arXiv
Open Access
2023
Two Families of Cremona Maps and orthogonal Krall-Jacobi Polynomials
Helmut Ruhland
Abstrak
Two infinite families of Cremona maps depending on one real parameter are given. For all integers $n \ge 1$ the first family of Cremona maps consists of group elements in $Bir \left( \mathbb{P}^{n} \right)$ with bidegree $(n, n)$, the second family of Cremona maps consists of group elements in $Bir \left( \mathbb{P}^{2n} \right)$ with bidegree $(2 n, 2 n)$. For the first family and $n \ge 5$, for the second family and $n \ge 3$ the existence of this group elements and the properties depend on a conjecture. But computational results suggest that the conjecture is true for all $n$.
Topik & Kata Kunci
Penulis (1)
H
Helmut Ruhland
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
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- en
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- arXiv
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- Open Access ✓