A numerical toolkit for multiprojective varieties Institutional Repository Document uri icon

abstract

  • A numerical description of an algebraic subvariety of projective space is given by a general linear section, called a witness set. For a subvariety of a product of projective spaces (a multiprojective variety), the corresponding numerical description is given by a witness collection, whose structure is more involved. We build on recent work to develop a toolkit for the numerical manipulation of multiprojective varieties that operates on witness collections, and use this toolkit in an algorithm for numerical irreducible decomposition of multiprojective varieties. The toolkit and decomposition algorithm are illustrated throughout in a series of examples.

author list (cited authors)

  • Hauenstein, J. D., Leykin, A., Rodriguez, J. I., & Sottile, F.

citation count

  • 0

complete list of authors

  • Hauenstein, Jonathan D||Leykin, Anton||Rodriguez, Jose Israel||Sottile, Frank

Book Title

  • arXiv

publication date

  • August 2019