Moduli conjecture for del Pezzo orders of type F52+F^{2+}_5

Let CC be the canonically embedded complete-intersection curve of degree 88 and genus 55 arising as the base locus of a net of quadrics in P4\mathbb{P}^4. Fix ramification data of type F52+F^{2+}_5, a Morita equivalence class, and the Chern classes. Moduli conjecture. The moduli space of quaternion orders with these fixed data is the curve CC as constructed above. This conjecture predicts that the proper zero-dimensional moduli-space behavior found for other cases is replaced here by a moduli space identified with the curve CC; the source gives no resolution status.

Sources & referencesView supporting material

Primary source

Daniel Chan and Colin Ingalls, “Conic bundles and Clifford algebras”, arXiv:1101.1705 (2011).

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