Zum Hauptinhalt springen Zur Suche springen Zur Hauptnavigation springen
Dekorationsartikel gehören nicht zum Leistungsumfang.
AFFINE ALGEBRAIC GEOMETRY
GEOMETRY OF POLYNOMIAL RINGS
Buch von Masayoshi Miyanishi
Sprache: Englisch

155,95 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 1-2 Wochen

Produkt Anzahl: Gib den gewünschten Wert ein oder benutze die Schaltflächen um die Anzahl zu erhöhen oder zu reduzieren.
Kategorien:
Beschreibung
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:It begins with an introduction to algebraic geometry which comprises almost all results in commutative algebra and algebraic geometry.
Arguments frequently used in affine algebraic geometry are elucidated by treating affine lines embedded in the affine plane and automorphism theorem of the affine plane. There is also a detailed explanation on affine algebraic surfaces which resemble the affine plane in the ring-theoretic nature and for actions of algebraic groups.
The Jacobian conjecture for these surfaces is also considered by making use of the results and tools already presented in this book. The conjecture has been thought as one of the most unattackable problems even in dimension two.
Advanced results are collected in appendices of chapters so that readers can understand the main streams of arguments.
There are abundant problems in the first three chapters which come with hints and ideas for proof.
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:It begins with an introduction to algebraic geometry which comprises almost all results in commutative algebra and algebraic geometry.
Arguments frequently used in affine algebraic geometry are elucidated by treating affine lines embedded in the affine plane and automorphism theorem of the affine plane. There is also a detailed explanation on affine algebraic surfaces which resemble the affine plane in the ring-theoretic nature and for actions of algebraic groups.
The Jacobian conjecture for these surfaces is also considered by making use of the results and tools already presented in this book. The conjecture has been thought as one of the most unattackable problems even in dimension two.
Advanced results are collected in appendices of chapters so that readers can understand the main streams of arguments.
There are abundant problems in the first three chapters which come with hints and ideas for proof.
Details
Erscheinungsjahr: 2023
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9789811280085
ISBN-10: 9811280088
Sprache: Englisch
Einband: Gebunden
Autor: Masayoshi Miyanishi
Hersteller: World Scientific
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 28 mm
Von/Mit: Masayoshi Miyanishi
Erscheinungsdatum: 05.12.2023
Gewicht: 0,787 kg
Artikel-ID: 127166810
Details
Erscheinungsjahr: 2023
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9789811280085
ISBN-10: 9811280088
Sprache: Englisch
Einband: Gebunden
Autor: Masayoshi Miyanishi
Hersteller: World Scientific
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 28 mm
Von/Mit: Masayoshi Miyanishi
Erscheinungsdatum: 05.12.2023
Gewicht: 0,787 kg
Artikel-ID: 127166810
Sicherheitshinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
-9 %
Taschenbuch
-17 %