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Original Articles

Short Tops and Semistable Degenerations

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REFERENCES

  • [Bouchard and Skarke 03] V. Bouchard and H. Skarke. “Affine Kac–Moody Algebras, CHL Strings and the Classification of Tops.” Adv. Theor. Math. Phys. 7 (2003), 205–232.
  • [Candelas and Font 98] P. Candelas and A. Font. “Duality between the Webs of Heterotic and Type II Vacua.” Nuclear Phys. B 511 (1998), 295–325.
  • [Candelas et al. 12] P. Candelas, A. Constantin, and H. Skarke. “An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts.” arXiv:1207.4792v1 [hep-th], 2012.
  • [Cicoli et al. 12] Michele Cicoli, Maximilian Kreuzer, and Christoph Mayrhofer. “Toric K3-Fibred Calabi–Yau Manifolds with del Pezzo Divisors for String Compactifications.” J. High Energy Phys. 2 (2012). Available online (http://link.springer.com/article/10.1007%2FJHEP02%282012%29002).
  • [Cox and Katz 99] D. Cox and S. Katz. Mirror Symmetry and Algebraic Geometry. American Mathematical Society, 1999.
  • [Friedman and Morrison 83] R. Friedman and D. R. Morrison. “The Birational Geometry of Degenerations: An Overview.” InThe Birational Geometry of Degenerations (Cambridge, Mass., 1981), Progr. Math. 29, pp. 1–32. Birkhäuser, 1983.
  • [Grassi and Perduca 12] A. Grassi and V. Perduca. “Weierstrass Models of Elliptic Toric K3 Hypersurfaces and Symplectic Cuts.” arXiv:1201.0930v3, 2012.
  • [Hu 06] S. Hu. “Semistable Degeneration of Toric Varieties and Their Hypersurfaces.” Comm. Anal. Geom. 14 (2006), 59–89.
  • [Kempf et al. 73] G. Kempf, F. F. Knudsen, D. Mumford, and B. Saint-Donat. Toroidal Embeddings I, Lecture Notes in Mathematics 339. Springer, 1973.
  • [Kulikov 77] V. S. Kulikov. “Degenerations of K3 Surfaces and Enriques Surfaces.” Izv. Akad. Nauk SSSR Ser. Mat. 41 (1977), 1008–1042.
  • [Landman 73] A. Landman. “On the Picard–Lefschetz Transformation for Algebraic Manifolds Acquiring General Singularities.” Trans. Amer. Math. Soc. 181 (1973), 89–126.
  • [Mehlhorn et al. 99] K. Mehlhorn, S. Näher, M. Seel, R. Seidel, T. Schilz, S. Schirra, and C. Uhrig. “Checking Geometric Programs or Verification of Geometric Structures.” Comput. Geom. 12 (1999), 85–103.
  • [Morrison 84] D. R. Morrison. “The Clemens–Schmid Exact Sequence and Applications.” InTopics in Transcendental Algebraic Geometry (Princeton, N.J., 1981/1982), Ann. of Math. Stud. 106, pp. 101–119. Princeton Univ. Press, 1984.
  • [Øbro 07] M. Øbro. “An Algorithm for the Classification of Smooth Fano Polytopes.” arXiv:0704.0049 [math.CO], 2007.
  • [Persson 77] U. Persson. On Degenerations of Algebraic Surfaces, Mem. Amer. Math. Soc. 11. American Mathematical Society, 1977.
  • [Rohsiepe 04] F. Rohsiepe. “Lattice Polarized Toric K3 Surfaces.” arXiv:hep-th/0409290 v1, 2004.

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