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There is a page named "Simplicial scheme" on Wikipedia
- (-,U)} . Thus, a simplicial scheme, a simplicial object in the site, represents a simplicial presheaf (in fact, often a simplicial sheaf). Example: Let...6 KB (821 words) - 08:05, 7 March 2024
- n ) n ≥ 0 {\displaystyle (U_{n})_{n\geq 0}} instead of the above simplicial scheme determined by a usual étale cover. Taking finer and finer hypercoverings...2 KB (247 words) - 06:01, 21 December 2021
- Étale fundamental group (category Scheme theory)for schemes", Astérisque: 99–201, arXiv:1309.1198, Bibcode:2013arXiv1309.1198B, MR 3379634 Friedlander, Eric M. (1982), Étale homotopy of simplicial schemes...11 KB (1,679 words) - 16:57, 1 August 2024
- study of the pro-simplicial set associated to the étale topos of a scheme is called étale homotopy theory. In good cases (if the scheme is Noetherian and...32 KB (4,267 words) - 09:31, 11 July 2024
- the category of simplicial objects on S h v ( S m S ) N i s {\displaystyle Shv(Sm_{S})_{Nis}} . Such an object is also called a simplicial sheaf on S m S...17 KB (2,659 words) - 14:55, 23 June 2024
- Derived algebraic geometry (category Scheme theory)differential graded algebras (over Q {\displaystyle \mathbb {Q} } ), simplicial commutative rings or E ∞ {\displaystyle E_{\infty }} -ring spectra from...14 KB (1,810 words) - 16:44, 31 July 2024
- simplicial rings, or commutative ring spectra. From the functor of points point-of-view, a derived scheme is a sheaf X on the category of simplicial commutative...13 KB (2,276 words) - 16:56, 31 July 2024
- Simplex (redirect from Simplicial)together" simplices to form a simplicial complex. The associated combinatorial structure is called an abstract simplicial complex, in which context the...51 KB (7,842 words) - 23:22, 13 August 2024
- and in particular homotopy theory, a hypercovering (or hypercover) is a simplicial object that generalises the Čech nerve of a cover. For the Čech nerve...4 KB (575 words) - 07:45, 11 February 2024
- pro-simplicial set is an inverse system of simplicial sets. A pro-simplicial set is called pro-finite if each term of the inverse system of simplicial sets...1 KB (134 words) - 16:09, 12 April 2020
- Groupoid object (redirect from Groupoid scheme)Deligne–Mumford stack. Conversely, any DM stack is of this form. Simplicial scheme Algebraic stacks, Ch 3. § 1. Gillet 1984. Behrend, Kai; Conrad, Brian;...5 KB (850 words) - 05:18, 4 July 2024
- Mesh generation (section Elliptic schemes)into discrete geometric and topological cells. Often these cells form a simplicial complex. Usually the cells partition the geometric input domain. Mesh...42 KB (5,329 words) - 16:34, 14 June 2024
- algebra, a simplicial commutative ring is a commutative monoid in the category of simplicial abelian groups, or, equivalently, a simplicial object in the...3 KB (519 words) - 17:58, 31 July 2024
- ∞-groupoid (redirect from Simplicial groupoid)model uses Kan complexes which are fibrant objects in the category of simplicial sets (with the standard model structure). It is an ∞-category generalization...11 KB (1,640 words) - 23:38, 8 March 2024
- topological simplices as prescribed by the simplicial set structure of X. Orbifold fundamental group Fundamental group scheme Poincaré, Henri (1895). "Analysis...53 KB (8,076 words) - 07:10, 6 August 2024
- of Algebraic Varieties, memoir of the AMS, 1994 Etale Homotopy of Simplicial Schemes, Annals of mathematical studies, Princeton University Press 1982 Editor...5 KB (518 words) - 05:16, 8 January 2024
- Abstract homotopical model for topological spaces Simplicial set Kan complex – Map between simplicial sets with lifting propertyPages displaying short...2 KB (287 words) - 12:32, 15 April 2024
- Simplex noise (section Simplicial subdivision)An implementation typically involves four steps: coordinate skewing, simplicial subdivision, gradient selection, and kernel summation. An input coordinate...8 KB (1,077 words) - 09:48, 26 June 2024
- Glossary of algebraic topology (redirect from Singular simplicial complex)definition of a spectrum. A simplicial set is not thought of as a space; i.e., we generally distinguish between simplicial sets and their geometric realizations...52 KB (7,629 words) - 12:07, 26 July 2024
- Field with one element (section Monoid schemes)abstract simplicial complexes. One of the assumptions is a non-triviality condition: If the building is an n‑dimensional abstract simplicial complex,...32 KB (3,811 words) - 03:51, 8 August 2024
- very simple adaptation of the iterative solver to a parametrized problem Simplicial linear continuation algorithm. Pseudo-arclength continuation, based on