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An Algebraic Framework for Mechanical Curves

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#algebraic-geometry #curves #algebraic-curves
113
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Algebraic Curve of genus $2$ and map to smooth projective plane conic

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#algebraic-curves #riemann-surfaces #divisors-algebraic-geometry
67
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Relating $l(A),l(B)$ and $l(A+B)$ for Weil divisors on a smooth projective curve

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry #projective-varieties
594
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Degree of a finite morphism $f: X\to \mathbb P^1$ induced from a non-constant rational function in the Riemann-Roch space of a divisor

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry #projective-varieties
95
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Deriving the bivariate polynomial basis functions

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#polynomials #surfaces #curves #algebraic-curves
114
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Computing curvature along planar intersection curves on a general surface $z = S(x,y)$

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#differential-geometry #surfaces #curves #algebraic-curves #curvature
41
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Existence of an algebraic function on a disc, in an elementary way

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#complex-analysis #field-theory #algebraic-curves #elementary-functions #meromorphic-functions
79
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Very ample complete linear systems on real curves

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#sheaf-theory #algebraic-curves #projective-space #divisors-algebraic-geometry
112
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Tangent Hyperplane $H$ to $X$ at $p \in X$ and hyperplane divisor $\operatorname{div}(H)$.

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#algebraic-geometry #algebraic-curves #riemann-surfaces
55
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The name of a quartic curve: The product of the distance to the focus and to the directrix is the constant.

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#terminology #algebraic-curves #locus
334
Views

Confusion in the relationship between compact riemann surfaces and complex algebraic curves

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#complex-geometry #algebraic-curves #riemann-surfaces
209
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poles of the rational differential form $df$

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#algebraic-geometry #elliptic-curves #algebraic-curves
263
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Irreducibility of Projective Algebraic Sets

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#algebraic-geometry #solution-verification #algebraic-curves #projective-geometry #projective-space
727
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A good way to proceed to Hartshorne.

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#algebraic-geometry #commutative-algebra #algebraic-curves #riemann-surfaces
72
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Is there a cubic singular at 9 general points

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#algebraic-geometry #algebraic-curves

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