Abstract
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.
Citation
Naohiro Kanesaka. "On the defining equations of hypersurface purely elliptic singularities." Tohoku Math. J. (2) 57 (1) 1 - 10, 2005. https://doi.org/10.2748/tmj/1113234830
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