Toric Variety
Date Issued
2004
Date
2004
Author(s)
Hsiao, Chin-Yu
DOI
en-US
Abstract
Toric Variety was first introduced by Demazure, Mumford, Sataka and Miyaka-Oda. In this thesis we've shown how to construct Toric Variety with cone and fan. And we use cone and fan to prove the general property of Torus Embedding. Then we can prove that Toric Variety that we have constructed corresponds with the original definition of Torus Embedding. And cone and fan that we have used have some equivalent of Torus Embedding (Proposition 4.5).
The only contribution of this thesis is that we use a different method from Mumford and use the basic and simple fact to obtain some properties of Torus Embedding. It is worth mentioning that we can use cone and fan to compute the Riemann-Rock Theorem of Toric Variety and Serre-duality,
and furthermore we can even establish the general Intersection Theory.
Subjects
托立克族
胎曲面嵌入
torus embedding
convex bodies
toric variety
Type
thesis
File(s)![Thumbnail Image]()
Loading...
Name
ntu-93-R90221013-1.pdf
Size
23.53 KB
Format
Adobe PDF
Checksum
(MD5):4f23f8082b8204eac08f415b0ccbea7f