Affine Algebraic Geometry: Geometry Of Polynomial Rings

Released on by Masayoshi Miyanishi
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  • Affine Algebraic Geometry: Geometry Of Polynomial Rings Book Detail

  • Author : Masayoshi Miyanishi
  • Release Date : 2023-12-05
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 441
  • ISBN 13 : 981128010X
  • File Size : 42,42 MB
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Affine Algebraic Geometry: Geometry Of Polynomial Rings by Masayoshi Miyanishi PDF Summary

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. 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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Algebraic Geometry

Algebraic Geometry

File Size : 66,66 MB
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An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some element