Affine Algebraic Geometry: Geometry Of Polynomial Rings
Book Details
Format
Hardback or Cased Book
Book Series
Series On University Mathematics
ISBN-10
9811280088
ISBN-13
9789811280085
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 17th, 2024
Print length
440 Pages
Weight
782 grams
Dimensions
16.00 x 23.60 x 3.10 cms
Product Classification:
Algebraic geometry
Ksh 24,300.00
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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:
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