Algebraic Varieties and Compact Complex Spaces
نویسنده
چکیده
It appears that if dimcZ = a. dim X > 2, one may consider X as an algebraic variety too but in some new sense. One can generalize the conception of the abstract variety of A. Weil by substituting the etale topology of Grothendieck for the topology of Zariski. One gets the objects which M. Artin called "etale schemes" and the author called "minischemes". Later, M. Artin introduced the term "algebraic space" and I use that term in this report. One of the definitions of the algebraic space over the scheme S is the following :
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