例句與造句

1. As a result, the degree is well-defined on linear equivalence classes of divisors.
2. It can be shown that the divisor of a global meromorphic function always has degree 0, so the degree of the divisor depends only on the linear equivalence class.
3. Any two meromorphic 1-forms will yield linearly equivalent divisors, so the canonical divisor is uniquely determined up to linear equivalence ( hence " the " canonical divisor ).
4. Recall that the local equations of a Cartier divisor D in a variety X give rise to transition maps for a line bundle \ mathcal L ( D ), and linear equivalences induce isomorphism of line bundles.
5. In algebraic geometry, this classification of ( isomorphism classes of ) complex line bundles by the first Chern class is a crude approximation to the classification of ( isomorphism classes of ) holomorphic line bundles by linear equivalence classes of divisors.
6. It's difficult to find linear equivalence in a sentence. 用linear equivalence造句挺難的
7. In those terms, divisors " D " ( Cartier divisors, to be precise ) correspond to line bundles, and "'linear equivalence "'of two divisors means that the corresponding line bundles are isomorphic.
8. From the divisor linear equivalence / line bundle isomorphism principle, a Cartier divisor is linearly equivalent to an effective divisor if, and only if, its associated line bundle \ mathcal L ( D ) has non-zero global sections.
9. The Abel-Jacobi theorem states that the torus thus built is a variety, the classical Jacobian of a curve, that indeed parametrizes the degree 0 line bundles, that is, it can be identified with its Picard variety of degree 0 divisors modulo linear equivalence.
10. Geometrically NS ( " V " ) describes the algebraic equivalence classes of divisors on " V "; that is, using a stronger, non-linear equivalence relation in place of linear equivalence of divisors, the classification becomes amenable to discrete invariants.
11. Geometrically NS ( " V " ) describes the algebraic equivalence classes of divisors on " V "; that is, using a stronger, non-linear equivalence relation in place of linear equivalence of divisors, the classification becomes amenable to discrete invariants.
12. One goal of the theory is to'count constants', for those curves : to predict the dimension of the space of special divisors ( up to linear equivalence ) of a given degree " d ", as a function of " g ", that " must " be present on a curve of that genus.
13. It follows that " L " is nef, but no positive multiple of the first Chern class " c " 1 ( " L " ) is numerically equivalent to an effective divisor . ( The first Chern class is an isomorphism from the Picard group of line bundles on a variety " X " to the group of Cartier divisors modulo linear equivalence .)