Hodge numbers of a double octic with non-isolated singularities

Sławomir Cynk

Annales Polonici Mathematici (2000)

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

Abstract

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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.

How to cite

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Cynk, 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

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  1. [1] W. Barth, C. Peters and A. Van de Ven, Compact Complex Surfaces, Springer, Berlin, 1984. Zbl0718.14023
  2. [2] C. H. Clemens, Double solids, Adv. Math. 47 (1983), 107-230. Zbl0509.14045
  3. [3] S. Cynk, Hodge numbers of nodal double octics, Comm. Algebra 27 (1999), 4097-4102. Zbl0958.14032
  4. [4] S. Cynk, Double octics with isolated singularities, Adv. Theor. Math. Phys. 3 (1999), 217-225. Zbl0964.14032
  5. [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. [6] A. Dimca, Betti numbers of hypersurfaces and defects of linear systems, Duke Math. J. 60 (1990), 285-298. Zbl0729.14017
  7. [7] R. Hartshorne, Algebraic Geometry, Springer, Heidelberg, 1977. 

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