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Flatness on the affine line for a coherent sheaf

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#algebraic-geometry #commutative-algebra
534
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Basic question: degree of normal bundle is not self-intersection number

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#algebraic-geometry #reference-request #surfaces #vector-bundles #intersection-theory
94
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Proof in Shafarevich that local ring is normal

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#algebraic-geometry
263
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Intersection Number of $B = Y^2 - X^3 + X$ and $F = (X^2 + Y^2)^3 - 4X^2Y^2$ using the fact $I(P,F \cap B) = ord_P^B(F) $.

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#algebraic-geometry #algebraic-curves
399
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Reference request: second Chern class of P^2

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#algebraic-geometry #vector-bundles #projective-space #characteristic-classes
208
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What is the etale fundamental group of Z((x))?

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#geometry #algebraic-geometry
62
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3 planes in $\mathbb{C}^4$ (or stabilizer of 3 points in Gr(2,4))

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#algebraic-geometry
1.3k
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toroidal compactification

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#combinatorics #algebraic-geometry
583
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Calculating of genus of a curve

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#number-theory #algebraic-geometry #computer-science #finite-fields #algebraic-curves
280
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Finding the uniformising parameter of a DVR

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#abstract-algebra #algebraic-geometry #plane-curves
1.7k
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Multiplicity of intersection between tangent and elliptic curve

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#algebraic-geometry #proof-writing #elliptic-curves
61
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How to prove that a morphism of schemes preserves the surjectivity of ring endomorphisms?

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#algebraic-geometry #schemes
89
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Algebraic function $u\in C^\infty(\Bbb R^n)$

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#algebraic-geometry #real-algebraic-geometry
419
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Why is the extension $k(x,\sqrt{1-x^2})/k$ purely transcendental?

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#abstract-algebra #algebraic-geometry #field-theory #extension-field #algebraic-curves
82
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Number of connected components of $f^{-1} (U)$

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#general-topology #algebraic-geometry #analyticity

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