Results 1 to 10 of about 123 (116)
Birational Quadratic Planar Maps with Generalized Complex Rational Representations
Mathematics, 2023 Complex rational maps have been used to construct birational quadratic maps based on two special syzygies of degree one. Similar to complex rational curves, rational curves over generalized complex numbers have also been constructed by substituting the ...
Xuhui Wang +4 more
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Real Dynamics of Integrable Birational Maps [PDF]
Qualitative Theory of Dynamical Systems, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesc Mañosas, Mañosas Francesc
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Degree Complexity of a Family of Birational Maps [PDF]
Mathematical Physics Analysis and Geometry, 2008 We compute the degree complexity of a family of birational mappings of the plane with high order singularities.
Eric Bedford +2 more
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On the monomial birational maps of the projective space [PDF]
Anais da Academia Brasileira de Ciências, 2003 We describe the group structure of monomial Cremona transformations. It follows that every element of this group is a product of quadratic monomial transformations, and geometric descriptions in terms of fans.
Gonzalez-Sprinberg Gérard, Pan Ivan
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Motivic invariants of birational maps
Annals of MathematicsWe construct invariants of birational maps with values in the Kontsevich--Tschinkel group and in the truncated Grothendieck groups of varieties. These invariants are morphisms of groupoids and are well-suited to investigating the structure of the Grothendieck ring and L-equivalence.
Evgeny Shinder
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A construction of a large family of commuting pairs of integrable symplectic birational four-dimensional maps [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2017 Matteo Petrera, Yuri B Suris
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On Birational Maps and Jacobian Matrices [PDF]
Compositio Mathematica, 2001 One is concerned with Cremona-like transformations, i.e., rational maps from $ P$ n to $ P$ m that are birational onto the ...
RUSSO, Francesco, SIMIS A.
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On degrees of birational mappings [PDF]
Mathematical Research Letters, 2020 We prove that the degrees of the iterates ${\rm deg}(f^n)$ of a birational map satisfy $\liminf({\rm deg}(f^n))
Cantat, Serge, Xie, Junyi
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Cycle Class Maps and Birational Invariants [PDF]
Communications on Pure and Applied Mathematics, 2020 AbstractWe introduce new obstructions to rationality for geometrically rational threefolds arising from the geometry of curves and their cycle maps.
Hassett, Brendan, Tschinkel, Yuri
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Torification and factorization of birational maps [PDF]
Journal of the American Mathematical Society, 2002 Building on work of the fourth author and Morelli’s work, we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field K
Abramovich, D. +3 more
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