List questions from sheaf-cohomology

Published on 12 Jun 2017 - 12:50

579

Views

Canonical morphism $H^{n}(Y,f_* \mathscr{F}) \to H^{n}(X, \mathscr{F})$ in sheaf cohomology.

Published on 21 Jun 2017 - 11:13

433

Views

Cohomology of exterior powers of Kähler Differentials

Published on 23 Jun 2017 - 16:30

54

Views

$\theta: \mathcal {F}\rightarrow \mathcal {G}$ is an isomorphism iff $\theta_x:\mathcal {F}_x\to\mathcal {G}_x $ is an isomorphism for any $x $.

Published on 27 Jun 2017 - 13:08

28

Views

Show that $U\rightarrow Im \theta_U $ is not a sheaf.

Published on 27 Jun 2017 - 16:45

170

Views

$X=\mathbb{C}$ with Zariski topology and $\mathcal{F}=\underline{\mathbb{Z}_X}$ the locally constant sheaf. $\mathcal F$ is flasque

Published on 29 Jun 2017 - 7:34

181

Views

Are there any general existence results for Leray coverings?

Published on 10 Jul 2017 - 11:34

214

Views

Godement (right) resolution by flabby sheaves as a (co)bar construction?

Published on 14 Jul 2017 - 6:24

153

Views

Hodge Theory for Smooth Projective Varieties

Published on 27 Mar 2026 - 5:05

461

Views

Hirzebruch–Riemann–Roch for coherent sheaves?

Published on 26 Mar 2026 - 14:43

153

Views

Elliptic curves as the zeros of a Weierstrass equation.

Published on 21 Jul 2017 - 11:22

481

Views

Proof of Theorem 9.9 in Part III of Hartshorne's Algebraic Geometry

Published on 25 Mar 2026 - 20:35

1.8k

Views

Question about left exactness of the section functor for sheaves

Published on 23 Jul 2017 - 18:30

53

Views

If any two indices are equal, then the term is zero

Published on 04 Aug 2017 - 16:14

860

Views

Comparing the proofs of Riemann Roch & Serre Duality in Forster's and Miranda's book

Published on 08 Aug 2017 - 13:10

List Question

Borel-Weil-Bott theorem vs the usual formula

Canonical morphism $H^{n}(Y,f_* \mathscr{F}) \to H^{n}(X, \mathscr{F})$ in sheaf cohomology.

Cohomology of exterior powers of Kähler Differentials

$\theta: \mathcal {F}\rightarrow \mathcal {G}$ is an isomorphism iff $\theta_x:\mathcal {F}_x\to\mathcal {G}_x $ is an isomorphism for any $x $.

Show that $U\rightarrow Im \theta_U $ is not a sheaf.

$X=\mathbb{C}$ with Zariski topology and $\mathcal{F}=\underline{\mathbb{Z}_X}$ the locally constant sheaf. $\mathcal F$ is flasque

Are there any general existence results for Leray coverings?

Godement (right) resolution by flabby sheaves as a (co)bar construction?

Hodge Theory for Smooth Projective Varieties

Hirzebruch–Riemann–Roch for coherent sheaves?

Elliptic curves as the zeros of a Weierstrass equation.

Proof of Theorem 9.9 in Part III of Hartshorne's Algebraic Geometry

Question about left exactness of the section functor for sheaves

If any two indices are equal, then the term is zero

Comparing the proofs of Riemann Roch & Serre Duality in Forster's and Miranda's book

Trending Questions

Popular # Hahtags

Popular Questions