Sentence examples for smooth varieties from inspiring English sources

For long time, it was not clear which was the topological difference between projective smooth varieties and compact Kähler manifolds.

Then the inverse of f is defined on V, the complement of a complex analytic set, and by the Riemann extension theorem (normality of smooth varieties) the inverse extends to N, showing that f is biholomorphic.

Fig. 2 Willingness to pay with smooth variety averseness.

The proof of this result relies on a characterization of the Schwartz space of a semi-algebraic smooth variety that we give.

As well as Q-rank 1 locally symmetric spaces, examples include Ricci-flat metrics on the complement of a divisor in a smooth variety constructed by Tian and Yau.

This means that the finite surjective morphism (varphi : mathfrak M_g (H) rightarrow mathfrak M_{g, H} ) is generically bijective; ( mathfrak M_g (H) ) is a normal variety, being locally the quotient of a smooth variety by a finite group: hence (varphi ) is the normalization morphism and ( mathfrak M_g (H) ) is the normalization of (mathfrak M_{g, H} ).

These comebacks are not always of the smooth variety.

Fig. 3 Willingness to pay with non-smooth variety averseness.

In our model, we found that a producer seeking the opportunity to ameliorate its product can face reprisal due to the non-smooth variety aversion of the consumer.

Hence the well known fact that the set of fundamental groups of smooth projective varieties is just the set of fundamental groups of smooth algebraic surfaces.

Let X and Y be birational smooth proper varieties of dimension n.