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Finding an example of a degree 5 rational curve in $\mathbb{P}^3$ which is not in a quadric.

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#algebraic-geometry #algebraic-curves
328
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number of rational points of hyper elliptic curve $y^5=-x^2+x$ over $\Bbb{F}_{121}$

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#number-theory #finite-fields #elliptic-curves #algebraic-curves #arithmetic-geometry
116
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ruled surface over $\Bbb{P}^1$ contains the affine plane $\Bbb{A}^2$

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#algebraic-geometry #algebraic-curves #riemann-surfaces
63
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genus of a curve $y^p=-x^2+x$ for odd prime $p$

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#algebraic-geometry #algebraic-curves #arithmetic-geometry
193
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Residue field of DVR

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#algebraic-geometry #commutative-algebra #extension-field #algebraic-curves #local-rings
74
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Polynomial complex equation with conjugates

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#algebraic-geometry #complex-numbers #algebraic-curves
191
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Locally free resolution of coherent sheaves on nonsingular curves

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#algebraic-geometry #algebraic-curves #coherent-sheaves
244
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Hartshorne Exercise II 6.11 (c)

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#algebraic-geometry #algebraic-curves #coherent-sheaves
91
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Coordinate Rings of Algebraic Curves

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#algebraic-geometry #algebraic-curves
127
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Is this $1$-form holomorphic?

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#complex-analysis #algebraic-geometry #differential-forms #algebraic-curves #riemann-surfaces
63
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Smooth affine plane curve: Differentials

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#algebraic-geometry #differential-forms #algebraic-curves #affine-geometry
307
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Finitely many intersection points between a real analytic curve and an algebraic curve.

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#algebraic-geometry #analytic-number-theory #algebraic-curves #analytic-functions
27
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Why is nodal cubic the most general singular cubic?

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#algebraic-geometry #curves #algebraic-curves #plane-curves
215
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Degree of the image of a curve given by canonical divisor

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#algebraic-geometry #curves #schemes #algebraic-curves
115
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Infinite dimensional space of regular functions over a punctured curve

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#algebraic-geometry #curves #projective-geometry #algebraic-curves

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