Resultants of determinantal varieties
Copyright policy )Resultants of determinantal varieties
In this paper based on part of the author's doctoral dissertation, the author aims to extend the so called mixed resultant of \textit{I. M. Gelfand, M. M. Kapranov} and \textit{A. V. Zelevinsky} [Discriminants, resultants and multidimensional determinants. Birkhäuser, Berlin (1994; Zbl 0827.14036)] of complete intersection varieties to the context of determinantal varieties.~In section 2, he defines the \(r\)th-determinantal resultant.~Being given two vector bundles E and F of respective ranks \(m \geq n \) on an irreducible projective variety \(X\)~ and an integer \( 0 \leq r
Algebra and Number Theory, Effectivity, complexity and computational aspects of algebraic geometry, syzygies and resolutions, [INFO.INFO-SC] Computer Science [cs]/Symbolic Computation [cs.SC], [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], mixed resultant, determinantal resultant, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, effectivity, Macaulay resultant
Algebra and Number Theory, Effectivity, complexity and computational aspects of algebraic geometry, syzygies and resolutions, [INFO.INFO-SC] Computer Science [cs]/Symbolic Computation [cs.SC], [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], mixed resultant, determinantal resultant, Determinantal varieties, Syzygies, resolutions, complexes and commutative rings, effectivity, Macaulay resultant
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