Segre class computation and practical applications
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Segre class computation and practical applications. / Harris, Corey; Helmer, Martin.
I: Mathematics of Computation, Bind 89, Nr. 321, 01.2020, s. 465-491.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Segre class computation and practical applications
AU - Harris, Corey
AU - Helmer, Martin
PY - 2020/1
Y1 - 2020/1
N2 - 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
AB - 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
U2 - 10.1090/mcom/3448
DO - 10.1090/mcom/3448
M3 - Journal article
VL - 89
SP - 465
EP - 491
JO - Mathematics of Computation
JF - Mathematics of Computation
SN - 0025-5718
IS - 321
ER -
ID: 233586974