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math.AG2022
Non-Additive Geometry and Frobenius Correspondences
Shai Haran
The usual language of algebraic geometry is not appropriate for Arithmetical geometry: addition is singular at the real prime. We developed two languages that overcome this problem…
math.AT2022
Homotopy and Arithmetic
Shai Haran
We define the concept of a bi-operad. We develop the homotopy theory of "Bital-Sets" and of infinite-bi-operads. We develop a geometry of generalized schemes based on the spectra o…