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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

8 votes
2 answers
304 views

Smallest atlas for algebraic stack

Let $X$ be an algebraic stack of finite type over a field. Is there an intrinsic way to calculate the minimum of the dimensions of all atlases of $X$? By intrinsic here I mean using constructions such …
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1 vote
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Smallest atlas for algebraic stack

Professor Jarod Alper provided me an answer to this question in separate correspondence. When the stabilizer at a point of the stack is smooth, my conjecture above is true by the theory of miniversal …
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