152 Pages
by
A K Peters/CRC Press
152 Pages
by
A K Peters/CRC Press
142 Pages
by
A K Peters/CRC Press
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This carefully prepared manuscript presents elimination theory in weighted projective spaces over arbitrary noetherian commutative base rings. Elimination theory is a classical topic in commutative algebra and algebraic geometry, and it has become of renewed importance recently in the context of applied and computational algebra. This monograph provides a valuable complement to sparse elimination... Read more
I: Preliminaries 1. Kronecker Extensions 2. Modules and Kronecker Extensions 3. Numerical Monoids 4. Relations of Numerical Monoids 5. Splitting of Numerical Monoids II: Regular Sequences 6. Regular Sequences and Complete Intersections 7. Graded Complete Intersections 8. Generic Regular Sequences 9. The Generic Structure of the Principal Component III: Elimination 10. Basics of Elimination 11. The Main Case for Generic Regular Sequences 12. The Main Case for Regular Sequences IV: Resultants 13. Resultant Ideals 14. Resultant Divisors and Duality 15. Resultants 16. Formulas on Resultants
Biography
Scheja, Gunter; Storch, Uwe
