Calculating Discriminants by Higher Direct Images

DOI10.2307/2154537zbMath0823.14040OpenAlexW4244687494MaRDI QIDQ4300939

Jerzy Weyman

Publication date: 5 November 1995

Full work available at URL: https://doi.org/10.2307/2154537

zbMATH Keywords

projective varietyhyperdeterminantBuchsbaum-Eisenbud multipliersgeneralized discriminantsCayley-Koszul complexesequation of the dual variety

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Vector and tensor algebra, theory of invariants (15A72) Grassmannians, Schubert varieties, flag manifolds (14M15) Projective techniques in algebraic geometry (14N05)

Related Items

Multihomogeneous resultant formulae by means of complexes, Local cohomology on a subexceptional series of representations, Multihomogeneous resultant formulae for systems with scaled support, A formula with nonnegative terms for the degree of the dual variety of a homogeneous space, Koszul-Type Determinantal Formulas for Families of Mixed Multilinear Systems, Multilinear polynomial systems: root isolation and bit complexity, The resultant and the Koszul complex of a set of forms, Implicitization of rational surfaces using toric varieties, Matrix formulæ for resultants and discriminants of bivariate tensor-product polynomials, On a result of Gelfand, Kapranov and Zelevinsky, Polar sigma-ideals and sets of uniqueness in locally compact abelian groups, Singularities of hyperdeterminants, Koszul complexes and hyperdeterminants, EQUIVARIANT -MODULES ON ALTERNATING SENARY 3-TENSORS

Cites Work

• Unnamed Item
• Unnamed Item
• Duale Varietäten von Fahnenvarietäten. (Dual varieties of flag varieties)
• The equations of conjugacy classes of nilpotent matrices
• Toroidal embeddings. I
• The geometric and numerical properties of duality in projective algebraic geometry
• Some structure theorems for finite free resolutions
• On the Buchsbaum-Eisenbud theory of finite free resolutions.