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Why is the local ring mod maximal ideal isomorphic to the field?

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#algebraic-geometry
34
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From quotients to invariants

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#algebraic-geometry #curves #riemann-surfaces
149
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Grothendieck type vanishing result for Local Cohomology over not necessarily affine schemes?

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#algebraic-geometry #schemes #sheaf-cohomology #projective-schemes #local-cohomology
120
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Irreducible algebraic sets vs varieties

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#algebraic-geometry #affine-varieties
121
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Dimension of cotangent space is at least 1

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#algebraic-geometry #commutative-algebra
127
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Coordinates on $\mathcal O_{\mathbb CP^1}(-n)$

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#differential-geometry #algebraic-geometry #reference-request #complex-geometry #projective-space
317
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Proper base change for ringed spaces

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#general-topology #algebraic-geometry #sheaf-theory #ringed-spaces
155
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Confusion about blow up of affine variety and exceptional set

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#algebraic-geometry #complex-geometry
30
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Defining the scheme $GL_1(A)$. Algebras possess norms? How is the dual algebra defined?

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#abstract-algebra #algebraic-geometry
163
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Dimension of Stalk in Open Affine Set

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#algebraic-geometry #commutative-algebra #sheaf-theory
67
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Algebraic Group with two components over algebraically closed field

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#abstract-algebra #algebraic-geometry #representation-theory #algebraic-groups
281
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Chern Class of a tensor product of coherent sheaves

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#algebraic-geometry
229
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Integral morphism of schemes is separated

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#algebraic-geometry #commutative-algebra
346
Views

Is the tensor product a reflexive sheaf?

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#algebraic-geometry #sheaf-theory
60
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$X \to C$ is Finite Etale Map and $C$ Smooth Curve then $X$ also Smooth

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#algebraic-geometry #algebraic-curves

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