User Mohan Ramachandran

27 votes

Accepted

Does every group arise as the fundamental group of a complete Kähler manifold?

answered Mar 4, 2021 at 0:31

21 votes

Fundamental groups of noncompact surfaces

answered Mar 17, 2010 at 13:57

21 votes

Least collaborative mathematician

answered Jun 21, 2010 at 17:15

21 votes

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Does a Kähler manifold always admit a complete Kähler metric?

answered May 25, 2016 at 18:03

19 votes

Continuous + holomorphic on a dense open => holomorphic?

answered Aug 7, 2010 at 15:51

18 votes

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Hartogs' theorem for real-analytic subvarieties

answered Apr 7, 2021 at 1:39

14 votes

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A geometric characterization of smooth points of a complex algebraic variety

answered Jun 29, 2014 at 16:56

13 votes

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Kähler manifold which is not algebraic

answered Jan 29, 2010 at 20:53

13 votes

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Artin vanishing for Stein manifolds and restriction maps

answered Sep 2, 2021 at 18:59

12 votes

Poincaré lemma for distributions

answered Feb 12, 2016 at 19:55

11 votes

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Is there a divisor in $\mathbb P^2$ such that all analytic maps into its complement algebraize?

answered Jun 1, 2016 at 18:39

9 votes

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The properness of a submersion

answered Nov 10, 2014 at 20:08

8 votes

Green's function - Hyperbolic Riemann surface

answered May 6, 2013 at 13:46

8 votes

Hyperbolic Riemann Surface

answered May 6, 2013 at 15:18

8 votes

Accepted

Stein manifolds definiton

answered May 13, 2013 at 17:56

8 votes

Haar measure on a quotient, References for

answered Feb 5, 2010 at 16:57

8 votes

$\partial \bar{\partial}$ lemma for contractible domains

answered Mar 25, 2011 at 17:38

8 votes

Harmonic functions on $(M,g)$ closed, induce an embedding in Euclidean space

answered Mar 2, 2018 at 19:10

7 votes

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Connectedness of boundary of a Stein domain

answered Oct 4, 2021 at 15:59

7 votes

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Is every nonnegatively curved plane conformal to the complex plane?

answered Mar 16, 2011 at 20:05

7 votes

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Essential uniqueness of the real-analytic structure on $\mathbb R$

answered Jan 17, 2013 at 17:48

7 votes

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Acyclicity of the sheaf of real analytic differential forms

answered Apr 17, 2015 at 15:18

6 votes

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Uniformization of a plane minus cantor set

answered Nov 10, 2014 at 17:31

6 votes

how many nonparabolic ends guarantee a nonconstant harmonic function on Riemannian manifold?

answered Dec 24, 2012 at 15:55

6 votes

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Long-time decay of heat kernel on compact manifolds

answered Nov 4, 2016 at 18:49

6 votes

Homology Sphere Embedding into $\mathbb R^4$

answered Mar 29, 2017 at 15:29

5 votes

Is hyperbolicity a Zariski open condition?

answered Aug 30, 2016 at 20:43

5 votes

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Plurisubharmonic function and complete Kähler metric on certain Kähler manifold

answered Sep 16, 2016 at 21:56

5 votes

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Monodromy representations and branched covers

answered Oct 28, 2016 at 21:14

5 votes

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Dimension of intersection of real analytic sets

answered Mar 2, 2022 at 21:06

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53 Answers

Does every group arise as the fundamental group of a complete Kähler manifold?

Fundamental groups of noncompact surfaces

Least collaborative mathematician

Does a Kähler manifold always admit a complete Kähler metric?

Continuous + holomorphic on a dense open => holomorphic?

Hartogs' theorem for real-analytic subvarieties

A geometric characterization of smooth points of a complex algebraic variety

Kähler manifold which is not algebraic

Artin vanishing for Stein manifolds and restriction maps

Poincaré lemma for distributions

Is there a divisor in $\mathbb P^2$ such that all analytic maps into its complement algebraize?

The properness of a submersion

Green's function - Hyperbolic Riemann surface

Hyperbolic Riemann Surface

Stein manifolds definiton

Haar measure on a quotient, References for

$\partial \bar{\partial}$ lemma for contractible domains

Harmonic functions on $(M,g)$ closed, induce an embedding in Euclidean space

Connectedness of boundary of a Stein domain

Is every nonnegatively curved plane conformal to the complex plane?

Essential uniqueness of the real-analytic structure on $\mathbb R$

Acyclicity of the sheaf of real analytic differential forms

Uniformization of a plane minus cantor set

how many nonparabolic ends guarantee a nonconstant harmonic function on Riemannian manifold?

Long-time decay of heat kernel on compact manifolds

Homology Sphere Embedding into $\mathbb R^4$

Is hyperbolicity a Zariski open condition?

Plurisubharmonic function and complete Kähler metric on certain Kähler manifold

Monodromy representations and branched covers

Dimension of intersection of real analytic sets