6 citations · 9 across the 2 of their papers we have counts for
6 papers
Compactifying Spec Z
Satoshi Takagi
In this paper, we introduce a new algebraic type of `convexoid rings', and we give the definition of (weak) convexoid schemes, which share similar properties with ordinary schemes.…
Universality of the category of schemes
Satoshi Takagi
In this paper, we generalize the construction method of schemes to other algebraic categories, and show that the category of coherent schemes can be characterized by a universal pr…
Nagata embedding and A-schemes
Satoshi Takagi
We define the notion of normal A-schemes, and approximable A-schemes. Approximable A-schemes inherit many good properties of ordinary schemes. As a consequence, we see that the Zar…
A-schemes and Zariski-Riemann spaces
Satoshi Takagi
In this paper, we will investigate further properties of A-schemes. The category of A-schemes possesses many properties of the category of coherent schemes, and in addition, it is…
Construction of schemes over , and over idempotent semirings: towards tropical geometry
Satoshi Takagi
In this paper, we give some categorical description of the general spectrum functor, defining it as an adjoint of a global section functor. The general spectrum functor includes th…
Phase Structure of Hot and/or Dense QCD in the Schwinger-Dyson Approach
Satoshi Takagi
We investigate the phase structure of hot and/or dense QCD with massless 2-flavors using the Schwinger-Dyson equation (SDE) with the improved ladder approximation in the Landau gau…