3 papers
math.AG2026
Key variety construction of Sarkisov links for prime -Fano threefolds of codimension four associated to Type projections
Hiromichi Takagi
In our paper [Tak6], we constructed eight families of quasi-smooth prime -Fano threefolds, anticanonically embedded in codimension four, using weighted projectivization…
math.AG2025
Constructing and characterizing prime -Fano threefolds of genus one and with six -singularites via key varieties
Hiromichi Takagi
We consider the classification problem of prime -Fano 3-folds with at most -singularities, which was initiated in [Taka2]. We construct two distinct classes…
math.AG2024
Constructing prime -Fano threefolds of codimension four via key varieties related with -fibrations
Hiromichi Takagi
In our previous research, we constructed the affine varieties and whose partial projectivizations admit $\mathbb{P}^{2}\times\mathbb{P}^…