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Projective cubic curve passing through seven points in $\mathbb{C}^2$

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#algebraic-geometry #algebraic-curves #projective-geometry
202
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What is the role of the genus in the double cover of a rational normal curve by a hyperelliptic curve?

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#algebraic-geometry #algebraic-curves #riemann-surfaces
59
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Are regular maps between degree $2$ curves in affine $2$-space just affine maps?

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#algebraic-geometry #algebraic-curves
217
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Two questions about the proof of Clifford's theorem for compact Riemann surfaces.

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#algebraic-curves #riemann-surfaces
807
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Multiplicity of point of algebraic plane curve

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#linear-algebra #algebraic-geometry #commutative-algebra #algebraic-curves #local-rings
242
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Finding the area enclosed by two curves when are areas under the x axis.

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#integration #definite-integrals #area #algebraic-curves
175
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How can I find the Weierstrass form of an elliptic curve given as a singular quartic?

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#algebraic-geometry #elliptic-curves #algebraic-curves
2.2k
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In the proof that an algebraic set $V$ is irreducible iff $I(V)$ is prime.

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#abstract-algebra #algebraic-geometry #algebraic-curves #maximal-and-prime-ideals
256
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Fiber product of irreducible curves

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#algebraic-geometry #algebraic-curves
88
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Are finite extensions of global function fields always simple?

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#abstract-algebra #finite-fields #extension-field #algebraic-curves #function-fields
719
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Double Cover Map of Hyperelliptic Curve is Unique

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#algebraic-geometry #complex-geometry #algebraic-curves #riemann-surfaces
232
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Generators of the first homology group of a hyperelliptic curve.

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#algebraic-topology #homology-cohomology #algebraic-curves #riemann-surfaces
54
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How to flatten out a curve based on the dot product to be linear?

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#linear-algebra #algebraic-curves #spherical-coordinates #angle #spherical-trigonometry
138
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The function field of an affine plane curve has transcendence degree one

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#algebraic-geometry #reference-request #algebraic-curves
49
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What part of algebra can I use to describe linked curves?

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#abstract-algebra #algebraic-topology #algebraic-curves

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