Calculating discriminants by higher direct images
Jerzy Weyman
Source record
Source: Crossref
Published: Jan 1, 1994
DOI: 10.1090/s0002-9947-1994-1184118-6
Open original source ↗Source abstract
The author uses the homological algebra to construct for any line bundle L \mathcal {L} on a nonsingular projective variety X the complex F ( L ) \mathbb {F}(\mathcal {L}) whose determinant is equal to the equation of the dual variety X V {X^{\text {V}}} . This generalizes the Cayley-Koszul complexes defined by Gelfand, Kapranov and Zelevinski. The formulas for the codimension and degree of X V {X^{\text {V}}} in terms of complexes F ( L ) \mathbb {F}(\mathcal {L}) are given. In the second part of the article the general technique is applied to classical discriminants and hyperdeterminants.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.