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Weierstrass meets Enriques,

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dc.creator Rainer, Ebert, Andreas P. Braun,Arthur Hebecker & Roberto Valandro
dc.date 2018-03-25T05:51:00Z
dc.date 2018-03-25T05:51:00Z
dc.date 2010
dc.date.accessioned 2021-05-03T13:09:28Z
dc.date.available 2021-05-03T13:09:28Z
dc.identifier Andreas P. Braun, Rainer Ebert, Arthur Hebecker & Roberto Valandro,. “Weierstrass meets Enriques,” Journal of High Energy Physics 2010 (February 2010), pp. 1-28
dc.identifier http://hdl.handle.net/20.500.11810/4642
dc.identifier.uri http://hdl.handle.net/20.500.11810/4642
dc.description 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.
dc.title Weierstrass meets Enriques,


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