algebraic geometry

higher geometry / derived geometry Ingredients Concepts geometric little (∞,1)-toposes geometric big (∞,1)-toposes Constructions Examples derived smooth geometry Theorems symmetric monoidal (∞,1)-category of spectra Algebraic geometry is, in origin, a geometric study of solutions of systems of polynomial equations and generalizations. The set of zeros of a set of polynomial equations in finitely many variables over a field is called an affine variety and it is equipped with a particular...