Segre class computation and practical applications

Research output: Contribution to journalJournal articleResearchpeer-review

  • Corey Harris
  • Martin Helmer
Let X subset of Y be closed (possibly singular) subschemes of a smooth projective toric variety T. We show how to compute the Segre class s(X, Y) as a class in the Chow group of T. Building on this, we give effective methods to compute intersection products in projective varieties, to determine algebraic multiplicity without working in local rings, and to test pairwise containment of subvarieties of T. Our methods may be implemented without using Grobner bases; in particular any algorithm to compute the number of solutions of a zero-dimensional polynomial system may be used
Original languageEnglish
JournalMathematics of Computation
Volume89
Issue number321
Pages (from-to)465-491
ISSN0025-5718
DOIs
Publication statusPublished - Jan 2020

ID: 233586974