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Zeta functions of hyperelliptic curves

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#algebraic-geometry #finite-fields #algebraic-curves #zeta-functions
64
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Resolving a Node of a Plane Curve

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#algebraic-geometry #algebraic-curves #riemann-surfaces #singularity-theory
153
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smooth proper connected curve over a field is projective

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#algebraic-geometry #algebraic-curves
81
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On the definition of singular points for algebraic curves

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#geometry #curves #algebraic-curves #singularity
30
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Properties of the symmetric square of a curve

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#algebraic-geometry #number-theory #algebraic-curves
36
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On Siegel's Theorem in integer points.

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#algebraic-geometry #algebraic-curves #integer-lattices
23
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Why is $K_C^3$ very ample for smooth curves?

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#algebraic-curves
98
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Silverman's proof of III.6.2(c) (dual of sum of two isogenies is the sum of the duals)

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#elliptic-curves #schemes #algebraic-curves
192
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What must be true for thirteen points to impose independent conditions on quartics?

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#algebraic-geometry #algebraic-curves #quartics
82
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Parameterisation of Curve in projective space

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#algebraic-geometry #projective-geometry #algebraic-curves
78
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Dedekind Domain gives rise to "smooth" curve.

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#algebraic-geometry #algebraic-number-theory #algebraic-curves
94
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Group action of $\text{Aut}(X)$ on ramification points (Hartshorne, exercise IV.2.5)

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#group-theory #algebraic-geometry #commutative-algebra #algebraic-curves
44
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A generator which is algebraic

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#abstract-algebra #field-theory #algebraic-number-theory #extension-field #algebraic-curves
81
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Projective curve without regular points?

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#algebraic-geometry #finite-fields #algebraic-curves
90
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A question in the definition of the function field of a projective variety

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#algebraic-geometry #algebraic-curves

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