third time.

Ring theory conventions - Zero ring, local homomorphisms

Closedness in scheme theory

Precise general statement of flat morphisms being "equidimensional"

Does every closed subset of the underlying space of a Noetherian scheme admits a natural closed subscheme structure?

Value of the structure sheaf on a general open in Spec(R)

Do closed immersions preserve stalks?

Coordinate ring of a scheme in functorial algebraic geometry