In algebraic geometry, a morphism of schemes generalizes a morphism of algebraic varieties just as a scheme generalizes an algebraic variety.

26 мар. 2018 г. · Thus a property of some schemes can often be generalized to a property of some morphisms and this is the proper generality. For example, the ...

We say X is a scheme over S to mean that X comes equipped with a morphism of schemes X \to S. The morphism X \to S is sometimes called the structure morphism.

an open source textbook and reference work on algebraic geometry.

21 янв. 2012 г. · A morphism of schemes is just a morphism of locally ringed spaces, which again consists of two parts: a continuous map of topological spaces and ... Scheme over S and morphisms - Mathematics Stack Exchange How to understand fibres of morphisms of schemes. What is the datum of an $S$-morphism of schemes? Другие результаты с сайта math.stackexchange.com

24 авг. 2024 г. · A scheme X X is called separated if the terminal morphism X → Spec ℤ X \to \operatorname{Spec} \mathbb{Z} is separated.

By Deligne, a morphism of schemes is finite if and only if it is proper and quasi-finite. This had been shown by Grothendieck if the morphism f: X → Y is ...

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Опубликовано: 7 июл. 2020 г.

A morphism of schemes is a structure-preserving map between two schemes that respects their underlying topological spaces and their structure sheaves.

Lecture notes on morphisms of locally ringed spaces and schemes, Direct and inverse image, fibre products, the functor of points, and the behavior of ...