Gorenstein Quotient Singularities in Dimension Three
Seiten
1993
American Mathematical Society (Verlag)
978-0-8218-2567-9 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-2567-9 (ISBN)
- Titel z.Zt. nicht lieferbar
- Versandkostenfrei
- Auch auf Rechnung
- Artikel merken
If $G$ is a finite subgroup of $G/!L(3,{/mathbb C})$, then $G$ acts on ${/mathbb C}^3$, and it is known that ${/mathbb C}^3/G$ is Gorenstein if and only if $G$ is a subgroup of $S/!L(3,{/mathbb C})$. This book presents the classification of finite subgroups of $S/!L(3,{/mathbb C})$, including two types, (J) and (K).
If $G$ is a finite subgroup of $G/!L(3,{/mathbb C})$, then $G$ acts on ${/mathbb C}^3$, and it is known that ${/mathbb C}^3/G$ is Gorenstein if and only if $G$ is a subgroup of $S/!L(3,{/mathbb C})$. In this work, the authors begin with a classification of finite subgroups of $S/!L(3,{/mathbb C})$, including two types, (J) and (K), which have often been overlooked. They go on to present a general method for finding invariant polynomials and their relations to finite subgroups of $G/!L(3,{/mathbb C})$. The method is, in practice, substantially better than the classical method due to Noether. Some properties of quotient varieties are presented, along with a proof that ${/mathbb C}^3/G$ has isolated singularities if and only if $G$ is abelian and 1 is not an eigenvalue of $g$ for every nontrivial $g /in G$. The authors also find minimal quotient generators of the ring of invariant polynomials and relations among them.
If $G$ is a finite subgroup of $G/!L(3,{/mathbb C})$, then $G$ acts on ${/mathbb C}^3$, and it is known that ${/mathbb C}^3/G$ is Gorenstein if and only if $G$ is a subgroup of $S/!L(3,{/mathbb C})$. In this work, the authors begin with a classification of finite subgroups of $S/!L(3,{/mathbb C})$, including two types, (J) and (K), which have often been overlooked. They go on to present a general method for finding invariant polynomials and their relations to finite subgroups of $G/!L(3,{/mathbb C})$. The method is, in practice, substantially better than the classical method due to Noether. Some properties of quotient varieties are presented, along with a proof that ${/mathbb C}^3/G$ has isolated singularities if and only if $G$ is abelian and 1 is not an eigenvalue of $g$ for every nontrivial $g /in G$. The authors also find minimal quotient generators of the ring of invariant polynomials and relations among them.
Introduction Classification of finite subgroups of $SL(3,/mathbb C)$ The invariant polynomials and their relations of linear groups of $SL(3,/mathbb C)$ Gorenstein quotient singularities in dimension three.
| Erscheint lt. Verlag | 30.9.1993 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 187 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-8218-2567-4 / 0821825674 |
| ISBN-13 | 978-0-8218-2567-9 / 9780821825679 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Gekrümmte Kurven und Flächen
Buch | Softcover (2024)
De Gruyter (Verlag)
CHF 76,90
Anwendungen in Natur und Technik
Buch | Softcover (2021)
Springer Berlin (Verlag)
CHF 55,95
