WebApr 11, 2024 · A morphism of schemes \({\tilde{X}} \overset{} ... The K-theory of regular schemes is homotopy invariant, and condition (i) was proven by Kerz-Strunk-Tamme [31, Prop. 6.4]. The following proposition is just a recollection from the literature which will be used in the proof of Theorem ... WebMar 28, 2024 · Download chapter PDF. This chapter is probably the most technical of all chapters of the book. The main aim of Chap. 5 is to present the important and very …
Regular embedding - Wikipedia
WebA monomorphism is said to be regular if it is an equalizer of some pair of parallel morphisms. A monomorphism μ {\displaystyle \mu } is said to be extremal [1] if in each representation μ = φ ∘ ε {\displaystyle \mu =\varphi \circ \varepsilon } , where ε {\displaystyle \varepsilon } is an epimorphism, the morphism ε {\displaystyle \varepsilon } is … WebNov 16, 2024 · More generally, a morphism is what goes between objects in any n-category. Examples. The most familiar example is the category Set, where the objects are sets and the morphisms are functions. Here if x x and y y are sets, a morphism f: x → y f: x \to y is a function from x x to y y. Related concepts. object. morphism, multimorphism. inverse ... good cpu for 600 dollar gaming pc
ag.algebraic geometry - Geometric fibers of schemes.
WebApr 18, 2016 · $\begingroup$ Would you be happy with arguments that avoided Riemann-Roch? I really don't see the connection, but my eyes are not very good. If you don't need to use Riemann-Roch, then you can try to use the fact that the image of a projective curve under a regular map is closed. This is sometimes known as properness of projective … WebNov 21, 2024 · Let f:X \rightarrow Y be a log regular morphism of locally Noetherian fine log schemes. (1) Étale locally around x \in X, f factors as a composition of a log smooth morphism and a morphism which is log regular and strict. (2) Étale locally around x \in X, f is the inverse limit of log smooth morphisms. WebJul 7, 2024 · A morphism in an (∞, 1) (\infty,1)-topos is effective epi precisely if its 0-truncation is an epimorphism (hence an effective epimorphism) in the underlying 1-topos. This is Proposition 7.2.1.14 in Higher Topos Theory. Related concepts. epimorphism, regular epimorphism, effective epimorphism. effective epimorphism in an (∞,1)-category ... health operations research