Projective Modules and Complete Intersections - Satya Mandal

Projective Modules and Complete Intersections

(Autor)

Buch | Softcover
VIII, 124 Seiten
1997 | 1997
Springer Berlin (Verlag)
978-3-540-63564-2 (ISBN)
37,40 inkl. MwSt
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully self-contained presentations of the theorems of Ferrand-Szpiro, Cowsik-Nori and the techniques of Lindel.

Preliminaires.- Patching modules and other preliminaries.- Extended modules over polynomial rings.- Modules over commutative rings.- The theory of matrices.- Complete intersections.- The techniques of lindel.

Erscheint lt. Verlag 10.10.1997
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo VIII, 124 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 198 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte Algebra • communative algebra • complete intersection • Module • Modul (math.) • projective module
ISBN-10 3-540-63564-5 / 3540635645
ISBN-13 978-3-540-63564-2 / 9783540635642
Zustand Neuware
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