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Problem about irreducible veriety in Algebraic Geometry

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#algebraic-geometry
419
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det-1 is irreducible

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#algebraic-geometry #affine-varieties
86
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$\mathbb{T}^4/\mathbb{Z}_2$, $\mathbb{T}^2/\mathbb{Z}_2$, and $\mathbb{CP}^1$

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#algebraic-geometry #geometric-topology #projective-space #projective-module #surgery-theory
105
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Pullback in Descent for Vector Bundles

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#algebraic-geometry #category-theory
478
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Why the sheaf of abelian groups so fundamental?

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#algebraic-geometry #abelian-groups #sheaf-cohomology
52
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Global sections of $X×_{\operatorname{Spec}(k)}\operatorname{Spec}(R)$

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#abstract-algebra #algebraic-geometry #commutative-algebra
140
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Relating pullbacks of tautological bundles

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#algebraic-geometry #vector-bundles #grassmannian
62
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What's the meaning of $\mathcal O_S$-algebra?

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#algebraic-geometry #sheaf-theory #schemes
64
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How to show the two definitions of $\mathcal O_S$-algebra are equivalent?

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#algebraic-geometry #sheaf-theory #schemes
48
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Which page can I find the definition of $\mathcal O_S$-algebra in "Stacks Project"?

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#algebraic-geometry #sheaf-theory #schemes
303
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Why is there only one way to glue projective space from affines?

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#algebraic-geometry
107
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Do solutions over $\mathbb{F}_{p^n}$ tell me anything about solutions over $\mathbb{Q}_p$?

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#algebraic-geometry #diophantine-equations #finite-fields
47
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Proof of a unique intersection of non-parralel lines (from Serge Lang's Basic Mathematics)

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#algebraic-geometry #analytic-geometry
89
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Extending valuation to function field

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#algebraic-geometry
71
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Global sections of pullback of $G$-equivariant $D_Z$-modules

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#algebraic-geometry #algebraic-groups #localization #d-modules

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