Results 21 to 30 of about 555 (183)
Equivariant birational types and Burnside volume
, 2022 We introduce equivariant Burnside groups, new invariants in equivariant birational geometry, generalizing birational symbols groups for actions of finite abelian groups, due to Kontsevich, Pestun, and the second author, and study their properties.
Tschinkel, Yuri; https://orcid.org/ +1 more
core +1 more source
Journal of High Energy Physics, 2021 We consider Bekenstein-Hawking entropy and attractors in extremal BPS black holes of N $$ \mathcal{N} $$ = 2, D = 4 ungauged supergravity obtained as reduction of minimal, matter-coupled D = 5 supergravity.
Bert van Geemen +2 more
doaj +1 more source
ON THE DYNAMICS OF BIRATIONAL MAPPINGS OF THE PLANE [PDF]
Journal of the Korean Mathematical Society, 2003 Summary: In this paper we discuss how the dynamics of certain birational maps of the real plane may be studied using complex methods.
openaire +2 more sources
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
core +1 more source
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
openaire +4 more sources
Periodic Orbits of Planar Integrable Birational Maps [PDF]
, 2015 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.
Víctor Mañosa +3 more
core +1 more source
Holomorphic symmetric differentials and a birational characterization of Abelian Varieties [PDF]
, 2020 A generically generated vector bundle on a smooth projective variety yields a rational map to a Grassmannian, called Kodaira map. We answer a previous question, raised by the asymptotic behaviour of such maps, giving rise to a birational characterization
Ernesto C. Mistretta
core +1 more source
Integrable maps in 4D and modified Volterra lattices [PDF]
Open Communications in Nonlinear Mathematical PhysicsIn recent work, we presented the construction of a family of difference equations associated with the Stieltjes continued fraction expansion of a certain function on a hyperelliptic curve of genus $g$. As well as proving that each such discrete system is
A. N. W. Hone +3 more
doaj +1 more source
Effective criteria for bigraded birational maps
Journal of Symbolic Computation, 2017 In this paper, we consider rational maps whose source is a product of two subvarieties, each one being embedded in a projective space. Our main objective is to investigate birationality criteria for such maps. First, a general criterion is given in terms of the rank of a couple of matrices that became to be known as Jacobian dual matrices.
Nicolás Botbol +5 more
openaire +5 more sources
Birational rowmotion on a rectangle over a noncommutative ring
, 2023 We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This resolves a conjecture from 2014.
Grinberg, Darij, Roby, Tom
core +1 more source