The moduli space of rational elliptic surfaces of index two

Rick Miranda; Aline Zanardini

The moduli space of rational elliptic surfaces of index two

Algebraic Geometry 2021-11-16 v1

Authors: Rick Miranda , Aline Zanardini

Abstract

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 $\mathbb{A}^{12}$ by an action of $\mathbb{G}_m^3$ .

Keywords

rational elliptic surfaces moduli space index two toric variety compactifications

Cite

@article{arxiv.2111.07294,
  title  = {The moduli space of rational elliptic surfaces of index two},
  author = {Rick Miranda and Aline Zanardini},
  journal= {arXiv preprint arXiv:2111.07294},
  year   = {2021}
}

Comments

17 pages, 2 figures

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