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Dimension of $H^1(S,E)$

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#riemann-surfaces #homology-cohomology
180
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Riemann Surfaces Question (Complex Analysis)

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#complex-analysis #riemann-surfaces
87
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Can different uniformizations of Riemann surfaces be related somehow

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#algebraic-geometry #soft-question #riemann-surfaces #hyperbolic-geometry
800
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#riemann-surfaces #hyperbolic-geometry
1.6k
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Literature on the hyperelliptic involution

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435
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Transition functions are holomorphic

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#complex-analysis #riemann-surfaces
345
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Left and Right Vector bundles

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#differential-geometry #riemann-surfaces #quaternions
263
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zeroes of forms on Riemann surfaces

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#algebraic-geometry #riemann-surfaces #algebraic-curves #differential-forms
721
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Smallest genus example of a non planar curve

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#algebraic-geometry #riemann-surfaces #algebraic-curves #arithmetic-geometry
1.6k
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how to understand the tensor product canonical line bundle $\otimes$ dual bundle

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#complex-analysis #differential-geometry #riemann-surfaces #multilinear-algebra #differential-forms
1.2k
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Is every algebraic curve birational to a planar curve

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#algebraic-geometry #riemann-surfaces #algebraic-curves
242
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Why are these curves not defined over a smaller field

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#algebraic-geometry #riemann-surfaces #algebraic-curves #arithmetic-geometry
3.8k
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orientability of riemann surface

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#riemann-surfaces
1.2k
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conformally equivalent riemann surfaces

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#riemann-surfaces
94
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why this map is injective?

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#riemann-surfaces

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