On the defining equations of hypersurface purely elliptic singularities
Kanesaka, Naohiro
Tohoku Math. J. (2), Tome 57 (2005) no. 1, p. 1-10 / Harvested from Project Euclid
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We investigate a class of isolated hypersurface singularities, the so-called purely elliptic singularities, of complex algebraic varieties of dimension greater than or equal to two. We show that, for hypersurface purely elliptic singularities defined by nondegenerate polynomials, Calabi-Yau varieties arising among the irreducible components of the essential divisors are concretely associated with the defining equations of these singularities, and that the birational class of the Calabi-Yau varieties does not depend on the irreducible components.
Publié le : 2005-03-14
Classification:  32S25,  14B05,  14M25 
@article{1113234830,
     author = {Kanesaka, Naohiro},
     title = {On the defining equations of hypersurface purely elliptic singularities},
     journal = {Tohoku Math. J. (2)},
     volume = {57},
     number = {1},
     year = {2005},
     pages = { 1-10},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113234830}
}

Kanesaka, Naohiro. On the defining equations of hypersurface purely elliptic singularities. Tohoku Math. J. (2), Tome 57 (2005) no. 1, pp.  1-10. http://gdmltest.u-ga.fr/item/1113234830/