Abstract
Constructing moduli spaces is a technically complicated task, involving the analysis of many subtleties. In this chapter, we will discuss, without going into details, one of the possible methods of carrying out such a construction. We will describe the general sequence of steps; numerous results justifying it are either stated without proofs or left as exercises.
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Notes
- 1.
The Plücker embedding sends a point of the Grassmannian to the exterior product of the elements of an arbitrary basis in the plane corresponding to this point regarded up to multiplication by a constant. The image of the Plücker embedding is given by quadratic equations (the Plücker relations).
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Kazaryan, M.E., Lando, S.K., Prasolov, V.V. (2018). Approaches to Constructing Moduli Spaces. In: Algebraic Curves. Moscow Lectures, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-02943-2_14
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DOI: https://doi.org/10.1007/978-3-030-02943-2_14
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02942-5
Online ISBN: 978-3-030-02943-2
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