The study of geometric objects defined by polynomial equations, as well as their generalizations: algebraic curves, such as elliptic curves, and more generally algebraic varieties, schemes, etc. Problems under this tag typically involve techniques of abstract algebra or complex-analytic methods. ...

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+200

References to understand $K3$ surface as a double cover of $\mathbb{P}^2$ ramified along a sextic

My goal is to understand that $2:1$ cover of $\mathbb{P}^2(\mathbb{C})$ ramified along a sextic is a $K3$ surface. My main problem is in understanding the theory of ramified covering of ...
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Global functions functor for derived stacks

On page 24, 25 of the paper Loop Spaces and Connections the authors refer to a functor $\mathcal{O}: DSt_k \rightarrow DGA_k^{op}$ from derived stacks to dg algebras over $k$. It is defined as ...