jacobian varieties造句
例句与造句
- The Jacobian variety of the Fermat curve has been studied in depth.
- Examples of abelian varieties are elliptic curves, Jacobian varieties and K3 surfaces.
- He was seeking a generalization of the Jacobian variety, by passing from holomorphic line bundles to higher rank.
- In 1960 he shared the Cole Prize in algebra with Serge Lang for his work on generalized Jacobian varieties.
- For certain values of n, this is the Jacobian variety of the Riemann surface, an example of an abelian manifold.
- It's difficult to find jacobian varieties in a sentence. 用jacobian varieties造句挺难的
- It is also, in general, the dimension of the Albanese variety, which takes the place of the Jacobian variety.
- This isomorphism is true for topological line bundles, the obstruction to injectivity of the Chern class for algebraic vector bundles is the Jacobian variety.
- Varieties, such as the Jacobian variety, which are complete and have a group structure are known as abelian varieties, in honor of Niels Abel.
- 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.
- 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.
- 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.
- 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 ).
- 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.
- 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 ).
- 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.
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