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To ensure that the first-order term of the up- per bound is optimal, we also show an n-node four-connected plane graph G, for infinite number of n, whose visibility

We work over the complex number field C.. Let X be a projective minimal Gorenstein 3-fold of general type.. The above sum runs over all those exceptional divisors of p that lie over

This section is devoted to illustrate the connection between compact Riemann surface and complex algebraic curve.. Then an elliptic curve E := C/Λ is an

¤ The corollary says that a birational morphism of surfaces is basi- cally composition of blowing-ups and isomorphism.. Together with the theorem on elimination of indeterminacy,

One can also similarly define the Krull dimension or simply dimension to be the supremum of length of chain of prime ideals of a ring. And we can topologize P n by the quotient

For more discussion on cone of curves, we refer [Koll´ar, Mori]: Birational geometry of algebraic varieties.. Thus sometime it’s useful to pick a better element in |D| instead

Jing Yu, NTU, Taiwan Values at Algebraic Points.. Thiery 1995) Suppose the Drinfeld module ρ is of rank 1. Drinfeld modules corresponding to algebraic points can be defined over ¯

The t-submodule theorem says that all linear relations satisfied by a logarithmic vector of an algebraic point on t-module should come from algebraic relations inside the t-module