Skip to main content
Log in

Singular hypersurfaces and multilinear algebra

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

An algorithm for computing the discriminants of multilinear forms is given. A technique for computing the degeneracy conditions and other invariants ofn-ary forms is developed. An integral transform with respect to forms of degree 3 and higher (analog of the Gauss transform for quadratic forms) is introduced.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. Gelfand, M. Kapranov, and A. Zelevinsky, “Hyperdeterminants,”Adv. Math. (1993).

  2. E. B. Vinberg and V. L. Popov, “Invariant theory,” In:Itogi Nauki i Tekhniki. Sovremennye Problemy Mattmatiki. Fundamentalnye Napravlenia, Vol. 55.

  3. V. Dolotin, “On discriminants of multilinear forms,” E-print alg-geom/9511010.

  4. V. Dolotin, “On invariant theory,” E-print alg-geom/9512011.

  5. V. Dolotin, “QFT's with action of order three and higher and degeneracy of tensors,” E-print hep-th/9706001.

Download references

Authors

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 45. Algebraic Geometry-8, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dolotin, V.V. Singular hypersurfaces and multilinear algebra. J Math Sci 95, 2006–2027 (1999). https://doi.org/10.1007/BF02169158

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02169158

Keywords

Navigation