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Geometric Trapezium Problem Solving

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#geometry #algebraic-geometry #problem-solving
232
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Parametrization of varieties

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#algebraic-geometry #reference-request #parametrization
121
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Questions about Zeta Function of Singular Plane Curve

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#number-theory #algebraic-geometry #reference-request #elliptic-curves #arithmetic-geometry
122
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Let $F(X,Y,Z)=5X^2+3Y^2+8Z^2+6(YZ+ZX+XY)$. Find $(a,b,c) \in \mathbb{Z}^3$ not all divisible by $13$, such that $F(a,b,c)\equiv 0 \pmod{13^2}$.

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#abstract-algebra #algebraic-geometry #elliptic-curves #algebraic-curves #plane-curves
1.2k
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Is a bijective morphism between affine varieties an isomorphism?

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#algebraic-geometry #affine-varieties #morphism #closed-map
88
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$I(P, C \cap D)=1$ iff $P$ is nonsingular on both $C$ and $D$ and the tangent lines to $C$ and $D$ at $P$ are distinct.

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#algebraic-geometry #algebraic-curves #curves
233
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Purpose of the anchor map, Lie algebroid

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#algebraic-geometry #definition #sheaf-theory #lie-algebroids
372
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upper semicontinuity of fiber dimension with target dimension 0

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#algebraic-geometry
473
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composition of finite morphism

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#abstract-algebra #algebraic-geometry #commutative-algebra
584
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Geometric interpretation of the Noether normalization lemma

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#abstract-algebra #algebraic-geometry #commutative-algebra
72
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How to proof a real variety is not locally a manifold

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#differential-geometry #algebraic-geometry #real-algebraic-geometry
41
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Get X and Y coordinates after adding d to the length of a line

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#algebraic-geometry #pythagorean-triples
324
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pole at infinity of differential on elliptic curve

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#algebraic-geometry #elliptic-curves
219
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Why is any coarse moduli space for hypersurfaces is a categorical quotient?

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#algebraic-geometry #algebraic-groups #moduli-space
89
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Characterizations of bounded real zero sets

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#algebraic-geometry #polynomials #real-algebraic-geometry

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