We define an integral form of shifted quantum affine algebras of type A and construct Poincaré–Birkhoff–Witt–Drinfeld bases for them. When the shift is trivial, our integral form coincides with the RTT integral form. We prove that these integral forms are closed with respect to the coproduct and shift homomorphisms. We prove that the homomorphism from…
Arnold Mathematical Journal Template
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About the Arnold Mathematical Journal format
Arnold Mathematical Journal is a peer-reviewed journal published by Springer Nature, covering Mathematical Dynamics and Fractals, Geometric and Algebraic Topology, Algebraic Geometry and Number Theory.
| Publisher | Springer Nature |
|---|---|
| Reference style | Author–year (Springer) Author–year — (Smith, 2023) in the text Smith, A., Jones, B. and Lee, C. (2023) 'A representative article title', Arnold Mathematical Journal, 12(3), pp. 45–58.
Formats any DOI in the closest standard style — Arnold Mathematical Journal has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Mathematical Dynamics and Fractals Geometric and Algebraic Topology Algebraic Geometry and Number Theory Polynomial and algebraic computation Advanced Combinatorial Mathematics |
| ISSN | 2199-6792 |
| Citation impact (2-yr) | 0.6 |
| h-index | 13 |
| i10-index | 28 |
| Total citations | 941 |
| Article processing charge | $2,690 |
| Top institutions publishing here | National Research University Higher School of Economics |
| Journal website | www.springer.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Arnold Mathematical Journal per year
Citation impact of Arnold Mathematical Journal by publication year
Citations each year’s papers have accumulated so far — the most recent years are still building up.
Most-cited papers in Arnold Mathematical Journal
We briefly survey the theory of thermodynamic formalism for uniformly hyperbolic systems, and then describe several recent approaches to the problem of extending this theory to non-uniform hyperbolicity. The first of these approaches involves Markov models such as Young towers, countable-state Markov shifts, and inducing schemes. The other two are less fully developed but have…
The trace test in numerical algebraic geometry verifies the completeness of a witness set of an irreducible variety in affine or projective space. We give a brief derivation of the trace test and then consider it for subvarieties of products of projective spaces using multihomogeneous witness sets. We show how a dimension reduction leads to…
Consider billiard desks composed of two concentric half-circles connected with two edges. We examine billiard trajectories having a fixed circle concentric with the boundary semicircles as the caustic, such that the rotation numbers with respect to the half-circles are $$\rho _1$$ and $$\rho _2$$ respectively. Are such billiard trajectories periodic, and what are all possible…
We show that a generic real projective n-dimensional hypersurface of odd degree d, such that $$4(n-2)=\left( {\begin{array}{c}d+3\\ 3\end{array}}\right) $$ , contains “many” real 3-planes, namely, in the logarithmic scale their number has the same rate of growth, $$d^3\log d$$ , as the number of complex 3-planes. This estimate is based on the interpretation of a…