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15
204
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Why is "locally of finite type" stable under faithfully flat descent?

Published on
#algebraic-geometry
707
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Hartshorne II Prop. 6.8 (last step).

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#proof-verification #algebraic-geometry #algebraic-curves
675
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Hyperplane tangent to a projective variety.

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#algebraic-geometry #complex-geometry #projective-geometry
1.1k
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Equivalent definitions of Dual of a variety.

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#differential-geometry #algebraic-geometry #projective-geometry
420
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Strict Epimorphism of Schemes

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#algebraic-geometry #category-theory #etale-cohomology #epimorphisms
57
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$(\mathfrak{m}\otimes_{k'}\overline{k})=\mathfrak{m}_1\mathfrak{m}_2\cdots\mathfrak{m}_d$ for Separated Field $k'$

Published on
#algebraic-geometry
237
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When is a polynomial map is algebraic set?

Published on
#algebraic-geometry #affine-varieties
82
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Why is the ratio of any two sides of an equilateral triangle on a complex plane equal to a complex cubic root of unity?

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#complex-analysis #algebraic-geometry #complex-numbers #triangles
53
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Determining a subset of $\mathbb{C}^2$

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#differential-geometry #algebraic-geometry #algebraic-topology #complex-geometry
131
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Restricting a module to the irreducible components of an affine curve is injective

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#algebraic-geometry #ring-theory #commutative-algebra #modules
1.3k
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Is the closed immersion of a smooth subscheme of a smooth scheme, a smooth morphism?

Published on
#algebraic-geometry
344
Views

Serre duality in Cech cohomology

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#algebraic-geometry #complex-geometry #riemann-surfaces #sheaf-cohomology
51
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Etale lifting of an isomorphism

Published on
#algebraic-geometry
77
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Divisor proof of the Fundamental Theorem of Algebra

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#proof-verification #algebraic-geometry
122
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Can a semialgebraic function be continuously extended to the closure of its domain?

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#real-analysis #general-topology #algebraic-geometry #algebraic-topology

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