例句與造句

1. In the coarse moduli problem Mumford considers the obstructions to be:
2. In many cases, the moduli problems to which Shimura varieties are solutions have been likewise identified.
3. He focuses primarily on moduli problems in algebraic geometry and their applications to mathematical physics, geometry and topology.
4. The most frequent use of the term " modular equation " is in relation to the moduli problems for elliptic curves.
5. The use of these " categories fibred in groupoids " to describe a moduli problem goes back to Grothendieck ( 1960 / 61 ).
6. It's difficult to find moduli problem in a sentence. 用moduli problem造句挺難的
7. Group schemes that are not algebraic groups play a significant role in arithmetic geometry and algebraic topology, since they come up in contexts of Galois representations and moduli problems.
8. This is more like the classical idea that the moduli problem is to express the algebraic structure naturally coming with a set ( say of isomorphism classes of elliptic curves ).
9. The more algebraic and abstract approach to moduli problems is to set them up as a representable functor question, then apply a criterion that singles out the representable functors for schemes.
10. Characterisations of them, in interesting cases, were sought in the 1960s, for application in particular in the moduli problems of algebraic geometry; showing in fact that these are very subtle matters.
11. Algebraic stacks and their use to analyse moduli problems appeared in Deligne-Mumford ( 1969 ) as a tool to prove the irreducibility of the ( coarse ) moduli space of curves of a given genus.
12. However, it is often possible to consider a modified moduli problem of classifying the original objects together with additional data, chosen in such a way that the identity is the only automorphism respecting also the additional data.
13. With a suitable choice of the rigidifying data, the modified moduli problem will have a ( fine ) moduli space " T ", often described as a subscheme of a suitable Hilbert scheme or Quot scheme.
14. Further, the'cusps'of the moduli problem, which are the points of the modular curve not corresponding to honest elliptic curves but degenerate cases, may be difficult to read off from knowledge of " P ".
15. The urgency ( to put it that way ) of the problem for the geometers accounts for the title of the 1959 FGA ) connecting the descent question with the representable functor question in algebraic geometry in general, and the moduli problem in particular.
16. :" The problem is, within the set of all models of the resulting birational class, there is one model whose geometric points classify the set of orbits in some action, or the set of algebraic objects in some moduli problem ".
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