Inter-universal geometry と ABC予想 (応援スレ) 44

Inter-universal geometry と ABC予想 (応援スレ) 44at MATH

Inter-universal geometry と ABC予想 (応援スレ) 44 - 暇つぶし2ch735:tacks (which form a 2-category). Of course, algebraic spaces and (Deligne-Mumford) algebraic stacks are closelyrelated, in the sense that both arise by considering gluing operations in the etale topology of schemes. On the other hand, the substantive difference between 1-and 2-categories gives rise to many substantive mathematical differences in various geometric arguments. In particular, this substantive difference between 1- and 2-categories is sufficiently significant as to render extremely strange and unnatural any attempt to use the same terminology for both algebraic spaces and algebraic stacks.

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