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25839 results in Abstract analysis

Page 97 of 1292

  • GMJ volume 64 issue 2 Cover and Front matter

  • Journal:
    Glasgow Mathematical Journal / Volume 64 / Issue 2 / May 2022
    Published online by Cambridge University Press:
    06 April 2022, pp. f1-f2
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  • ERRATUM TO: CONNECTIVITY AND PURITY FOR LOGARITHMIC MOTIVES

  • Federico Binda, Alberto Merici
  • Journal:
    Journal of the Institute of Mathematics of Jussieu / Volume 22 / Issue 2 / March 2023
    Published online by Cambridge University Press:
    04 April 2022, pp. 1001-1002
    Print publication:
    March 2023
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  • REDUCTIONS OF $2$-DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE $\mathcal L$-INVARIANT

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  • John Bergdall, Brandon Levin, Tong Liu
  • Journal:
    Journal of the Institute of Mathematics of Jussieu / Volume 22 / Issue 6 / November 2023
    Published online by Cambridge University Press:
    01 April 2022, pp. 2619-2644
    Print publication:
    November 2023
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  • We determine reductions of $2$-dimensional, irreducible, semistable, and non-crystalline representations of $\mathrm {Gal}\left (\overline {\mathbb {Q}}_p/\mathbb {Q}_p\right )$ with Hodge–Tate weights $0 < k-1$ and with $\mathcal L$-invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for$k \geq p$.

  • PRM volume 152 issue 2 Cover and Front matter

  • Journal:
    Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 152 / Issue 2 / April 2022
    Published online by Cambridge University Press:
    01 April 2022, pp. f1-f2
    Print publication:
    April 2022
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  • PRM volume 152 issue 2 Cover and Back matter

  • Journal:
    Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 152 / Issue 2 / April 2022
    Published online by Cambridge University Press:
    01 April 2022, pp. b1-b2
    Print publication:
    April 2022
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  • On the topological complexity and zero-divisor cup-length of real Grassmannians

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  • Marko Radovanović
  • Journal:
    Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 2 / April 2023
    Published online by Cambridge University Press:
    31 March 2022, pp. 702-717
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    April 2023
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  • Topological complexity naturally appears in the motion planning in robotics. In this paper we consider the problem of finding topological complexity of real Grassmann manifolds $G_k(\mathbb {R}^{n})$. We use cohomology methods to give estimates on the zero-divisor cup-length of $G_k(\mathbb {R}^{n})$ for various $2\leqslant k< n$, which in turn give us lower bounds on topological complexity. Our results correct and improve several results from Pavešić (Proc. Roy. Soc. Edinb. A 151 (2021), 2013–2029).

Page 97 of 1292