Characteristic numbers of rational curves with cusp or prescribed triple contact

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Characteristic numbers of rational curves with cusp or prescribed triple contact. / Kock, Joachim.

In: Mathematica Scandinavica, Vol. 92, No. 2, 2003, p. 223-245.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Kock, J 2003, 'Characteristic numbers of rational curves with cusp or prescribed triple contact', Mathematica Scandinavica, vol. 92, no. 2, pp. 223-245. https://doi.org/10.7146/math.scand.a-14402

APA

Kock, J. (2003). Characteristic numbers of rational curves with cusp or prescribed triple contact. Mathematica Scandinavica, 92(2), 223-245. https://doi.org/10.7146/math.scand.a-14402

Vancouver

Kock J. Characteristic numbers of rational curves with cusp or prescribed triple contact. Mathematica Scandinavica. 2003;92(2):223-245. https://doi.org/10.7146/math.scand.a-14402

Author

Kock, Joachim. / Characteristic numbers of rational curves with cusp or prescribed triple contact. In: Mathematica Scandinavica. 2003 ; Vol. 92, No. 2. pp. 223-245.

Bibtex

@article{0530ec7749604126ad0427951ce61100,
title = "Characteristic numbers of rational curves with cusp or prescribed triple contact",
abstract = "This note pursues the techniques of [Graber-Kock-Pandharipande] to give concise solutions to the characteristic number problem of rational curves in P-2 or P-1 x P-1 with a cusp or a prescribed triple contact. The classes of such loci are computed in terms of modified psi classes, diagonal classes, and certain codimension-2 boundary classes. Via topological recursions the generating functions for the numbers can then be expressed in terms of the usual characteristic number potentials.",
keywords = "ENUMERATIVE GEOMETRY, PLANE-CURVES, FORMULAS",
author = "Joachim Kock",
year = "2003",
doi = "10.7146/math.scand.a-14402",
language = "English",
volume = "92",
pages = "223--245",
journal = "Mathematica Scandinavica",
issn = "0025-5521",
publisher = "Aarhus Universitet * Mathematica Scandinavica",
number = "2",

}

RIS

TY - JOUR

T1 - Characteristic numbers of rational curves with cusp or prescribed triple contact

AU - Kock, Joachim

PY - 2003

Y1 - 2003

N2 - This note pursues the techniques of [Graber-Kock-Pandharipande] to give concise solutions to the characteristic number problem of rational curves in P-2 or P-1 x P-1 with a cusp or a prescribed triple contact. The classes of such loci are computed in terms of modified psi classes, diagonal classes, and certain codimension-2 boundary classes. Via topological recursions the generating functions for the numbers can then be expressed in terms of the usual characteristic number potentials.

AB - This note pursues the techniques of [Graber-Kock-Pandharipande] to give concise solutions to the characteristic number problem of rational curves in P-2 or P-1 x P-1 with a cusp or a prescribed triple contact. The classes of such loci are computed in terms of modified psi classes, diagonal classes, and certain codimension-2 boundary classes. Via topological recursions the generating functions for the numbers can then be expressed in terms of the usual characteristic number potentials.

KW - ENUMERATIVE GEOMETRY

KW - PLANE-CURVES

KW - FORMULAS

U2 - 10.7146/math.scand.a-14402

DO - 10.7146/math.scand.a-14402

M3 - Journal article

VL - 92

SP - 223

EP - 245

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

IS - 2

ER -

ID: 331504679