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15
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The projection $\mathbb{A}^n\ni V(I)\to \mathbb{A}^{n-1}$ is closed

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#geometry #algebraic-geometry #affine-varieties #projective-varieties
83
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Proving that a variety has a lower dimension than its ambient space

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#algebraic-geometry #affine-varieties #krull-dimension #transcendence-degree
786
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Special linear group is an irreducible algebraic set

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#algebraic-geometry #algebraic-groups #affine-varieties
97
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Presentation of projective variety example

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#algebraic-geometry #projective-space #affine-varieties
1.1k
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A point $p$ of a variety $X$ is smooth if and only if it is smooth in $U\subset X$ an open sub variety.

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#algebraic-geometry #affine-varieties
138
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closure of image of polynomial map from affine variety

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#algebraic-geometry #affine-varieties
55
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Are the number of maximal opens sets in a Noetherian topological space finite?

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#algebraic-geometry #commutative-algebra #noetherian #affine-varieties #zariski-topology
1k
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Different definitions of regular map (between affine varieties)?

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#algebraic-geometry #affine-varieties
168
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The Underlying Set of Product Variety in the Classic Language

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#algebraic-geometry #schemes #affine-varieties #projective-varieties
151
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Do Regular Functions Separate Closed Sets in Affine Variety?

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#algebraic-geometry #schemes #affine-varieties
107
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Question on equivalence of definitions of quasi-affine varieties

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#algebraic-geometry #affine-varieties
36
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Affine mapping task

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#vector-spaces #vectors #affine-geometry #affine-varieties
843
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Description of ideal of intersection of two projective varieties

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#algebraic-geometry #projective-space #affine-varieties #projective-varieties
786
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Morphism of quasi affine varieties giving algebra homomorphism and back.

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#algebraic-geometry #affine-varieties
59
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A question on a result.

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#algebraic-geometry #ideals #affine-varieties #dimension-theory-algebra

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