Weierstrass meets Enriques,
dc.contributor.author | Rainer, Ebert, Andreas P. Braun,Arthur Hebecker & Roberto Valandro | |
dc.date.accessioned | 2018-03-25T05:51:00Z | |
dc.date.available | 2018-03-25T05:51:00Z | |
dc.date.issued | 2010 | |
dc.description.abstract | We study in detail the degeneration of K3 to T^4/Z_2. We obtain an explicit embedding of the lattice of collapsed cycles of T^4/Z_2 into the lattice of integral cycles of K3 in two different ways. Our first method exploits the duality to the heterotic string on T^3. This allows us to describe the degeneration in terms of Wilson lines. Our second method is based on the blow-up of T^4/Z_2. From this blow-up, we directly construct the full lattice of integral cycles of K3. Finally, we use our results to describe the action of the Enriques involution on elliptic K3 surfaces, finding that a Weierstrass model description is consistent with the Enriques involution only in the F-theory limit. | en_US |
dc.identifier.citation | Andreas P. Braun, Rainer Ebert, Arthur Hebecker & Roberto Valandro,. “Weierstrass meets Enriques,” Journal of High Energy Physics 2010 (February 2010), pp. 1-28 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.11810/4642 | |
dc.title | Weierstrass meets Enriques, | en_US |