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15
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Definition of the $\Bbb C^*$-weight of a line bundle

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#algebraic-geometry #vector-bundles #geometric-invariant-theory
619
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Two equivalent definitions of GIT semistable points

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#algebraic-geometry #algebraic-groups #invariant-theory #geometric-invariant-theory
181
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Proof of "A geometric quotient is categorical"

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#algebraic-geometry #invariant-theory #group-schemes #geometric-invariant-theory
99
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All Harder-Narasimhan factors of $E$ are semistable with slope $\leq B \in \mathbb{R}$ implies $E$ semistable

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#algebraic-geometry #complex-geometry #vector-bundles #coherent-sheaves #geometric-invariant-theory
110
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Quotients of $\mathbb{P}^1 \times \mathbb{P}^1$

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#algebraic-geometry #quotient-spaces #group-schemes #geometric-invariant-theory
39
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Is the product group of finitely many copies of the multiplicative group of positive real numbers a reductive group?

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#group-theory #real-numbers #moduli-space #reductive-groups #geometric-invariant-theory
326
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Invariants cyclic group actions

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#abstract-algebra #algebraic-geometry #finite-groups #group-actions #geometric-invariant-theory
235
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Quotient of closed $G$-invariant subset of $G$-variety

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#algebraic-geometry #invariant-theory #geometric-invariant-theory
167
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Relative GIT quotient.

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#algebraic-geometry #quotient-spaces #geometric-invariant-theory
41
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Action of an algebraic group is closed.

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#algebraic-geometry #geometric-invariant-theory
70
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Linear non-equivalence of regular ternary cubics in normal form

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#algebraic-geometry #algebraic-groups #invariant-theory #geometric-invariant-theory
125
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Proj of an algebra

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#abstract-algebra #algebraic-geometry #representation-theory #invariant-theory #geometric-invariant-theory
173
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Quotient and Cohomology

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#algebraic-geometry #algebraic-topology #homology-cohomology #invariant-theory #geometric-invariant-theory
1.4k
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Physicist trying to understand GIT quotient

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#algebraic-geometry #quotient-spaces #symplectic-geometry #geometric-invariant-theory
640
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Properties preserved by categorical quotient (after Mumford's GIT)

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#algebraic-geometry #category-theory #schemes #geometric-invariant-theory

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