ISBN : 9789811280085
Author : Masayoshi Miyanishi
Publisher : World Science
Year : 2023
Language : English
Type : Book
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.