Results 151 to 160 of about 574 (169)
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Nœther decomposition for birational maps
2013Let $ϕ$ be a birational map of the complex projective plane. We know that $ϕ$ can be written as a composition of automorphisms of $\mathbb{P}^2_\mathbb{C}$ and the standard quadratic birational map $σ$. This writing, that is non-unique, is minimal if the number $\mathfrak{n}(ϕ)$ of $σ$ is as small as possible. We prove that if $ϕ$ is of degree $d\geq 2$
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Birational maps and special Lagrangian fibrations
Proceedings of the Steklov Institute of Mathematics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Genus of Birational Maps Between Threefolds
2014In this note we present two equivalent definitions for the genus of a birational map \(\varphi: X --\rightarrow Y\) between smooth complex projective threefolds. The first one is the definition introduced by Frumkin [Mat. Sb. (N.S.) 90(132):196–213, 325, 1973], and the second one was recently suggested to me by S. Cantat.
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Constructing quadratic birational maps via their complex rational representation
Computer Aided Geometric Design, 2021Xuhui Wang, Meng Wu, Qian Ni
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Dynamics of regular birational maps in
Journal of Functional Analysis, 2005Tien-Cuong Dinh, Nessim Sibony
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The group of symplectic birational maps of the plane and the dynamics of a family of 4D maps
Journal of Geometric Mechanics, 2020Inés Cruz, Helena Mena-Matos
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Degree growth of matrix inversion: Birational maps of symmetric, cyclic matrices
Discrete and Continuous Dynamical Systems, 2008Eric Bedford, Kyounghee Kim
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On the Construction of Elliptic Solutions of Integrable Birational Maps
Experimental Mathematics, 2017Matteo Petrera +2 more
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