Classification of Linear Weighted Graphs up to Blowing-Up and Blowing-Down
Canadian journal of mathematics, Tome 60 (2008) no. 1, pp. 64-87

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

We classify linear weighted graphs up to the blowing-up and blowing-down operations which are relevant for the study of algebraic surfaces.
DOI : 10.4153/CJM-2008-003-2
Mots-clés : Primary, 14J26, secondary, 14E07, 14R05, 05C99, weighted graph, dual graph, blowing-up, algebraic surface
Daigle, Daniel. Classification of Linear Weighted Graphs up to Blowing-Up and Blowing-Down. Canadian journal of mathematics, Tome 60 (2008) no. 1, pp. 64-87. doi: 10.4153/CJM-2008-003-2
@article{10_4153_CJM_2008_003_2,
     author = {Daigle, Daniel},
     title = {Classification of {Linear} {Weighted} {Graphs} up to {Blowing-Up} and {Blowing-Down}},
     journal = {Canadian journal of mathematics},
     pages = {64--87},
     year = {2008},
     volume = {60},
     number = {1},
     doi = {10.4153/CJM-2008-003-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2008-003-2/}
}
TY  - JOUR
AU  - Daigle, Daniel
TI  - Classification of Linear Weighted Graphs up to Blowing-Up and Blowing-Down
JO  - Canadian journal of mathematics
PY  - 2008
SP  - 64
EP  - 87
VL  - 60
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2008-003-2/
DO  - 10.4153/CJM-2008-003-2
ID  - 10_4153_CJM_2008_003_2
ER  - 
%0 Journal Article
%A Daigle, Daniel
%T Classification of Linear Weighted Graphs up to Blowing-Up and Blowing-Down
%J Canadian journal of mathematics
%D 2008
%P 64-87
%V 60
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2008-003-2/
%R 10.4153/CJM-2008-003-2
%F 10_4153_CJM_2008_003_2

[1] Daigle, D., Classification of weighted graphs up to blowing-up and blowing-down. electronic publication (arXiv:math.AG/0305029), 2003. Google Scholar

[2] Daigle, D. and Russell, P., Affine rulings of normal rational surfaces. Osaka J. Math. 38(2001), no. 1, 37–100. Google Scholar

[3] Daigle, D. and Russell, P., On log Q-homology planes and weighted projective planes. Canad. J. Math. 56(2004), 1145–1189. Google Scholar

[4] Hirzebruch, F., Über vierdimensionale Riemannsche Fl¨achen mehrdeutiger Funktionen von zwei komplexen Ver¨anderlichen. Math. Ann. 126 (1953), 1–22. Google Scholar

[5] Morrow, J., Minimal normal compactifications of C2. Rice Univ. Studies 59(1973), 97–111. Google Scholar

[6] Neumann, W., A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves. Trans. Amer. Math. Soc. 268(1981), no. 2, 299–344. Google Scholar

[7] Neumann, W., On bilinear forms represented by trees. Bull. Austral. Math. Soc. 40(1989), no. 2, 303–321. Google Scholar

[8] Russell, K. P., Some formal aspects of the theorems of Mumford-Ramanujam. In: Algebra, Arithmetic and Geometry. Tata Inst. Fund. Res. Stud. Math. 16, Tata Inst. Fund. Res., Bombay, 2002, pp. 557–584. Google Scholar

[9] Shastri, A. R., Divisors with Finite Local Fundamental Group on a Surface. In: Algebraic Geometry. Proceedings of Symposia in Pure Mathematics 46, American Mathematical Society, Providence, RI, 1987, pp. 467–481. Google Scholar

Cité par Sources :