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Why isn't every finite locally free morphism etale?

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#algebraic-geometry #schemes
138
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Morphisms of locally ringed spaces and functors of points

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#algebraic-geometry #schemes #functors #zariski-topology
147
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What is the linear system to an invertible sheaf?

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#algebraic-geometry #schemes
70
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Kernel of $k[u_{00},u_{01},u_{10},u_{11}]\rightarrow \bigoplus_{n\geq0}(k[x_0,x_1]_n\otimes k[y_0,y_1]_n)$

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#algebraic-geometry #commutative-algebra #schemes
530
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When/why is a point on a curve an effective Cartier divisor?

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#algebraic-geometry #schemes #divisors-algebraic-geometry
136
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Torsors and trivializations of a quasi-coherent sheaf

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#number-theory #algebraic-geometry #schemes
191
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Very ample divisor on elliptic curves

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#algebraic-geometry #curves #elliptic-curves #schemes
370
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inverse image of fiber product of scheme

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#algebraic-geometry #schemes #divisors-algebraic-geometry #fibre-product
341
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Functor of Points and Schemes

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#algebraic-geometry #schemes
125
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Prove that $\Delta(x) = x \otimes1 + 1 \otimes x$ mod $I \otimes I $ for all $x \in I$.

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#category-theory #schemes #algebraic-groups #hopf-algebras #group-schemes
423
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Definition of twisted sheaf on projective scheme

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#algebraic-geometry #schemes
182
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Base change of purely inseparable extension

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#algebraic-geometry #commutative-algebra #field-theory #schemes
74
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Generalisations belong to any affine open subset of a scheme

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#algebraic-geometry #schemes #affine-schemes
121
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Quasi-finite morphism into affine scheme is affine?

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#algebraic-geometry #commutative-algebra #schemes
108
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Under what conditions is a product of dominant morphisms dominant?

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#algebraic-geometry #schemes

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