6 papers
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…
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…
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}^…
Key varieties for prime -Fano threefolds defined by Jordan algebras of cubic forms. Part II
Hiromichi Takagi
Subsequent to the previous paper [Tak5], we are concerned with the classification of complex prime -Fano -folds of anti-canonical codimension 4 which are produced, a…
Key varieties for prime -Fano threefolds defined by Jordan algebras of cubic forms. Part I
Hiromichi Takagi
We construct a -dimensional affine variety associated with -fibrations of relative Picard number . The co…
Key varieties for prime -Fano threefolds defined by Freudenthal triple systems
Hiromichi Takagi
In this paper, we concern with the classification of complex prime -Fano -folds of anti-canonical codimension 4 which are produced, as weighted complete intersection…