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15
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Representability of a morphism of stacks

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#algebraic-geometry #algebraic-stacks
153
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Defining the Isom sheaf between two morphisms from an algebraic space into a stack

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#algebraic-geometry #algebraic-stacks
80
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For $X\to Y\to S$, how is $X\times_Y X\to X\times_S X$ defined? (Proposition 5.2.5 in Olsson's Algebraic Spaces and Stacks)

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#algebraic-geometry #category-theory #algebraic-stacks
100
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Factoring property for a surjective morphisms of sheaves

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#category-theory #algebraic-stacks
144
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Lemma 5.2.8 in Olsson's Algebraic Spaces and Stacks

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#algebraic-geometry #category-theory #algebraic-stacks
255
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Cech nerve and descent data

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#sheaf-theory #algebraic-stacks #descent
68
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How are sheaves/stacks viewed as generalised spaces?

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#homotopy-theory #sheaf-theory #higher-category-theory #algebraic-stacks
121
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Properness of the coarse moduli map in Keel-Mori theorem.

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#algebraic-geometry #moduli-space #algebraic-stacks
225
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Stacks and Schemes

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#algebraic-geometry #algebraic-stacks
143
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Relation between quotient stacks and quotient sheaves

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#algebraic-geometry #quotient-spaces #algebraic-stacks
321
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Applications of the Chinese remainder Theorem to the study of the Hilbert scheme of points and $(\mathfrak{m},l)$-squeezed ideals.

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#linear-algebra #algebraic-geometry #chinese-remainder-theorem #moduli-space #algebraic-stacks
103
Views

Universal Family in the stack of principal bundles

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#algebraic-geometry #algebraic-stacks
352
Views

Principal and Vector bundles over stacks

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#algebraic-geometry #algebraic-stacks
92
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In what sense stack (from category theory) is the (fibred) category as wikipedia asserts?

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#category-theory #algebraic-stacks #topological-stacks
97
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Isomorphism Sheaves of an Algebraic Stack

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#algebraic-stacks

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