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math.AG2025
Projective Space in Synthetic Algebraic Geometry
Felix Cherubini, Thierry Coquand, Matthias Ritter +1
Synthetic algebraic geometry is a new approach to algebraic geometry. It consists in using homotopy type theory extended with three axioms, together with the interpretation of thes…
math.AG2025
Differential Geometry of Synthetic Schemes
Felix Cherubini, Matthias Hutzler, Hugo Moeneclaey +1
Synthetic algebraic geometry uses homotopy type theory extended with three axioms to develop algebraic geometry internal to a higher version of the Zariski topos. In this article w…