例句與造句

1. The Jacobian variety of the Fermat curve has been studied in depth.
2. Examples of abelian varieties are elliptic curves, Jacobian varieties and K3 surfaces.
3. He was seeking a generalization of the Jacobian variety, by passing from holomorphic line bundles to higher rank.
4. In 1960 he shared the Cole Prize in algebra with Serge Lang for his work on generalized Jacobian varieties.
5. For certain values of n, this is the Jacobian variety of the Riemann surface, an example of an abelian manifold.
6. It's difficult to find jacobian variety in a sentence. 用jacobian variety造句挺難的
7. It is also, in general, the dimension of the Albanese variety, which takes the place of the Jacobian variety.
8. This isomorphism is true for topological line bundles, the obstruction to injectivity of the Chern class for algebraic vector bundles is the Jacobian variety.
9. Varieties, such as the Jacobian variety, which are complete and have a group structure are known as abelian varieties, in honor of Niels Abel.
10. Since it also includes the theory of the Jacobian variety of an algebraic curve, the study of this functor is a major issue in algebraic geometry.
11. He is also well known for his work on sigma-functions on universal spaces of Jacobian varieties of algebraic curves that give effective solutions of important integrable systems.
12. The Jacobian variety is named after Carl Gustav Jacobi, who proved the complete version Abel-Jacobi theorem, making the injectivity statement of Niels Abel into an isomorphism.
13. The first major insights of the theory were given by Niels Abel; it was later formulated in terms of the Jacobian variety J \ left ( S \ right ).
14. 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.
15. The Abel Jacobi theorem implies that the Albanese variety of a compact complex curve ( dual of holomorphic 1-forms modulo periods ) is isomorphic to its Jacobian variety ( divisors of degree 0 modulo equivalence ).
16. As a group, the Jacobian variety of a curve is isomorphic to the quotient of the group of divisors of degree zero by the subgroup of principal divisors, i . e ., divisors of rational functions.
更多例句：  下一頁