Results 51 to 60 of about 193 (115)
Realization theory for rational systems: Minimal rational realizations
, 2010 The study of realizations of response maps is a topic of control and system theory. Realization theory is used in system identification and control synthesis.
Schuppen, Jan, Nemcová, Jana
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Automatic parameterization of rational curves and surfaces IV: Algebraic space curves [PDF]
, 1989 For an irreducible algebraic space curve C that is implicitly defined as the intersection of two algebraic surfaces, f (x, y, z) = 0 and g (x, y, z) = 0, there always exists a birational correspondence between the points of C and the points of an ...
Abhyankar, S. S., Bajaj, C. J.
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The realizations of response maps by rational systems
, 2008 This paper treats the problem of realization of response maps by rational systems. We provide sufficient and necessary conditions for an analytic response map to be realizable by a rational system.
Nemcová, J. (Jana), Nemcová, Jana
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New rational cubic fourfolds arising from Cremona transformations
, 2023 Are Fourier-Mukai equivalent cubic fourfolds birationally equivalent? We obtain an affirmative answer to this question for very general cubic fourfolds of discriminant 20, where we produce birational maps via the Cremona transformation defined by the ...
Fan, Yu-Wei, Lai, Kuan-Wen
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Detecting and determining preserved measures and integrals of birational maps
, 2022 In this paper we use the method of discrete Darboux polynomials to calculate preserved measures and integrals of rational maps. The approach is based on the use of cofactors and Darboux polynomials and relies on the use of symbolic algebra tools.
McLaren, David +5 more
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Automorphisms of rational surfaces with positive entropy
, 2011 final versionInternational audienceA complex compact surface which carries an automorphism of positive topological entropy has been proved by Cantat to be either a torus, a K3 surface, an Enriques surface or a rational surface.
Deserti, Julie, Grivaux, Julien
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Construction of birational trilinear volumes via tensor rank criteria
International audienceWe provide effective methods to construct and manipulate trilinear birational maps $\phi:(\mathbb{P}^1)^3\dashrightarrow \mathbb{P}^3$ by establishing a novel connection between birationality and tensor rank.
Mazón, Pablo, Busé, Laurent
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Continua of periodic points for planar integrable rational maps.
PrepublicacióWe present three alternative methodologies to find continua of periodic points with a prescribed period for rational maps having rational first integrals.
Llorens, Mireia +2 more
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On Subfields of the Function Field of a General Surface in P3
, 2015 In this paper, we study birational immersions from a very general smooth plane curve to a nonrational surface with pg =q =0 to treat dominant rational maps from a very general surface X of degree ≥ 5 in P3 to smooth projective surfaces Y.
Lee Y., Pirola G. P.
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Periodic orbits of planar integrable birational maps
A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically genus 0 or 1.
Mañosa Fernández, Víctor +1 more
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