The Poincar\'{e} series of some special quasihomogeneous surface singularities
Ebeling, Wolfgang
arXiv, 0004086 / Harvested from arXiv
Text on arXiv
In the author's paper ''Poincar\'{e} series and monodromy of a two-dimensional quasihomogeneous hypersurface singularity'' a relation is proved between the Poincar\'{e} series of the coordinate algebra of a two-dimensional quasihomogeneous isolated hypersurface singularity and the characteristic polynomial of its monodromy operator. We study this relation for Fuchsian singularities and show that it is connected with the mirror symmetry of K3 surfaces and with automorphisms of the Leech lattice. We also indicate relations between other singularities and Conway's group.
Publié le : 2000-04-13
Classification:  Mathematics - Algebraic Geometry,  Mathematical Physics,  Mathematics - Commutative Algebra,  14J17, 32S25, 32S40, 13D40 (Primary) 14J28, 11H56 (Secondary) 
@article{0004086,
     author = {Ebeling, Wolfgang},
     title = {The Poincar\'{e} series of some special quasihomogeneous surface
  singularities},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0004086}
}

Ebeling, Wolfgang. The Poincar\'{e} series of some special quasihomogeneous surface
  singularities. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004086/