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finite morphism (algebraic) vs finite morphism (analytic)

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#algebraic-geometry #analytic-geometry
455
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Scheme: Countable union of affine lines

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#algebraic-geometry #commutative-algebra #schemes
309
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Tensor product of structure sheaves of subvarieties

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#algebraic-geometry #quasicoherent-sheaves
61
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Dual of etale fundamental group, field functoriality

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#algebraic-geometry #fundamental-groups #etale-cohomology
66
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Positive Integer points of $f(x)=\frac{1}{c-\frac{1}{x}}$, where c is fixed

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#algebraic-geometry #reference-request #diophantine-equations #analytic-number-theory
227
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How to prove directly that, if $A$ is Noetherian and $X=\operatorname{Spec} A,$ then $\mathscr O_X$ is a coherent $\mathscr O_X$-module?

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#algebraic-geometry #sheaf-theory
235
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Bezout theorem for two varieties in projective space

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#algebraic-geometry
206
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Length of a composition series of a module

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#algebraic-geometry #commutative-algebra #modules
4.7k
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Why there is much interest in the study of $\operatorname{Gal}\left(\overline{\mathbb Q}/\mathbb Q\right)$?

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#algebraic-geometry #soft-question #galois-theory #extension-field #big-picture
118
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Is $\mathbb{C}$ algebraically closed (in a strong sense)?

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#abstract-algebra #algebraic-geometry #polynomials
167
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Are acyclic coverings cofinal in the set of coverings?

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#algebraic-geometry #homology-cohomology #sheaf-theory
86
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Calculate $\mathcal{O}_{X,p}$ for $X=\mathbb{V}(xy)\subset\mathbb{A}^2$

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#algebraic-geometry
569
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Can a “negative degree” line bundle on a reducible curve have global section?

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#algebraic-geometry #algebraic-curves
81
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$\mathbb{P}^1_{k'}$ is not smooth over $k$ if $k'/k$ finit inseparable

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#algebraic-geometry
97
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Rings having the same characters but not isomorphic.

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#algebraic-geometry #ring-theory #commutative-algebra #self-learning

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