例句與造句

1. Any such complex torus has the Gaussian integers as endomorphism ring.
2. When a complex torus carries the structure of an algebraic variety, this structure is necessarily unique.
3. In complex dimension 2, the only complex nilmanifolds are a complex torus and a Kodaira surface.
4. By Chow's theorem, no complex torus other than the abelian varieties can'fit'into projective space.
5. A connected diagonalizable group is called an algebraic torus ( which is not necessarily compact, in contrast to a complex torus ).
6. It's difficult to find complex torus in a sentence. 用complex torus造句挺難的
7. It is a principally polarized abelian variety, of dimension " g ", and hence, over the complex numbers, it is a complex torus.
8. Every elliptic curve over is a complex torus, and thus can be identified with a rank 2 lattice; i . e ., two-dimensional lattice of.
9. The complex torus associated to a genus g algebraic curve, obtained by quotienting { \ mathbf C } ^ g by the lattice of periods is referred to as the Jacobian variety.
10. The simplest examples where this happens are hyperelliptic surfaces, finite quotients of a complex torus of complex dimension 2, which have vanishing first integral Chern class but non-trivial canonical bundle.
11. A consequence is that the complex torus is algebraic if and only if there is a positive definite Hermitian form whose imaginary part is integral on " U " ?" U ".
12. For " n " > 1 Bernhard Riemann found necessary and sufficient conditions for a complex torus to be an algebraic variety; those that are varieties can be embedded into complex projective space, and are the abelian varieties.
13. In mathematics, a "'complex torus "'is a particular kind of complex manifold " M " whose underlying smooth manifold is a torus in the usual sense ( i . e . the cartesian product of some number " N " circles ).
14. The classical case, over the complex number field, has received most of the attention, and then an abelian variety " A " is simply a complex torus of a particular type, arising from a lattice in "'C " "'g ".
15. In the case " g " = 1, the notion of abelian variety is the same as that of elliptic curve, and every complex torus gives rise to such a curve; for " g " > 1 it has been known since Riemann that the algebraic variety condition imposes extra constraints on a complex torus.
16. In the case " g " = 1, the notion of abelian variety is the same as that of elliptic curve, and every complex torus gives rise to such a curve; for " g " > 1 it has been known since Riemann that the algebraic variety condition imposes extra constraints on a complex torus.
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