Hiromichi Takagi

collaborators

5 papers

math.AG2026

Key variety construction of Sarkisov links for prime $Q$ -Fano threefolds of codimension four associated to Type $II_{2}$ projections

Hiromichi Takagi

In our paper [Tak6], we constructed eight families of quasi-smooth prime $Q$ -Fano threefolds, anticanonically embedded in codimension four, using weighted projectivization…

math.AG2025

Constructing and characterizing prime $Q$ -Fano threefolds of genus one and with six $1/2 (1, 1, 1)$ -singularites via key varieties

Hiromichi Takagi

We consider the classification problem of prime $Q$ -Fano 3-folds with at most $1/2 (1, 1, 1)$ -singularities, which was initiated in [Taka2]. We construct two distinct classes…

math.AG2025

Constructing prime $Q$ -Fano threefolds of codimension four via key varieties related with $P^{2} \times P^{2}$ -fibrations

Hiromichi Takagi

In our previous research, we constructed the affine varieties $I^£_{A}^{13}$ and $I^_{A}^{14}$ whose partial projectivizations admit $\mathbb{P}^{2}\times\mathbb{P…

math.AG2025

Key varieties for prime $Q$ -Fano threefolds defined by Freudenthal triple systems

Hiromichi Takagi

In this paper, we concern with the classification of complex prime $Q$ -Fano $3$ -folds of anti-canonical codimension 4 which are produced, as weighted complete intersection…

math.AG2025

Key varieties for prime $Q$ -Fano threefolds defined by Jordan algebras of cubic forms. Part I

Hiromichi Takagi

We construct a $13$ -dimensional affine variety $H_{A}^{13}$ associated with $P^{2} \times P^{2}$ -fibrations of relative Picard number $1$ . The co…

Key variety construction of Sarkisov links for prime Q-Fano threefolds of codimension four associated to Type II2​ projections

Constructing and characterizing prime Q-Fano threefolds of genus one and with six 1/2(1,1,1)-singularites via key varieties

Constructing prime Q-Fano threefolds of codimension four via key varieties related with P2×P2-fibrations

Key varieties for prime Q-Fano threefolds defined by Freudenthal triple systems

Key varieties for prime Q-Fano threefolds defined by Jordan algebras of cubic forms. Part I

Key variety construction of Sarkisov links for prime $Q$ -Fano threefolds of codimension four associated to Type $II_{2}$ projections

Constructing and characterizing prime $Q$ -Fano threefolds of genus one and with six $1/2 (1, 1, 1)$ -singularites via key varieties

Constructing prime $Q$ -Fano threefolds of codimension four via key varieties related with $P^{2} \times P^{2}$ -fibrations

Key varieties for prime $Q$ -Fano threefolds defined by Freudenthal triple systems

Key varieties for prime $Q$ -Fano threefolds defined by Jordan algebras of cubic forms. Part I