User Sebastian

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When is the real Abel-Jacobi-Albanese map injective?

answered Jan 18 at 2:44

4 votes

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Let $G \subset \mathrm{GL}(n)$ be a matrix Lie group. Does there exist an affine connection under which the matrix and manifold exponential coincide?

answered Jan 9 at 4:07

4 votes

Gonality of specific Riemann surfaces $y^k=\tfrac{z^k-1}{z^k+1}$

answered Nov 30, 2023 at 8:16

4 votes

Extension of the trivial bundle by the canonical bundle on a curve

answered Feb 2, 2023 at 4:46

7 votes

Which punctured Riemann surface are the complex structures of complete minimal surfaces in $\mathbb{R}^3$?

answered Jan 8, 2023 at 4:34

5 votes

What's the limit of a sequence of harmonic maps between manifolds?

answered Dec 13, 2022 at 1:04

5 votes

Closed-form examples of CMC surfaces

answered Oct 23, 2022 at 1:48

2 votes

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Explicit computation of the vertical and horizontal vector bundles

answered May 11, 2022 at 12:02

8 votes

Explicit triples of isomorphic Riemann surfaces

answered May 3, 2022 at 11:53

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Grassmannian of line subbundle of a stable rank 2 vector bundle on a smooth projective curve

answered Dec 13, 2021 at 13:26

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Dirac operator on Kähler manifold

answered Nov 3, 2021 at 7:25

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A curve in the bundle of two forms

answered Oct 25, 2021 at 7:12

6 votes

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A counterexample to a conjecture of Lawson

answered Oct 16, 2021 at 6:44

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Schwarzian derivative, accessory parameters, projective connections

answered Sep 25, 2021 at 7:43

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Flapping wings: on a question of Kapouleas

answered Aug 24, 2021 at 17:00

5 votes

Examples of Clifford modules

answered Aug 20, 2021 at 15:28

4 votes

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Linear vector fields $\leftrightarrow$ certain differential operators

answered Aug 18, 2021 at 12:35

13 votes

Theorems with many distinct proofs

answered Aug 11, 2021 at 19:30

13 votes

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Visualizing genus-two Riemann surfaces: from the three-fold branched cover to the sphere with two handles

answered Aug 6, 2021 at 15:20

2 votes

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Family of Dolbeault operators on complex vector bundles over $\mathbb{CP}^1$

answered Aug 6, 2021 at 10:57

7 votes

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Explicit example de Rham moduli space of connections

answered Jul 29, 2021 at 9:10

6 votes

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Integration of a function over 7-sphere

answered May 26, 2021 at 9:30

3 votes

Learning roadmap for Lorentzian geometry

answered May 26, 2021 at 7:44

2 votes

Finitely connected orientable surface

answered May 25, 2021 at 9:09

1 vote

Asymptotics of constant mean curvature surfaces

answered Apr 15, 2021 at 16:12

9 votes

When do flat holomorphic connections exist?

answered Mar 1, 2021 at 8:24

1 vote

Curvature as infinitesimal holonomy 2

answered Feb 3, 2021 at 13:59

2 votes

Flat connection of a degree zero line bundle on curve

answered Feb 1, 2021 at 8:22

2 votes

Are two closed curves similar to each other if they have the same tangential vectors at the same position $\xi \in [0, 2\pi)$?

answered Dec 18, 2020 at 9:03

3 votes

"Arc" length parametrization for surfaces

answered Dec 16, 2020 at 12:39

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154 Answers

When is the real Abel-Jacobi-Albanese map injective?

Let $G \subset \mathrm{GL}(n)$ be a matrix Lie group. Does there exist an affine connection under which the matrix and manifold exponential coincide?

Gonality of specific Riemann surfaces $y^k=\tfrac{z^k-1}{z^k+1}$

Extension of the trivial bundle by the canonical bundle on a curve

Which punctured Riemann surface are the complex structures of complete minimal surfaces in $\mathbb{R}^3$?

What's the limit of a sequence of harmonic maps between manifolds?

Closed-form examples of CMC surfaces

Explicit computation of the vertical and horizontal vector bundles

Explicit triples of isomorphic Riemann surfaces

Grassmannian of line subbundle of a stable rank 2 vector bundle on a smooth projective curve

Dirac operator on Kähler manifold

A curve in the bundle of two forms

A counterexample to a conjecture of Lawson

Schwarzian derivative, accessory parameters, projective connections

Flapping wings: on a question of Kapouleas

Examples of Clifford modules

Linear vector fields $\leftrightarrow$ certain differential operators

Theorems with many distinct proofs

Visualizing genus-two Riemann surfaces: from the three-fold branched cover to the sphere with two handles

Family of Dolbeault operators on complex vector bundles over $\mathbb{CP}^1$

Explicit example de Rham moduli space of connections

Integration of a function over 7-sphere

Learning roadmap for Lorentzian geometry

Finitely connected orientable surface

Asymptotics of constant mean curvature surfaces

When do flat holomorphic connections exist?

Curvature as infinitesimal holonomy 2

Flat connection of a degree zero line bundle on curve

Are two closed curves similar to each other if they have the same tangential vectors at the same position $\xi \in [0, 2\pi)$?

"Arc" length parametrization for surfaces