List questions from schemes

Published on 25 Mar 2026 - 12:54

158

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Deducing that $R^kf_*(F \otimes L^{\otimes n})=0$ for large enough $n$ from a statement about sheaf cohomology

Published on 25 Mar 2026 - 12:41

889

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Separatedness of open subscheme of affine schemes

Published on 25 Mar 2026 - 9:53

63

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Is $\mathcal{O}_{\mathbb{P}^1 \sqcup \, \mathbb{P}^1}$ a non-ample line bundle, and if so, how to show this?

Published on 25 Mar 2026 - 9:38

47

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Questions on Graph Morphism

Published on 03 Jun 2019 - 20:23

109

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Finite Morphism between Regular Curves induces Category Equivalence

Published on 28 Mar 2026 - 5:53

381

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Normalization of Projective Scheme is Projective

Published on 04 Jun 2019 - 1:58

195

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Canonical scheme structure on the singular locus of (affine) schemes so that the inclusion map is closed immersion

Published on 25 Mar 2026 - 19:06

218

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Why do we use homogeneous localisation (from a universal perspective)?

Published on 25 Mar 2026 - 11:52

33

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Normality of group schemes

Published on 26 Mar 2026 - 21:24

359

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Question about irreducible components of the fiber product $\operatorname{Spec}(k[t]) \times_{\text{Spec}(k[t^2])} \operatorname{Spec}(k[t])$

Published on 23 Feb 2026 - 6:25

167

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Going from varieties to schemes

Published on 25 Mar 2026 - 12:23

233

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Why is the Grassmannian functor representable by a scheme?

Published on 25 Mar 2026 - 7:51

1.1k

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Tangent Space and Dual Numbers

Published on 19 Jun 2019 - 12:30

288

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$r$-fold product of projective space

Published on 19 Jun 2019 - 19:16

List Question

Spectrum of the ring of integers

Deducing that $R^kf_*(F \otimes L^{\otimes n})=0$ for large enough $n$ from a statement about sheaf cohomology

Separatedness of open subscheme of affine schemes

Is $\mathcal{O}_{\mathbb{P}^1 \sqcup \, \mathbb{P}^1}$ a non-ample line bundle, and if so, how to show this?

Questions on Graph Morphism

Finite Morphism between Regular Curves induces Category Equivalence

Normalization of Projective Scheme is Projective

Canonical scheme structure on the singular locus of (affine) schemes so that the inclusion map is closed immersion

Why do we use homogeneous localisation (from a universal perspective)?

Normality of group schemes

Question about irreducible components of the fiber product $\operatorname{Spec}(k[t]) \times_{\text{Spec}(k[t^2])} \operatorname{Spec}(k[t])$

Going from varieties to schemes

Why is the Grassmannian functor representable by a scheme?

Tangent Space and Dual Numbers

$r$-fold product of projective space

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