most citedMapping F_1-land:An overview of geometries over the field with one element

29 citations · 41 across the 3 of their papers we have counts for

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math.AG2009★ 29 cited

Mapping F_1-land:An overview of geometries over the field with one element

Javier López Peña, Oliver Lorscheid

This paper gives an overview of the various approaches towards F_1-geometry. In a first part, we review all known theories in literature so far, which are: Deitmar's F_1-schemes, T…

math.AG2009★ 12 cited

Algebraic groups over the field with one element

Oliver Lorscheid

Remarks in a paper by Jacques Tits from 1956 led to a philosophy how a theory of split reductive groups over $\F_1$, the so-called field with one element, should look like. Namely,…