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Projective line has genus 0

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#algebraic-geometry #curves #algebraic-curves #projective-geometry
108
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Is an inflection point of an algebraic cuve intrinsic?

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#algebraic-geometry #algebraic-curves
2k
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What is a self-intersection of an algebraic curve?

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#polynomials #algebraic-curves
92
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Sum of multiplicities of a plane curve

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#algebraic-curves
191
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Calculating the genus of Quartic model $y^2=x^4+bx^3+cx^2+dx+e$ of elliptic curves.

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#number-theory #algebraic-geometry #elliptic-curves #algebraic-curves
37
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Some special class of rational curves.

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#complex-analysis #algebraic-geometry #algebraic-curves #birational-geometry
87
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Reference request: Knots that don't come from Milnor spheres.

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#algebraic-curves #knot-theory #singularity #singularity-theory #knot-invariants
218
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Intersection number between a curve and a line not a component of the curve

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#algebraic-geometry #algebraic-curves #intersection-theory
189
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Understanding the definition and properties of $g^r_d$ and linear systems of divisors

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#algebraic-geometry #algebraic-curves
134
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Verify my solution: dim of quotient ring using Jacobian criterion (algebraic geometry)

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#abstract-algebra #algebraic-geometry #commutative-algebra #algebraic-curves
88
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Proof that an algebraic function is (almost) completely characterized by its divisor or principal parts

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#reference-request #algebraic-curves
61
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Parameterizing a quadric curve

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#algebraic-curves #parametrization
98
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Problem in Rick Miranda - check that map is unramified

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#algebraic-curves #riemann-surfaces #ramification
158
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If $m_P(F)=r\geq 0$, then for all but finite lines $L$ through $P$, $\# L\cap F=n-r+1$

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#polynomials #algebraic-curves #projective-space
257
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Dimension of $l(nP)$ Riemann-Roch space

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#algebraic-geometry #algebraic-curves

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