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Looking For Sources Regarding Certain Riemann Surface Facts About Complex Tori

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#algebraic-geometry #complex-geometry #algebraic-curves #riemann-surfaces #projective-varieties
551
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Why do we classify algebraic curves primarily by genus and not degree?

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#geometry #surfaces #curves #algebraic-curves
208
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Geometric Intuition for the Genus of a Curve

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#algebraic-geometry #algebraic-curves
116
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Hyperelliptic curves defined by rational function in characteristic two

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#algebraic-geometry #curves #algebraic-curves
81
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Constructing $g$ holomorphic differentials on $\omega^3=(z-1) \cdots (z-8)$

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#differential-forms #algebraic-curves #riemann-surfaces
78
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Can a maximal ideal of $k[x, y] / (f)$ be embedded as a maximal ideal of $k'[x, y] / (f)$ where $k'$ is the algebraic closure of $k$?

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#abstract-algebra #algebraic-geometry #algebraic-curves #maximal-and-prime-ideals
113
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Ring appearing as a quotient of a local ring

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#algebraic-geometry #polynomials #commutative-algebra #algebraic-curves #local-rings
2.2k
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Branched cover in algebraic geometry

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#algebraic-geometry #algebraic-curves #projective-varieties
122
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Hyperosculating point count

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#algebraic-geometry #algebraic-curves #riemann-surfaces
475
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Remembering Riemann-Roch

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#algebraic-geometry #complex-geometry #algebraic-curves #riemann-surfaces #line-bundles
300
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Morphism of curves and Jacobian

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#algebraic-geometry #curves #algebraic-curves #picard-scheme
188
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Question about how to use projective transformation to simplify condisions

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#algebraic-curves #projective-geometry #projective-space
92
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Parametrizing the curve $2 x^2 + x^4 + 2 y^2 = 1$

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#geometry #analytic-geometry #algebraic-curves #plane-curves #parametrization
40
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How to find a relation between three terms

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#trigonometry #systems-of-equations #algebraic-curves
91
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Equality for Dimensions of Vector Spaces of Meromorphic Functions

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#algebraic-geometry #algebraic-curves #riemann-surfaces

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