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15
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Reference for functorial point of view in algebraic geometry

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#algebraic-geometry #category-theory #schemes #group-schemes
607
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Cartesian product of schemes

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#algebraic-geometry #category-theory #schemes
124
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Elementary description for $\mathbb{P}^1\times X$ and rational equivalence

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#algebraic-geometry #schemes #schubert-calculus
359
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Representability of a functor in the category of schemes

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#algebraic-geometry #category-theory #schemes #representable-functor
877
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Dimension and base change

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#proof-verification #algebraic-geometry #schemes
112
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Generically transversally intersecting Schubert cycles

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#algebraic-geometry #schemes #grassmannian #schubert-calculus
1.5k
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Why is the plane minus the origin not an affine scheme?

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#algebraic-geometry #schemes #affine-schemes
504
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Moduli functor $\mathcal{M}_g$ of smooth curves of genus $g$ not representable

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#algebraic-geometry #schemes #algebraic-stacks
665
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Does every non-empty closed subset of a scheme $X$ contain closed points in $X$ ($X$ not necessarily quasi-compact)

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#algebraic-geometry #schemes #solution-verification
152
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Smallest non-affine scheme. Is this correct?

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#algebraic-geometry #ring-theory #sheaf-theory #schemes
102
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Neron Severi group: two descriptions

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#algebraic-geometry #complex-geometry #schemes #sheaf-cohomology
178
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Injective map on a coherent sheaf on a projective scheme must be an automorphism

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#algebraic-geometry #proof-explanation #schemes #coherent-sheaves
84
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Is the gluing of two sheaves a coproduct?

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#algebraic-geometry #vector-bundles #schemes
261
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What are are some illustrative (non-)examples of proper morphisms?

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#algebraic-geometry #intuition #schemes #topos-theory #locales
589
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About the connected-étale sequence for finite group schemes over a complete noetherian local ring

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#abstract-algebra #algebraic-geometry #commutative-algebra #schemes #group-schemes

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