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Proving that GIT quotient of linear group is smooth

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#differential-geometry #algebraic-geometry #geometric-invariant-theory
611
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What is Representation of Surface Groups?

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#algebraic-geometry #hyperbolic-geometry #moduli-space #teichmueller-theory #geometric-invariant-theory
136
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What if the semi-invariant ring is a polynomial ring or hypersurface

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#algebraic-geometry #representation-theory #invariant-theory #quiver #geometric-invariant-theory
146
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About Jordan normal form and stability in GIT

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#linear-algebra #algebraic-geometry #jordan-normal-form #geometric-invariant-theory
222
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Global sections of $\operatorname{Proj} S$ when $S$ is an integrally closed domain

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#algebraic-geometry #commutative-algebra #projective-schemes #geometric-invariant-theory
304
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Linearization of the action of PGL(n) on the projective space of dimension n-1

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#algebraic-geometry #geometric-invariant-theory
187
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Geometric quotient definition in Mumford's book contains an error?

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#algebraic-geometry #schemes #quotient-spaces #geometric-invariant-theory
75
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Actions by affine algebraic groups?

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#group-actions #algebraic-groups #geometric-invariant-theory
69
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Non-empty stable locus in an irreducible component

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#algebraic-geometry #representation-theory #quiver #geometric-invariant-theory
57
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inverse image of the symmetrization map

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#algebraic-geometry #representation-theory #invariant-theory #geometric-invariant-theory
94
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Does the dualizing sheaf on the nodal rational curve not admit a $\mathbb G_m$-linearization?

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#algebraic-geometry #solution-verification #group-actions #geometric-invariant-theory
36
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Bondal-Orlov conjecture on Calabi-Yau varieties

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#birational-geometry #derived-categories #geometric-invariant-theory #mirror-symmetry
65
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Why are the linear factors of $g.p$ are given by $(a_i, b_i)g^{-1}$?

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#algebraic-geometry #polynomials #symplectic-geometry #geometric-invariant-theory #geometric-invariant
79
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Proof for "any $p \in \operatorname{Sym^3(\mathbb C^2)}$ can be written as a product of linear factors?"

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#algebraic-geometry #polynomials #symplectic-geometry #geometric-invariant-theory #geometric-invariant
43
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Computing the stabilizer of any polynomial of degree $n$ with distinct roots.

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#abstract-algebra #algebraic-geometry #geometric-invariant-theory #orbit-stabilizer #stabilizer

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