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Is $ X \to \mathrm{CH}^i (X) $ covariant or contravariant?

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#algebraic-geometry #category-theory #sheaf-theory #schemes
105
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Do torsion-free $\mathcal{O}_X$-modules on curves have dimension one?

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#algebraic-geometry #schemes #coherent-sheaves #projective-schemes
108
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$\mathbb{C}[x,y]$ is the sections of Spec $\mathbb{C}[x,y]$ minus the origin?

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#abstract-algebra #algebraic-geometry #schemes
268
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Finitely generated $k-$algebras of regular functions on an algebraic variety

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#algebraic-geometry #schemes #algebras #affine-varieties
143
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Is every open affine subscheme of an algebraic $k-$variety an affine $k-$variety?

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#algebraic-geometry #schemes #affine-varieties
1.2k
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Scheme Theoretic Image (Hartshorne Ex.II.3.11.d)

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#algebraic-geometry #schemes
470
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Is this a closed embedding of schemes?

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#algebraic-geometry #commutative-algebra #schemes
147
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Adjunction isomorphism in algebraic geometry

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#algebraic-geometry #algebraic-curves #schemes #coherent-sheaves
260
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Closed connected subset of $\mathbb{P}_k^1$

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#algebraic-geometry #schemes
45
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Why can't closed subschemes be defined in an easier way?

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#soft-question #schemes
103
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Projection from algebraic variety is surjective

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#algebraic-geometry #schemes
129
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Give an example of a scheme $X$ so that the asbolute Frobenius morphism induces an isomorphism on global sections.

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#algebraic-geometry #schemes #affine-schemes
373
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Irreducible components and flat maps of schemes

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#algebraic-geometry #proof-verification #schemes
525
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Closed immersion on each fiber

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#algebraic-geometry #schemes
276
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Viewing a closed point as a scheme

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#algebraic-geometry #sheaf-theory #schemes

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