Results 11 to 20 of about 574 (169)
Birational Maps of X(1) into P2
Glasnik matematički, 2013 In this paper we study birational maps of modular curve X(1) attached to SL2(Z) into the projective plain P2. We prove that every curve of genus 0 and degree q in P2 can be uniformized by modular forms for SL2(Z) of weight 12q but not with modular forms of smaller weight, and that the corresponding uniformization can be chosen to be a birational ...
Muić, Goran, Mikoč, Damir
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On the conjugacy classes of monomial birational maps
, 2023 error in the proof of Theorem ...
Déserti, Julie
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On the Construction of Elliptic Solutions of Integrable Birational Maps [PDF]
Experimental Mathematics, 2016 We present a systematic technique to find explicit solutions of birational maps, provided that these solutions are given in terms of elliptic functions. The two main ingredients are: (i) application of classical addition theorems for elliptic functions, and (ii) experimental technique to detect an algebraic curve containing a given sequence of points ...
Petrera, Matteo +3 more
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Tri-linear birational maps in dimension three
Mathematics of Computation, 2023 A tri-linear rational map in dimension three is a rational map ϕ :
Laurent Busé +2 more
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Symplectic Maps from Cluster Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We consider nonlinear recurrences generated from the iteration of maps that arise from cluster algebras. More precisely, starting from a skew-symmetric integer matrix, or its corresponding quiver, one can define a set of mutation operations, as well as a
Allan P. Fordy, Andrew Hone
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Dynamics of birational maps of P^2 [PDF]
Indiana University Mathematics Journal, 1996 Inspired by work done for polynomial automorphisms, we apply pluripotential theory to study iteration of birational maps of P2. A major theme is that success of pluripotential theoretic constructions depends on separation between orbits of the forward and backward indeterminacy sets.
Jeffrey Diller
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Open loci of ideals with applications to birational maps
Proceedings of the American Mathematical Society, 2023 In this work we show that the loci of ideals in principal class, ideals of grade at least two, and ideals of maximal analytic spread are Zariski open sets in the parameter space. As an application, we show that the set of birational maps of clear polynomial degree
Hassanzadeh, S. Hamid +1 more
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Nonlinear Schrödinger type tetrahedron maps
Nuclear Physics B, 2020 This paper is concerned with the construction of new solutions in terms of birational maps to the functional tetrahedron equation and parametric tetrahedron equation.
S. Konstantinou-Rizos
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$F$-SIGNATURE UNDER BIRATIONAL MORPHISMS
Forum of Mathematics, Sigma, 2019 We study $F$-signature under proper birational morphisms $\unicode[STIX]{x1D70B}:Y\rightarrow X$, showing that $F$-signature strictly increases for small morphisms or if $K_{Y}\leqslant \unicode[STIX]{x1D70B}^{\ast }K_{X}$.
LINQUAN MA +3 more
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Discrete integrable systems and Poisson algebras from cluster maps [PDF]
, 2014 We consider nonlinear recurrences generated from cluster mutations applied to quivers that have the property of being cluster mutation-periodic with period 1.
Fordy, AP +3 more
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