3 problems

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Affine cubic del Pezzo conjecture for monodromy data of the elliptic Painleve equation
Consider the space of monodromy data of the elliptic Painlevé equation, namely Sakai’s elliptic equation $A_0^{(1)}$ . Affine cubic del Pezzo conjecture. This space is an affine del…
Conjectureopendel-pezzo-surfaces monodromy-data painleve-equationsarXiv posted 2 days ago
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Affine and symplectic conjecture for monodromy spaces of the q-Painleve equations
For every $q$ -Painlevé equation in the Murata list, consider its space of monodromy data. Affine and symplectic conjecture. These spaces are affine and possess a symplectic form sa…
Conjectureopenmonodromy-data painleve-equations symplectic-geometryarXiv posted 2 days ago
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Embedding conjecture for the six-coordinate monodromy-data map
Let ${\mathcal{F}}$ be the space of monodromy data, and let $\Pi_{ij}$ define a map … The map is known in the source to be an immersion. Embedding conjecture. This map is an embedd…
Conjectureopenmonodromy-data painleve-equationsarXiv posted 2 days ago

Affine cubic del Pezzo conjecture for monodromy data of the elliptic Painleve equation