P. Candelas, X. de la Ossa, A. Font, S. Katz and D.R. Morrison: Mirror Symmetry for Two Parameter Models -- I, Nucl. Phys. B416 (1994) 481, hepth/9308083.  Home/Search   Document Not in Database   Summary   Related Articles

....Batyrev s construction is indeed an appropriate one to use. It would not have made geometric sense to work directly with IP 4 k , since the hypersurfaces would have had unacceptable singularities. We note that this construction generalizes examples that have appeared previously in the literature[15 17]. We illustrate the procedure with two examples the first corresponding to weights that admit a transverse polynomial and the second to weights that do not. k = 1; 1; 1; 2; 2) Consider first an example taken from the list: the weighted projective space IP (1;1;1;2;2) 4 [7] This is not of Fermat ....

....3.3. A non transverse example Consider the example IP 4 [5] with polynomial p = x 3 1 x 2 x 3 x 5 2 x 5 3 x 5 4 x 5 5 : This polynomial is not transverse at (1; 0; 0; 0; 0) The transposed polynomial is p = y 3 1 y 1 y 5 2 y 1 y 5 3 y 5 4 y 5 5 in IP (5;2;2;3;3) 4 [15]. The matrix M has determinant 1875, while d = 5 and d = 15. Thus the group of geometric symmetries of the transposed polynomial has order 1875=15 = 125. To reduce this to the group of order 5 which is the group of quantum symmetries of the original manifold, we have to take an orbifold by a ....

P. Candelas, X. de la Ossa, A. Font, S. Katz and D.R. Morrison: Mirror Symmetry for Two Parameter Models -- I, Nucl. Phys. B416 (1994) 481, hepth/9308083.

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC