Geodesic
Projectivity in Algebraic Cobordism
Canadian journal of mathematics, Tome 67 (2015) no. 3, pp. 639-653

Voir la notice de l'article provenant de la source Cambridge University Press

The algebraic cobordism group of a scheme is generated by cycles that are proper morphismsfrom smooth quasiprojective varieties. We prove that over a field of characteristic zero the quasiprojectivity assumption can be omitted to get the same theory.
DOI : 10.4153/CJM-2014-026-8
Mots-clés : 14C17, 14F43, 55N22, algebraic cobordism, quasiprojectivity, cobordism cycles 
Gonzalez, Jose Luis; Karu, Kalle. Projectivity in Algebraic Cobordism. Canadian journal of mathematics, Tome 67 (2015) no. 3, pp. 639-653. doi: 10.4153/CJM-2014-026-8
@article{10_4153_CJM_2014_026_8,
     author = {Gonzalez, Jose Luis and Karu, Kalle},
     title = {Projectivity in {Algebraic} {Cobordism}},
     journal = {Canadian journal of mathematics},
     pages = {639--653},
     year = {2015},
     volume = {67},
     number = {3},
     doi = {10.4153/CJM-2014-026-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-026-8/}
}
TY  - JOUR
AU  - Gonzalez, Jose Luis
AU  - Karu, Kalle
TI  - Projectivity in Algebraic Cobordism
JO  - Canadian journal of mathematics
PY  - 2015
SP  - 639
EP  - 653
VL  - 67
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-026-8/
DO  - 10.4153/CJM-2014-026-8
ID  - 10_4153_CJM_2014_026_8
ER  - 
%0 Journal Article
%A Gonzalez, Jose Luis
%A Karu, Kalle
%T Projectivity in Algebraic Cobordism
%J Canadian journal of mathematics
%D 2015
%P 639-653
%V 67
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-026-8/
%R 10.4153/CJM-2014-026-8
%F 10_4153_CJM_2014_026_8

[1] [1] Abramovich, D., Karu, K., Matsuki, K., and Wlodarczyk, J., Torification and factorization of birational maps. J. Amer. Math. Soc. 15(2002), no. 3, 531–572 (electronic). Google Scholar | DOI

[2] [2] González, J. and Karu, K., Descent for algebraic cobordism. arxiv:1301.3292 Google Scholar

[3] [3] Hironaka, H., Resolution of singularities of an algebraic variety over a field of characteristic zero. I, II. Ann. of Math. (2) 9(1964), 109–203; ibid (2) 79(1964), 205–326. Google Scholar

[4] [4] Levine, M. and Morel, F., Algebraic cobordism. Springer Monographs in Mathematics, Springer, Berlin, 2007. Google Scholar

[5] [5] Levine, M. and Pandharipande, R., Algebraic cobordism revisited. Invent. Math. 176(2009), no. 1, 63–130. Google Scholar | DOI

[6] [6] Wlodarczyk, J., Toroidal varieties and the weak factorization theorem. Invent. Math. 154(2003), no. 2, 223–331. Google Scholar | DOI

Cité par Sources :