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arXiv · 2208.01506

Notes on derived algebraic geometry

Can Yaylali
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Abstract

These are notes on derived algebraic geometry in the context of animated rings. More precisely, we recall the proof of To\"en-Vaqui\'e that the derived stack of perfect complexes is locally geometric in the language of $\infty$-categories. Along the way, we recall the necessary notions in derived commutative algebra and derived algebraic geometry. We also analyze the deformation theory and quasi-coherent modules over derived stacks.

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Can Yaylali. 2022-08-02. Notes on derived algebraic geometry. https://arxiv.org/abs/2208.01506

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