例句與造句

1. Since the trivial line bundle over has first Stiefel Whitney class 0, it is not isomorphic to.
2. If the dimension is lower than 3, one first takes a Whitney sum with a trivial line bundle.
3. Similarly to the case of spin structures, one takes a Whitney sum with a trivial line bundle if the manifold is odd-dimensional.
4. If is the trivial line bundle \ underline { \ mathbf { C } }, then this sheaf coincides with the structure sheaf \ mathcal O _ X of the complex manifold.
5. The case of a trivial line bundle was considered in earlier work by Phillip Griffiths in connection to variations of Hodge structures and by Fujita, Kawamata and Eckart Viehweg in algebraic geometry.
6. It's difficult to find trivial line bundle in a sentence. 用trivial line bundle造句挺難的
7. In general, essentially the same argument applies using a more general version of the Clifford inequality for local complete intersections with a dualising line bundle and 1-dimensional sections in the trivial line bundle.
8. More abstractly, rather than stabilizing the embedding, one can take any embedding, and then take a vector bundle direct sum with a sufficient number of trivial line bundles; this corresponds exactly to the normal bundle of the stabilized embedding.
9. But this flat connection is not isomorphic to the obvious flat connection on the trivial line bundle over " A " 1 ( as an algebraic vector bundle with flat connection ), because its solutions do not have moderate growth at  ".
10. For instance, the tangent bundle of spheres is stably trivial but not trivial ( the usual inclusion of the sphere "'S " "'n " ?" "'R " "'n " + 1 has trivial normal bundle, thus the tangent bundle of the sphere plus a trivial line bundle is the tangent bundle of Euclidean space, restricted to "'S " "'n ", which is trivial ), thus other characteristic classes all vanish for the sphere, but the Euler class does not vanish for even spheres, providing a non-trivial invariant.