例句與造句

1. Projective surface are strongly related with affine surfaces ( that is ordinary algebraic surfaces ).
2. A smooth projective surface has a minimal model in that stronger sense if and only if its Kodaira dimension is nonnegative .)
3. More generally, a projective surface is a subset of a projective space, which is a projective variety of dimension two.
4. The Chisini conjecture in algebraic geometry is a uniqueness question for morphisms of generic smooth projective surfaces, branched on a cuspidal curve.
5. One pass from a projective surface to the corresponding affine surface by setting to one some coordinate or indeterminate of the defining polynomials ( usually the last one ).
6. It's difficult to find projective surface in a sentence. 用projective surface造句挺難的
7. A "'projective surface "'in a projective space of dimension three is the set of points whose homogeneous coordinates are zeros of a single homogeneous polynomial in three variables.
8. In the first Pathologies paper, Mumford finds an everywhere regular differential form on a smooth projective surface that is not closed, and shows that Hodge symmetry fails for classical Enriques surfaces in characteristic two.
9. proved that for complex projective surfaces the dimension of the Picard variety is equal to the Hodge number " h " 0, 1, and the same is true for all compact K鋒ler surfaces.
10. In three papers written between 1969 and 1976 ( the last two in collaboration with E . Bombieri ), Mumford extended the Enriques Kodaira classification of smooth projective surfaces from the case of the complex groundfield to the case of an algebraically closed groundfield of characteristic p.
11. In a more formal statement, specify that " V " is a non-singular projective surface, and let " H " be the divisor class on " V " of a hyperplane section of " V " in a given projective embedding.
12. More precisely, let X be a smooth morphism from X to another smooth projective surface Y such that the curve C has been contracted to one point P, and moreover this morphism is an isomorphism outside C ( i . e ., X \ setminus C is isomorphic with Y \ setminus P ).
13. In the cases of most importance to classical algebraic geometry, for a non-singular complete variety " V " over a Igusa constructed an example of a smooth projective surface " S " with Pic 0 ( " S " ) non-reduced, and hence not an abelian variety.
14. Conversely, one passes from an affine surface to its associated projective surface ( called " projective completion " ) by homogenizing the defining polynomial ( in case of surfaces in a space of dimension three ), or by homogenizing all polynomials of the defining ideal ( for surfaces in a space of higher dimension ).
15. It is a perspective projection if the point of projection is allowed to vary with longitude : the point of projection being on the equator on the opposite side of the earth from the point being mapped and with the projective surface being a cylinder secant to the sphere at 45癗 and 45癝 . Gall called the projection " stereographic " because the spacing of the meridian of the equatorial stereographic projection.
16. The Bloch Beilinson conjecture would imply a satisfying converse, "'Bloch's conjecture on zero-cycles "': for a smooth complex projective surface " X " with geometric genus zero, " K " should be finite-dimensional; more precisely, it should map isomorphically to the group of complex points of the Albanese variety of " X ".
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