All Questions
Tagged with algebraic-stacks deformation-theory
5 questions
9
votes
0
answers
286
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derived schemes and perfect obstruction theories
In a survey article of Toen's it is claimed that that there is forgetful $\infty$-functor between the $\infty$-category of derived schemes locally of finite presentation over a field $k$ and the $\...
8
votes
1
answer
729
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on a Deformation long exact sequence of moduli space of stable maps
I am reading the book "mirror symmetry" by Hori,Katz,Klemm,etc. And I want to understand the following Deformation long exact sequence
\begin{align}
0 & \to Aut(Σ, p_1, . . . , p_n, f)\to Aut(Σ, ...
4
votes
0
answers
248
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Artin's "Versal Deformations and Algebraic stacks": Question concerning proof of Theorem 3.3
I have been reading Artin's paper titled "Versal deformations and algebraic stacks" and am a bit confused about a statement he makes in the proof of Theorem 3.3, in the first few lines of pg....
3
votes
0
answers
281
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Vanishing of space of first order infinitesimal deformations for irreducible algebraic stack
This question has a few bits, and apologies if some questions are phrased poorly since I am not knowledgeable on the language of stacks or deformation theory.
Suppose $\mathscr{X}$ is an algebraic ...
1
vote
0
answers
119
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Deformation theory about filtered sheaves
I am reading the paper “ Components of the stack of torsion-free sheaves of rank 2 on ruled surfaces” by C.Walter.
In the proof of Lemma 4.1(a) ,in $Filtcoh(X)$ and an object $F_1 \subset F$ the ...