Results 21 to 30 of about 3,097 (85)
Viscosity Limits for Zeroth‐Order Pseudodifferential Operators
Communications on Pure and Applied Mathematics, Volume 75, Issue 8, Page 1798-1869, August 2022., 2022 Abstract Motivated by the work of Colin de Verdière and Saint‐Raymond on spectral theory for zeroth‐order pseudodifferential operators on tori, we consider viscosity limits in which zeroth‐order operators, P, are replaced by P + iν Δ, ν > 0. By adapting the Helffer–Sjöstrand theory of scattering resonances, we show that, in a complex neighbourhood of ...
Jeffrey Galkowski, Maciej Zworski
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On the systole growth in congruence quaternionic hyperbolic manifolds
Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1265-1281, August 2022., 2022 Abstract We provide an explicit lower bound for the systole in principal congruence covers of compact quaternionic hyperbolic manifolds. We also prove the optimality of this lower bound.
Vincent Emery +2 more
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The envelopes of holomorphy of tube domains in infinite dimensional Banach spaces [PDF]
Pacific Journal of Mathematics, 1960 openaire +5 more sources
Maximal gonality on strata of differentials and uniruledness of strata in low genus
Bulletin of the London Mathematical Society, Volume 53, Issue 6, Page 1627-1635, December 2021., 2021 Abstract We prove that for a generic element in a nonhyperelliptic component of an abelian stratum Hg(μ) in genus g, the underlying curve has maximal gonality. We extend this result to the case of quadratic strata when the partition μ has positive entries. As a consequence we deduce that all nonhyperelliptic components of H9(μ) are uniruled when μ is a
Andrei Bud
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Nowhere differentiable intrinsic Lipschitz graphs
Bulletin of the London Mathematical Society, Volume 53, Issue 6, Page 1766-1775, December 2021., 2021 Abstract We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow‐up limits, none of which is a homogeneous subgroup. This provides counterexamples to a Rademacher theorem for intrinsic Lipschitz graphs.
Antoine Julia +2 more
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Differential forms on log canonical spaces in positive characteristic
Journal of the London Mathematical Society, Volume 104, Issue 5, Page 2208-2239, December 2021., 2021 Abstract Given a logarithmic 1‐form on the snc locus of a log canonical surface pair (X,D) over a perfect field of characteristic p≥7, we show that it extends with at worst logarithmic poles to any resolution of singularities. We also prove the analogous statement for regular differential forms, under an additional tameness hypothesis.
Patrick Graf
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Exterior products of operators and superoptimal analytic approximation
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 299-412, December 2021., 2021 Abstract We give a new algorithm for the construction of the unique superoptimal analytic approximant of a given continuous matrix‐valued function on the unit circle, using exterior powers of operators in preference to spectral or Wiener–Masani factorizations.
Dimitrios Chiotis +2 more
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Optimal Symplectic Connections on Holomorphic Submersions
Communications on Pure and Applied Mathematics, Volume 74, Issue 10, Page 2132-2184, October 2021., 2021 The main result of this paper gives a new construction of extremal Kähler metrics on the total space of certain holomorphic submersions, giving a vast generalisation and unification of results of Hong, Fine and others. The principal new ingredient is a novel geometric partial differential equation on such fibrations, which we call the optimal ...
Ruadhaí Dervan, Lars Martin Sektnan
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On the structure of double complexes
Journal of the London Mathematical Society, Volume 104, Issue 2, Page 956-988, September 2021., 2021 Abstract We study consequences and applications of the folklore statement that every double complex over a field decomposes into so‐called squares and zigzags. This result makes questions about the associated cohomology groups and spectral sequences easy to understand.
Jonas Stelzig
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The Kodaira dimension of some moduli spaces of elliptic K3 surfaces
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 269-294, July 2021., 2021 Abstract We study the moduli spaces of elliptic K3 surfaces of Picard number at least 3, that is, U⊕⟨−2k⟩‐polarized K3 surfaces. Such moduli spaces are proved to be of general type for k⩾220. The proof relies on the low‐weight cusp form trick developed by Gritsenko, Hulek and Sankaran.
Mauro Fortuna, Giacomo Mezzedimi
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