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Nowhere zero holomorphic function with no logarithm

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#complex-analysis #algebraic-geometry #algebraic-curves #riemann-surfaces
130
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What is the genus of compact Riemann surface: $\Sigma =\{[X,Y,Z]\in \mathbb{C}P^2: Z^2=XY\}.$

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#geometry #algebraic-geometry #algebraic-curves #riemann-surfaces
60
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Riemann's theorem on rational curves

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#general-topology #math-history #algebraic-curves #rational-functions
543
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Measuring a curve with Dirac delta function.

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#real-analysis #algebraic-curves
307
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How to compute divisor degrees over non-algebraically closed fields

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry
56
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Curve of center of third circle

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#geometry #algebraic-curves
389
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Proof that "Two elliptic curves which are birationally equivalent are isomorphic".

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#elliptic-curves #algebraic-curves
106
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Is it possible that irreducible components of curves have greater genus than the original curve?

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#algebraic-geometry #algebraic-curves #projective-geometry #projective-schemes
59
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Is there a bound on the number of irreducible components in terms of the (arithmetic) genus?

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#algebraic-geometry #algebraic-curves #projective-geometry #schemes
137
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How to show that $\ell(D)=\deg(D)+1+\frac{(d-1)(d-2)}{2}$ for the divisor $D=\operatorname{div}(z^n)$

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#algebraic-geometry #commutative-algebra #algebraic-curves #plane-curves
873
Views

Dual Curve of Cubic

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#algebraic-geometry #algebraic-curves
845
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Precise definition of an "algebraic function"

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#real-analysis #algebraic-geometry #polynomials #algebraic-curves
193
Views

Normalization of Curve $x-y^n=0$

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#algebraic-geometry #algebraic-curves
341
Views

Is there a special case for equations of curves that have parallel oblique asymtotes?

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#calculus #algebra-precalculus #asymptotics #algebraic-curves
220
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Equivalent definitions for node

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#algebraic-geometry #commutative-algebra #algebraic-curves

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