82
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Arrangements of Real Lines and Surfaces with A and D Singularities

REFERENCES

  • [Adrianov and Zvonkin 98] N. Adrianov and A. Zvonkin. “Composition of Plane Trees.” Acta Appl. Math. 52 (1998), 239–245.
  • [Barth and Rams 05] W. P. Barth and S. Rams. “Equations of Low-Degree Projective Surfaces with Three-Divisible Sets of Cusps.” Math.Z. 249 (2005), 283–295.
  • [Barth and Rams 07] W. P. Barth and S. Rams. “Cusps and Codes.” Math. Nachr. 280 (2007), 50–59.
  • [Barth and Sarti 03] W. P. Barth and A. Sarti. “Polyhedral Groups and Pencils of K3-Surfaces with Maximal Picard Number.” Asian J. Math. 7 (2003), 519–538.
  • [Barthel et al. 87] G. Barthel, F. Hirzebruch, and T. Höfer., Geradenkonfigurationen und Algebraische Flächen, Aspects of Mathematics D4. Vieweg, 1987.
  • [Breske et al. 08] S. Breske, O. Labs, and D. van Straten. “Real Line Arrangements and Surfaces with Many Real Nodes.” In Geometric Modeling and Algebraic Geometry, pp. 47–54. Springer, 2008.
  • [Chmutov 92] S. V. Chmutov. “Examples of Projective Surfaces with Many Singularities.” J. Algebr. Geom. 1 (1992), 191–196.
  • [Endrass 01] S. Endrass. “SURF. A Computer Software for Visualasing Real Algebraic Geometry.” Available at http://surf.sourceforge.net., 2001.
  • [Escudero 08] J. G. Escudero. “Random Tilings of Spherical 3-Manifolds.” J. Geom. Phys. 58 (2008), 1451–1464.
  • [Escudero 11] J. G. Escudero. “A Construction of Algebraic Surfaces with Many Real Nodes.” arXiv.org/abs/1107.3401, 2011.
  • [Escudero 12] J. G. Escudero. “Substitutions with Vanishing Rotationally Invariant First Cohomology.” Discrete Dyn. Nat. Soc. (2012), Article ID 818549.
  • [Escudero 13a] J. G. Escudero. “On a Family of Complex Algebraic Surfaces of Degree 3n.” C. R. Math. Acad. Sci. Paris 351 (2013), 699–702.
  • [Escudero 13b] J. G. Escudero. “Planar Arrangements and Singular Algebraic Surfaces.” In Proc. of Applications of Computer Algebra, Universidad de Málaga, pp. 28–32, 2013.
  • [Escudero 14] J. G. Escudero. “Hypersurfaces with Many Aj Singularities: Explicit Constructions.” J. Comput. Appl. Math. 259 (2014), 87–94.
  • [Füredi and Palásti 84] Z. Füredi and I. Palásti. “Arrangements of Lines with a Large Number of Triangles.” Proc. Amer. Math. Soc. 92 (1984), 561–566.
  • [Greuel and Pfister 08] G. M. Greueland G. Pfister.,A Singular Introduction to Commutative Algebra. Springer, 2008.
  • [Grünbaum 72] B. Grünbaum.,Arrangements and Spreads. American Mathematical Society, 1972.
  • [Hironaka 93] E. Hironaka.. Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines, Memoirs of the American Mathematical Society, 502. American Mathematical Society, 1993.
  • [Hirzebruch 82] F. Hirzebruch. “Some Examples of Algebraic Surfaces.” In Proc 21st Summer Research Institute Australian Math. Soc. Contemporary Mathematics 9, pp. 55–71. Amer. Math. Soc., 1982.
  • [Hirzebruch 87a] F. Hirzebruch. “Arrangements of Lines and Algebraic Surfaces.” In , Vol. II, pp. 113–140. Birkäuser, 1987.
  • [Hirzebruch 87b] F. Hirzebruch.,“Some Examples of Threefolds with Trivial Canonical Bundle." In Gesammelte Abhandlungen, Bd. II, pp. 757–770. Springer, 1987.
  • [Hori et al. 03] K. Hori, S. Katz, A. Klemm, R. Pandharipande, R. Thomas, C. Vafa, R. Vakil, and E. Zaslow.,Mirror Symmetry, Clay Mathematics Monographs. Amer. Math. Soc., 2003.
  • [Labs 06] O. Labs. “Dessins d’Enfants and Hypersurfaces with Many Aj Singularities.” J. Lond. Math. Soc. II. Ser. 74 (2006), 607–622.
  • [Nischke and Danzer 96] K. P. Nischke and L. Danzer. “A Construction of Inflation Rules Based on n-Fold Symmetry.” 15 (1996), 221–236.
  • [Simmons 73] G. J. Simmons. “A Maximal Arrangement of Sixteen Lines in the Projective Plane.” Period. Math. Hung. 4, (1973), 21–23.
  • [Werner and van Geemen 90] J. Werner and B van Geemen. “New Examples of Three-Folds with c1 = 0.” Math. Z. 203 (1990), 211–225.
  • [Wolfram 91] S. Wolfram.,Mathematica.Addison-Wesley Publishing Co., 1991.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.