Transversal section of σ.

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Figure 2. Map after this work. The parameterized curve of color...

Figure 5. Case p = n − 1. We have cones generated by 4 generators....

Figure 6. Case p + q = n. The wall τ 12 is of type (1, 1)/n. Then the...

Figure 7. Star subdivision along minimizer v

On the geography of $3$-folds via asymptotic behavior of invariants

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Jul 2023

Yerko Torres-Nova

Roughly speaking, the problem of geography asks for the existence of varieties of general type after we fix some invariants. In dimension $1$, where we fix the genus, the geography question is trivial, but already in dimension $2$, it becomes a hard problem in general. In higher dimensions, this problem is essentially wide open. In this paper, we f...