List questions from coherent-sheaves

Published on 10 Apr 2026 - 20:47

193

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G-equivariant invertible sheaves on affine curves

Published on 24 Apr 2026 - 3:43

1.5k

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Rank, degree and slope of a general coherent sheaf

Published on 14 Apr 2026 - 17:47

248

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Does the canonical morphism commute with direct image functor?

Published on 13 Apr 2026 - 10:16

1.5k

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Extension of coherent sheaf from open subspace.

Published on 10 May 2026 - 18:26

1k

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Comparing two definitions of determinant of coherent sheaves

Published on 09 Apr 2026 - 6:34

793

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Stalks of the sheaf $\mathscr{H}om$?

Published on 09 Apr 2026 - 23:50

115

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Construct natural transformation $u^* R^i f_* \rightarrow R^i g_* v^*$ without assumption of quasi-coherence

Published on 15 Apr 2026 - 12:28

358

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Coherent sheaf on reduced scheme is free on dense open set

Published on 11 Apr 2026 - 18:19

594

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Criterion of flatness for projective morphism

Published on 13 Apr 2026 - 20:30

175

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Question about Tate resolution and cohomology groups of nonzero coherent sheaves.

Published on 12 Apr 2026 - 8:00

105

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Cohomology groups of coherent sheaves for very small and very big twists.

Published on 14 Apr 2026 - 2:38

418

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Relative flat vs flat direct image

Published on 17 Apr 2026 - 10:25

494

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Degree of a torsion-free subsheaf

Published on 10 May 2026 - 19:38

42

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More confusion about the definition of smooth morphisms of schemes

Published on 29 Mar 2026 - 6:52

List Question

Question on the definition of sheaves.

G-equivariant invertible sheaves on affine curves

Rank, degree and slope of a general coherent sheaf

Does the canonical morphism commute with direct image functor?

Extension of coherent sheaf from open subspace.

Comparing two definitions of determinant of coherent sheaves

Stalks of the sheaf $\mathscr{H}om$?

Construct natural transformation $u^* R^i f_* \rightarrow R^i g_* v^*$ without assumption of quasi-coherence

Coherent sheaf on reduced scheme is free on dense open set

Criterion of flatness for projective morphism

Question about Tate resolution and cohomology groups of nonzero coherent sheaves.

Cohomology groups of coherent sheaves for very small and very big twists.

Relative flat vs flat direct image

Degree of a torsion-free subsheaf

More confusion about the definition of smooth morphisms of schemes

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