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The abelian subgroup of modular group is infinite cyclic?

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#complex-analysis #group-theory #riemann-surfaces #modular-forms
560
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A good reference to study the Riemann Roch theorem for Varieties (specially surfaces)

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#geometry #algebraic-geometry #surfaces #riemann-surfaces
371
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algebraic curve's branchpoints

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#algebraic-geometry #complex-geometry #riemann-surfaces #ramification
772
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Looking for elementary proof that irreducible/smooth curve in $\mathbb C^2$ is connected in Euclidean topology of $\mathbb C^2$

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#reference-request #commutative-algebra #algebraic-curves #riemann-surfaces #affine-geometry
85
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Riemann surfaces in real analysis?

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#real-analysis #complex-analysis #riemann-surfaces
909
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Determine all the meromorphic 1-forms on the compact surfaces with poles

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#complex-analysis #differential-topology #riemann-surfaces
208
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Riemann Surface Comprehension

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#riemann-surfaces
49
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About the space of divisor $L(D):=\{f: \text{meromorphic}, (f)+D\geq 0\}$

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#complex-analysis #algebraic-geometry #riemann-surfaces
934
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Holomorphic 1-form on Projective Curve

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#algebraic-geometry #riemann-surfaces #projective-space
226
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Understanding the construction of Riemann surface for $\xi^3-z\xi^2-(a^2-1)\xi+za^2=0$.

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#complex-analysis #riemann-surfaces
65
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Greens's formula with Hodge-*

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#integration #riemann-surfaces #greens-function
261
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Geometric meaning of an integral on a compact Riemann surface

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#integration #differential-forms #complex-geometry #riemann-surfaces
328
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Reference Request: Degree of a holomorphic vector bundle over a compact Riemann Surface

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#differential-geometry #complex-geometry #vector-bundles #riemann-surfaces
135
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How are the sheets of $y^3 = x(x-1)(x+1)$ arranged?

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#complex-analysis #homotopy-theory #riemann-surfaces #covering-spaces
4.3k
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Defition of the Degree of a line bundle

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#differential-geometry #smooth-manifolds #vector-bundles #riemann-surfaces

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