Is there an isomorphism $f_*\mathcal{H}om_{\mathcal{O}_X}(f^*\mathcal{G},\mathcal{F}) \cong \mathcal{H}om_{\mathcal{O}_Y}(\mathcal{G},f_*\mathcal{F})$

score 308 · Answer 11 · 2021-12-04 17:33:09

308

Views

Two possible definitions of composition of morphisms of ringed spaces. Are they equivalent?

Published on 04 Dec 2021 - 17:33

score 194 · Answer 12 · 2021-12-08 16:25:15

Formally smooth morphism of formal schemes $\mathfrak X \to\mathfrak Y$ induces formally smooth morphisms of schemes $\mathfrak X_n \to\mathfrak Y_n$?

score 69 · Answer 13 · 2021-12-17 10:07:55

69

Views

Why there is no notion ´bijective´ regarding morphism of schemes?

Published on 17 Dec 2021 - 10:07

score 100 · Answer 14 · 2021-12-17 10:19:37

100

Views

The spectrum of a ring minus a prime of height $1$

Published on 17 Dec 2021 - 10:19

score 179 · Answer 15 · 2021-12-18 20:28:48

179

Views

Characterisation isomorphisms of ringed spaces: $(f,f^\flat)$ iso iff $(f,f^\sharp)$ iso?

Published on 18 Dec 2021 - 20:28

List Question

Liu's Algebraic Geometry Ex 2.12

Non-isomorphic locally ringed spaces which represent isomorphic functors $\mathsf{CommRing} \to \mathsf{Set}$.

Sections on locally ringed space as functions

When considering a finite-type scheme as a ringed space, is it enough to look at its $k$-points?

Ideal sheaf is quasi-coherent if and only if its generated by local sections.

Stacks Project, modules locally generated by sections; is the hypothesis necessary?

What is the difference between invertible sheaf and sheaf of ring on a ringed space?

An elementary (and soft) question on strict open subschemes of the affine plane.

Exercise 3.10 from Hartshorne

Is there an isomorphism $f_\mathcal{H}om_{\mathcal{O}_X}(f^\mathcal{G},\mathcal{F}) \cong \mathcal{H}om_{\mathcal{O}_Y}(\mathcal{G},f_*\mathcal{F})$

Two possible definitions of composition of morphisms of ringed spaces. Are they equivalent?

Formally smooth morphism of formal schemes $\mathfrak X \to\mathfrak Y$ induces formally smooth morphisms of schemes $\mathfrak X_n \to\mathfrak Y_n$?

Why there is no notion ´bijective´ regarding morphism of schemes?

The spectrum of a ring minus a prime of height $1$

Characterisation isomorphisms of ringed spaces: $(f,f^\flat)$ iso iff $(f,f^\sharp)$ iso?

Trending Questions

Popular # Hahtags

Popular Questions