## Definition A *simplicial scheme* is a simplicial object in the category of [[scheme|schemes]]. ## References * [[David A. Cox]], Homotopy theory and simplicial schemes, [pdf-slides](http://www.math.northwestern.edu/efconf/cox.pdf) * David A. Cox, Homotopy theory of simplicial schemes. Compositio Mathematica, 39 no. 3 (1979), p. 263-296 Full text djvu | pdf | Reviews MR 550644 | Zbl 0385.14004 stable [URL](http://www.numdam.org/item?id=CM_1979__39_3_263_0) * Bojan Mohar, simplicial schemes, Journal of Combinatorial Theory, Series B Volume 42, Issue 1, February 1987, Pages 68–86, doi: 10.1016/0095-8956(87)90064-5, [ScienceDirect](http://www.sciencedirect.com/science/article/pii/0095895687900645) * [[V. Voevodsky]], _Motives over simplicial schemes_, Journal of K-Theory, Volume 5, Issue 01 , pp 1 - 38, (preliminary version in K-theory preprint archive: [here](http://www.math.uiuc.edu/K-theory/0638/)) * Carlo Mazza, [[V. Voevodsky|Vladimir Voevodsky]], Charles Weibel, Lecture Notes on Motivic Cohomology,