# Hodge numbers of a double octic with non-isolated singularities

Annales Polonici Mathematici (2000)

- Volume: 73, Issue: 3, page 221-226
- ISSN: 0066-2216

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topCynk, Sławomir. "Hodge numbers of a double octic with non-isolated singularities." Annales Polonici Mathematici 73.3 (2000): 221-226. <http://eudml.org/doc/262579>.

@article{Cynk2000,

abstract = {If B is a surface in ℙ³ of degree 8 which is the union of two smooth surfaces intersecting transversally then the double covering of ℙ³ branched along B has a non-singular model which is a Calabi-Yau manifold. The aim of this note is to compute the Hodge numbers of this manifold.},

author = {Cynk, Sławomir},

journal = {Annales Polonici Mathematici},

keywords = {Hodge numbers; double solids; Calabi-Yau manifolds; surface singularities; double covering; singularity; Calabi-Yau manifold},

language = {eng},

number = {3},

pages = {221-226},

title = {Hodge numbers of a double octic with non-isolated singularities},

url = {http://eudml.org/doc/262579},

volume = {73},

year = {2000},

}

TY - JOUR

AU - Cynk, Sławomir

TI - Hodge numbers of a double octic with non-isolated singularities

JO - Annales Polonici Mathematici

PY - 2000

VL - 73

IS - 3

SP - 221

EP - 226

AB - If B is a surface in ℙ³ of degree 8 which is the union of two smooth surfaces intersecting transversally then the double covering of ℙ³ branched along B has a non-singular model which is a Calabi-Yau manifold. The aim of this note is to compute the Hodge numbers of this manifold.

LA - eng

KW - Hodge numbers; double solids; Calabi-Yau manifolds; surface singularities; double covering; singularity; Calabi-Yau manifold

UR - http://eudml.org/doc/262579

ER -

## References

top- [1] W. Barth, C. Peters and A. Van de Ven, Compact Complex Surfaces, Springer, Berlin, 1984. Zbl0718.14023
- [2] C. H. Clemens, Double solids, Adv. Math. 47 (1983), 107-230. Zbl0509.14045
- [3] S. Cynk, Hodge numbers of nodal double octics, Comm. Algebra 27 (1999), 4097-4102. Zbl0958.14032
- [4] S. Cynk, Double octics with isolated singularities, Adv. Theor. Math. Phys. 3 (1999), 217-225. Zbl0964.14032
- [5] S. Cynk and T. Szemberg, Double covers and Calabi-Yau varieties, in: Banach Center Publ. 44, Inst. Math., Polish Acad. Sci., 1998, 93-101. Zbl0915.14025
- [6] A. Dimca, Betti numbers of hypersurfaces and defects of linear systems, Duke Math. J. 60 (1990), 285-298. Zbl0729.14017
- [7] R. Hartshorne, Algebraic Geometry, Springer, Heidelberg, 1977.

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