2 citations · 2 across the 4 of their papers we have counts for
4 papers
On the algebraic K-theory of Spec Z^N
Stella Anevski
In his thesis, N. Durov develops a theory of algebraic geometry in which schemes are locally determined by commutative algebraic monads. In this setting, one is able to construct t…
Reconstruction of quasi-compact quasi-separated schemes from categories of perfect complexes
Stella Anevski
We show how to recover the underlying topological space of a quasi-compact quasi-separated scheme from the tensor triangulated structure on its category of perfect complexes.
Reconstructing the spectrum of F_1 from the stable homotopy category
Stella Anevski
The finite stable homotopy category S_0 has been suggested as a candidate for a category of perfect complexes over the monoid scheme Spec F_1. We apply a reconstruction theorem fro…
Riemann-Roch and Riemann-Hurwitz theorems for global fields
Stella Anevski
In this paper, we use counting theorems from the geometry of numbers to extend the Riemann-Roch theorem and the Riemann-Hurwitz formula to global fields of arbitrary characteristic…