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$|V(f)\cap V(g)|<\infty$, if $C_f, \ C_g$ with no common components

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#algebraic-geometry #proof-explanation #algebraic-curves
273
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Least degree of positive part in degree zero divisor class on compact Riemann surfaces

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#algebraic-geometry #algebraic-curves #riemann-surfaces #divisors-algebraic-geometry
1.4k
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What is an algebraic curve?

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#algebraic-geometry #definition #algebraic-number-theory #algebraic-curves #riemann-surfaces
624
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affine irreducible hypersurface with infinite singular points?

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#algebraic-geometry #algebraic-curves
305
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Irreducibility of multivariate polynomial implies irreducibility of specializations?

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#abstract-algebra #algebraic-geometry #irreducible-polynomials #algebraic-curves
227
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Group structure on the elliptic curve.

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#algebraic-geometry #algebraic-curves #elliptic-curves #riemann-surfaces #elliptic-functions
64
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Projective planes in higher dimensions

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#algebraic-geometry #algebraic-topology #algebraic-curves
378
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Curves that intersect non-negatively with effective divisors

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#algebraic-geometry #algebraic-topology #homology-cohomology #algebraic-curves #intersection-theory
915
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Elementary reason why an effective canonical divisor is a hyperplane section

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry
720
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(first) cohomology $H^1$ of sheaves on curves

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#algebraic-geometry #algebraic-curves #sheaf-theory #curves #sheaf-cohomology
420
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What is the graph of cubic equation..

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#geometry #conic-sections #algebraic-curves #curves #cubics
868
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Isomorphic plane curves and projective equivalence

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#algebraic-geometry #algebraic-curves
391
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Points of intersection between tangent line and elliptic curve

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#algebraic-geometry #algebraic-curves #elliptic-curves
369
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Vector space of differential forms on a curve

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#algebraic-geometry #differential-forms #algebraic-curves #elliptic-curves
150
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Find algebraic equation for epicycloid $\theta \mapsto 4 e^{i\theta} - e^{4i\theta}$

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#algebra-precalculus #polar-coordinates #algebraic-curves #plane-curves

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