Affine Algebraic Geometry: Geometry Of Polynomial Rings Hardback
by Masayoshi (Univ Of Osaka, Japan) Miyanishi
Part of the Series On University Mathematics series
Hardback
Description
Algebraic geometry is more advanced with the completeness condition for projective or complete varieties.
Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties.
For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial rings are fundamental building blocks of algebraic geometry.
Progress was rapid since the Abhyankar-Moh-Suzuki Theorem of embedded affine line was proved, and logarithmic geometry was introduced by Iitaka and Kawamata.Readers will find the book covers vast basic material on an extremely rigorous level:
Information
-
Out of stock
- Format:Hardback
- Pages:440 pages
- Publisher:World Scientific Publishing Co Pte Ltd
- Publication Date:17/01/2024
- Category:
- ISBN:9789811280085
Information
-
Out of stock
- Format:Hardback
- Pages:440 pages
- Publisher:World Scientific Publishing Co Pte Ltd
- Publication Date:17/01/2024
- Category:
- ISBN:9789811280085
