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How to show that an object is a discrete valuation ring? (Fulton, Exercise 2.14)

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#abstract-algebra #algebraic-geometry #commutative-algebra #algebraic-curves
161
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What does the power of an ideal *mean*?

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#ideals #intuition #algebraic-curves #products #valuation-theory
1.7k
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How can I get smooth curve at the sigmoid function?

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#algebraic-curves #curves
94
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$\mathbb{F}_4(x,y) / \mathbb{F}_4(x)$ is a Galois extension, with $\mathbb{F}_4(x,y)$ a function field of an algebraic curve

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#abstract-algebra #algebraic-geometry #galois-theory #finite-fields #algebraic-curves
122
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The Galois closure of $\mathbb{F}_2(x,y) / \mathbb{F}_2(x)$

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#abstract-algebra #galois-theory #finite-fields #algebraic-curves
149
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Is the union of two projective curves in the projective plane a projective curve?

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#abstract-algebra #complex-analysis #algebraic-geometry #algebraic-curves #projective-geometry
2.3k
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How to curve fit an unknown function?

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#linear-algebra #graphing-functions #algebraic-curves #correlation #curves
565
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Euler characteristic of a singular fiber

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#algebraic-geometry #algebraic-topology #algebraic-curves #fiber-bundles
386
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Laguerre's theorem on power of a point w.r.t. an algebraic curve

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#geometry #reference-request #algebraic-curves
8.7k
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Rational parametrization of circle in Wikipedia

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#trigonometry #analytic-geometry #algebraic-curves
912
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Number of inflection points of an algebraic projective curve

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#algebraic-geometry #algebraic-curves #projective-geometry
75
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Reflexive sheaves on stable curves-II

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#algebraic-geometry #algebraic-curves #coherent-sheaves
785
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Maximum number of intersection points of two different Bernoulli lemniscates

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#algebraic-geometry #algebraic-curves #plane-curves #real-algebraic-geometry
1.6k
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‘Integral’ of a Weierstrass $ \wp $-function.

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#complex-analysis #algebraic-curves #complex-geometry
401
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Rate of Change of a Multivariable Function

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#calculus #multivariable-calculus #partial-derivative #algebraic-curves

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