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Affine Algebraic Geometry: Geometry Of Polynomial Rings - Masayoshi Miyanishi

Affine Algebraic Geometry: Geometry Of Polynomial Rings

Buch | Hardcover
440 Seiten
2024
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-8008-5 (ISBN)
CHF 235,65 inkl. MwSt
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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:
Erscheinungsdatum
Reihe/Serie Series On University Mathematics ; 11
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 981-12-8008-8 / 9811280088
ISBN-13 978-981-12-8008-5 / 9789811280085
Zustand Neuware
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