Spectral involutions on rational elliptic surfaces

Advances in Theoretical and Mathematical Physics

Volumn 5, Issue 3, 2001, Pages 499-561

  Donagi, Ron ^a   Ovrut, Burt A ^a   Pantev, Tony ^a   Waldram, Daniel ^b,c  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b CERN   (Switzerland)

^c ROCKEFELLER UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79551501943     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2001.v5.n3.a4     Document Type: Article

References (14)

1. M. Bershadsky, A. Johansen, T. Pantev, and V. Sadov. On four-dimensional compactifications of F-theory. Nuclear Phys. B, 505(1-2):165-201, 1997.
2. T. Bridgeland and A. Maciocia. Fourier-Mukai transforms for K3 and elliptic fibrations.
3. R. Donagi. Principal bundles on elliptic fibrations. Asian J. Math., 1(2):214-223, 1997.
4. R. Donagi, B. Ovrut, T. Pantev, and D. Waldram. Standard-Model bundles.
5. R. Donagi, B. Ovrut, T. Pantev, and D. Waldram. Standard-Model bundles on non-simply connected Calabi-Yau threefolds.
6. M. Demazure, H.C. Pinkham, and B. Teissier, editors. Seminaire sur les Sin-gularites des Surfaces, number 777 in Lecture Notes in Mathematics. Springer, 1980. Held at the Centre de Mathematiques de l'Ecole Polytechnique, Palaiseau, 1976-1977.
7. R. Friedman, J. Morgan, and E. Witten. Vector bundles and F theory. Comm. Math. Phys., 187(3):679-743, 1997.
8. R. Hartshorne. Residues and duality. Springer-Verlag, Berlin, 1966. Lecture notes of a seminar on the work of A. Grothendieck, given at Harvard 1963/64. With an appendix by P. Deligne. Lecture Notes in Mathematics, No. 20.
9. R. Hartshorne. Algebraic geometry, volume 52 of Grad. Texts Math. Springer-Verlag, 1977.
10. K. Kodaira. On compact analytic surfaces. III. Ann. of Math., 78:1-40, 1963.
11. Yu. Manin. The Tate height of points on an Abelian variety, its variants and applications. Izv. Akad. Nauk SSSR Ser. Mat., 28:1363-1390, 1964.
12. D. Orlov. Equivalences of derived categories and K3 surfaces. J. Math. Sci. (New York), 84(5):1361-1381, 1997. Algebraic geometry, 7.
13. C. Schoen. On fiber products of rational elliptic surfaces with section. Math. Z., 197(2):177-199, 1988.
14. T. Shioda. On the Mordell-Weil lattices. Comment. Math. Univ. St. Paul., 39(2):211-240, 1990.