- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:49
Rendiconti del Seminario Matematico della Università di Padova
Rend. Sem. Mat. Univ. Padova
RSMUP
0041-8994
2240-2926
General
10.4171/RSMUP
http://www.ems-ph.org/doi/10.4171/RSMUP
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2013)
127
2012
0
$\mathscr{A}$-Schemes and Zariski-Riemann Spaces
Satoshi
Takagi
Osaka City University, OSAKA, JAPAN
In this paper, we will investigate further properties of $\mathscr{A}$-schemes introduced in [Tak]. The category of $\mathscr{A}$-schemes possesses many properties of the category of coherent schemes, and in addition, it is co-complete and complete. There is the universal compactification, namely, the Zariski-Riemann space in the category of $\mathscr{A}$-schemes. We compare it with the classical Zariski-Riemann space, and characterize the latter by a left adjoint.
General
121
177
10.4171/RSMUP/127-8
http://www.ems-ph.org/doi/10.4171/RSMUP/127-8