منابع مشابه
Special Linear Systems on Toric Varieties
We consider linear systems on toric varieties of any dimension, with invariant base points, giving a characterization of special linear systems. We then make a new conjecture for linear systems on rational surfaces. Introduction Let us take the projective plane P and let us consider the linear system of curves of degree d having some points of fixed multiplicity. The expected dimension of such ...
متن کاملCombinatorial Method in Adjoint Linear Systems on Toric Varieties
For nonsingular varieties, the one-dimensional case is an easy fact in curve theory. The two-dimensional case follows from the work of Reider [16]. In higherdimensional cases, (I) is known for n = 3 [3] and n = 4 [8], and by [1] we know that KX + 1 2 (n2 +n+ 2)D is generated by global sections for all n. Less is known about (II) with one exception: if D is already very ample, then (I) and (II) ...
متن کاملMinicourse on Toric Varieties
1. Varieties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Characters and 1-Parameter Subgroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 3. Toric Varieties . . . . . . . . . . . . . . . . . . . . . . . . . ....
متن کاملLectures on Toric Varieties
1 Four constructions 1 1.1 First construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Second construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Third construction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.4 Fourth construction . . . . . . . . . . . . . . . . . . . . . . . . . . ...
متن کاملComments on toric varieties
Here are few notes on not necessarily normal toric varieties and resolution by toric blow-up. These notes are independent of, but in the same spirit as the earlier preprint [Tho03]. That is, they focus on the fact that toric varieties are locally given by monoid algebras. 1 Not necessarily normal toric varieties Fix a base field k. We start by recalling the definition of a fan. Let N ∼= Z be a ...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1996
ISSN: 0040-8735
DOI: 10.2748/tmj/1178225343