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Finding a meromorphic function on a compact Riemann surface with prescribed zero and pole

score 547 · Answer 1 · 2026-04-10 21:46:19

547

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Finding a meromorphic function on a compact Riemann surface with prescribed zero and pole

Published on 10 Apr 2026 - 21:46

score 343 · Answer 2 · 2026-05-10 16:56:42

343

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Is it always possible to project a smooth projective plane curve to $\mathbb{P}^1$?

Published on 10 May 2026 - 16:56

score 1.2k · Answer 3 · 2026-04-14 22:28:12

1.2k

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automorphism of complex torus

Published on 14 Apr 2026 - 22:28

score 636 · Answer 4 · 2026-05-10 16:32:49

636

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Analogue of complex infinity for quaternions

Published on 10 May 2026 - 16:32

score 419 · Answer 5 · 2026-04-10 18:50:16

419

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Path to Riemann Surfaces and Complex Geometry

Published on 10 Apr 2026 - 18:50

score 203 · Answer 6 · 2026-05-10 14:52:30

203

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Profinite groups as Galois groups over $\Bbb C(X)$

Published on 10 May 2026 - 14:52

score 246 · Answer 7 · 2026-04-17 02:31:23

246

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Line bundle on a curve is positive iff it has positive degree

Published on 17 Apr 2026 - 2:31

score 71 · Answer 8 · 2026-04-14 07:02:32

Show that $f$ maps the annulus $G=\{z \in \mathbb{C} : r_{0} < |z| <r_{1}\}.$ into the annulus $\{z \in \mathbb{C} : R_{0} < |z| <R_{1}\}$

score 201 · Answer 9 · 2026-04-14 08:16:10

201

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What is the role of the genus in the double cover of a rational normal curve by a hyperelliptic curve?

Published on 14 Apr 2026 - 8:16

score 594 · Answer 10 · 2026-05-10 15:08:39

594

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Elliptic subgroup of $PSL(2,\mathbb C)$

Published on 10 May 2026 - 15:08

score 216 · Answer 11 · 2026-04-09 18:23:01

216

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Two questions about the proof of Clifford's theorem for compact Riemann surfaces.

Published on 09 Apr 2026 - 18:23

score 110 · Answer 12 · 2026-04-16 14:59:23

110

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X function of Riemann surface $y^3=(x-x_1)*(x-x_2)$

Published on 16 Apr 2026 - 14:59

score 554 · Answer 13 · 2026-05-10 18:59:08

554

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When a holomorphic function between hyperbolic surfaces is a covering map.

Published on 10 May 2026 - 18:59

score 65 · Answer 14 · 2026-04-25 16:42:09

65

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Does the locally-ringed spaces viewpoint on topology actually do what we want?

Published on 25 Apr 2026 - 16:42

score 145 · Answer 15 · 2026-05-10 16:36:02

145

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A question about A new proof of a theorem of Narasimhan and Seshadri

Published on 10 May 2026 - 16:36

List Question

Finding a meromorphic function on a compact Riemann surface with prescribed zero and pole

Is it always possible to project a smooth projective plane curve to $\mathbb{P}^1$?

automorphism of complex torus

Analogue of complex infinity for quaternions

Path to Riemann Surfaces and Complex Geometry

Profinite groups as Galois groups over $\Bbb C(X)$

Line bundle on a curve is positive iff it has positive degree

Show that $f$ maps the annulus $G=\{z \in \mathbb{C} : r_{0} < |z| <r_{1}\}.$ into the annulus $\{z \in \mathbb{C} : R_{0} < |z| <R_{1}\}$

What is the role of the genus in the double cover of a rational normal curve by a hyperelliptic curve?

Elliptic subgroup of $PSL(2,\mathbb C)$

Two questions about the proof of Clifford's theorem for compact Riemann surfaces.

X function of Riemann surface $y^3=(x-x_1)*(x-x_2)$

When a holomorphic function between hyperbolic surfaces is a covering map.

Does the locally-ringed spaces viewpoint on topology actually do what we want?

A question about A new proof of a theorem of Narasimhan and Seshadri

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