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15
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Proof and intuition for a generalization of primitive element theorem?

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#algebraic-geometry #commutative-algebra #intuition #schemes #affine-schemes
475
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Expressing $\mathbb{P}_A^n$ as $n+1$ glued copies of $\mathbb{A}_A^n$ -- what is the inclusion map?

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#algebraic-geometry #schemes
378
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Why do these open subgroups of the étale fundamental group contain the kernel of an induced homomorphism?

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#algebraic-geometry #algebraic-topology #galois-theory #schemes #fundamental-groups
2.3k
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What is the definition of scheme over a field?

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#schemes
423
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What is the difference between an algebraic and a complex analytic variety?

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#algebraic-geometry #schemes
93
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Quick question: Direct sum of zero-dimensional subschemes supported at the same point

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#algebraic-geometry #reference-request #commutative-algebra #vector-bundles #schemes
65
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Quick question: Confusion on Quot scheme

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#algebraic-geometry #reference-request #commutative-algebra #vector-bundles #schemes
715
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A $k$ variety $X$ is smooth if it admits an unramified morphism to a smooth $k$-variety $Y$

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#algebraic-geometry #commutative-algebra #sheaf-theory #schemes #exact-sequence
298
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Hartshorne Exercise II.9.1

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#algebraic-geometry #sheaf-theory #schemes
544
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Etale after base change

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#algebraic-geometry #schemes
1.9k
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"Spreading out" a smooth, connected $\mathbb{C}$-scheme of finite type.

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#number-theory #algebraic-geometry #schemes #fiber-bundles #arithmetic-geometry
423
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Using global sections of scheme completion

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#algebraic-geometry #schemes
342
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Generalizing pullback of cycles and intersection products as suggested in Serre's local algebra

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#algebraic-geometry #reference-request #homological-algebra #schemes #intersection-theory
333
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How can I find a presentation for the diagonal of a morphism of affine schemes?

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#algebraic-geometry #ring-theory #schemes #affine-schemes
666
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Open sets of integral schemes

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#algebraic-geometry #commutative-algebra #schemes

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