In this paper we construct a moduli space for marked rational elliptic surfaces of index two as a non-complete toric variety of dimension nine. We also construct compactifications of this moduli space, which are obtained as quotients of A(12) by an action of G(m)(3).(c) 2022 The Author(s). Published by Elsevier B.V. on behalf of Royal Dutch Mathematical Society (KWG).
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