User Ruadhaí Dervan

14 votes

Accepted

Algebraic Geometry - Definition of a Morphism

answered Mar 22, 2012 at 20:59

14 votes

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motivation for multiplier ideal sheaves

answered Sep 23, 2013 at 12:39

9 votes

Are there examples of Fano manifolds such that Tian's alpha invariant satisfies $\alpha_G(X)=\frac{n}{n+1}$ but without a Kähler-Einstein metric?

answered Jun 28, 2016 at 12:26

6 votes

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Is there an extremal metric on toric Fano manifolds which have nonzero Futaki invariant?

answered Sep 30, 2013 at 13:45

6 votes

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Existence of constant scalar curvature Kahler metrics on projective manifolds

answered Oct 22, 2013 at 16:58

6 votes

Fano manifold admit an smooth anti-canonical divisor?

answered Jan 29, 2015 at 14:18

5 votes

when constant scalar curvature implies Einstein?

answered Apr 17, 2013 at 14:50

5 votes

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Kähler-Einstein metrics on singular varieties

answered Aug 2, 2019 at 23:51

4 votes

Geometric interpretation for fourth coeficient of the polynomial for Hirzebruch–Riemann–Roch theorem

answered May 31, 2014 at 10:25

4 votes

Let $X$ be a projective variety and let $Pic(X) \cong \mathbb Z$, then $(X, −K_X) $ is $K$-semistable

answered Nov 5, 2015 at 12:08

3 votes

Hilbert point and Hilbert stability

answered May 14, 2015 at 16:48

3 votes

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Reference for notation $H^0(C, mK)$

answered Feb 11, 2013 at 11:20

3 votes

General topology terminology questions

answered Mar 28, 2012 at 0:22

2 votes

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Tensoring by Line Bundles to Produce Holomorphic Sections

answered May 14, 2015 at 17:09

2 votes

Chow stability and K-stability

answered Jan 14, 2015 at 16:05

2 votes

Computing the coefficients of the polynomial $\dim H^0(X,L^k)$ in non-smooth case

answered Feb 13, 2015 at 14:12

2 votes

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$\partial \overline{\partial}$-lemma for Irreducible, Normal Projective Varieties

answered Jul 2, 2019 at 11:24

1 vote

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Kähler metric of constant scalar curvature with positive bisectional curvature is Kähler-Einstein

answered Jul 2, 2019 at 10:50

1 vote

How can we define constant scalar curvature Kahler or cscK on pair $(X,D)$

answered Nov 5, 2015 at 12:23

1 vote

Flow of a Hamiltonian vector field

answered Apr 29, 2012 at 13:35

1 vote

Kaehler form on weighted projective space

answered Apr 17, 2014 at 13:00

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21 Answers

Algebraic Geometry - Definition of a Morphism

motivation for multiplier ideal sheaves

Are there examples of Fano manifolds such that Tian's alpha invariant satisfies $\alpha_G(X)=\frac{n}{n+1}$ but without a Kähler-Einstein metric?

Is there an extremal metric on toric Fano manifolds which have nonzero Futaki invariant?

Existence of constant scalar curvature Kahler metrics on projective manifolds

Fano manifold admit an smooth anti-canonical divisor?

when constant scalar curvature implies Einstein?

Kähler-Einstein metrics on singular varieties

Geometric interpretation for fourth coeficient of the polynomial for Hirzebruch–Riemann–Roch theorem

Let $X$ be a projective variety and let $Pic(X) \cong \mathbb Z$, then $(X, −K_X) $ is $K$-semistable

Hilbert point and Hilbert stability

Reference for notation $H^0(C, mK)$

General topology terminology questions

Tensoring by Line Bundles to Produce Holomorphic Sections

Chow stability and K-stability

Computing the coefficients of the polynomial $\dim H^0(X,L^k)$ in non-smooth case

$\partial \overline{\partial}$-lemma for Irreducible, Normal Projective Varieties

Kähler metric of constant scalar curvature with positive bisectional curvature is Kähler-Einstein

How can we define constant scalar curvature Kahler or cscK on pair $(X,D)$

Flow of a Hamiltonian vector field

Kaehler form on weighted projective space