Sur Une Formule de Castelnuovo Pour Les Espaces Multisécants

Patrick Le Barz

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 2, page 381-387
  • ISSN: 0392-4041

Abstract

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Let v k be the number of ( k - 2 ) -dimensional subspaces of P 2 ⁢ k - 2 which are k -secant to a curve C (of degree n and genus g ). Castelnuovo (1889) gave a formula for v k (see [2]); one has a modern proof in the monograph [1]. Here we give explicitly the generating function of the series ∑ k ≥ 0 v k ⁢ t k ∈ Z ⁢ [ [ t ] ] , without using Castelnuovo's results.

How to cite

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Le Barz, Patrick. "Sur Une Formule de Castelnuovo Pour Les Espaces Multisécants." Bollettino dell'Unione Matematica Italiana 10-B.2 (2007): 381-387. <http://eudml.org/doc/290358>.

@article{LeBarz2007,
author = {Le Barz, Patrick},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {fre},
month = {6},
number = {2},
pages = {381-387},
publisher = {Unione Matematica Italiana},
title = {Sur Une Formule de Castelnuovo Pour Les Espaces Multisécants},
url = {http://eudml.org/doc/290358},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Le Barz, Patrick
TI - Sur Une Formule de Castelnuovo Pour Les Espaces Multisécants
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/6//
PB - Unione Matematica Italiana
VL - 10-B
IS - 2
SP - 381
EP - 387
LA - fre
UR - http://eudml.org/doc/290358
ER -

References

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  8. LEHN, M., Chern classes of tautological sheaves on Hilbert schemes of points on surfaces, Inv. Math., 136 (1999), 157-207. Zbl0919.14001MR1681097DOI10.1007/s002220050307
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  10. TIKHOMIROV, A. - TROSHINA, T., Top Segre class of a standard vector bundle on the Hilbert scheme H ⁢ i ⁢ l ⁢ b 4 ⁢ S of a surface S, Algebraic geometry and its applications Yaroslavl', Aspects of Maths. vol. E25, Vieweg-Verlag (1994), 205-226. Zbl0819.14004MR1282030
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