Journal: Mathematische Zeitschrift

Abbreviation

Math. Z.

Publisher

Springer

Journal Volumes

ISSN

1432-1823
0025-5874

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Publications 1 - 10 of 39
  • On the Upsilon invariant and satellite knots
    Item type: Journal Article
    Feller, Peter; Park, Junghwan; Ray, Arunima (2019)
    Mathematische Zeitschrift
  • Real interpolation of spaces of differential forms
    Item type: Journal Article
    Hiptmair, Ralf; Li, Jingzhi; Zou, Jun (2012)
    Mathematische Zeitschrift
  • Homotopy invariance of coherent Witt groups
    Item type: Journal Article
    Gille, Stefan (2003)
    Mathematische Zeitschrift
  • Harmonic maps from degenerating Riemann surfaces
    Item type: Journal Article
    Zhu, Miaomiao (2010)
    Mathematische Zeitschrift
    We study harmonic maps from degenerating Riemann surfaces with uniformly bounded energy and show the so-called generalized energy identity. We find conditions that are both necessary and sufficient for the compactness in W 1,2 and C 0 modulo bubbles of sequences of such maps.
  • Quantization for a fourth order equation with critical exponential growth
    Item type: Journal Article
    Struwe, Michael (2007)
    Mathematische Zeitschrift
  • The spectral decomposition of |θ|2
    Item type: Journal Article
    Nelson, Paul D. (2021)
    Mathematische Zeitschrift
    Let θ be an elementary theta function, such as the classical Jacobi theta function. We establish a spectral decomposition and surprisingly strong asymptotic formulas for ⟨|θ|2,φ⟩ as φ traverses a sequence of Hecke-translates of a nice enough fixed function. The subtlety is that typically |θ|2∉L2. Applications to the subconvexity, quantum variance and 4-norm problems are indicated.
  • Ruled Laguerre minimal surfaces
    Item type: Journal Article
    Skopenkov, Mikhail; Pottmann, Helmut; Grohs, Philipp (2012)
    Mathematische Zeitschrift
  • Evolution of convex hypersurfaces by powers of the mean curvature
    Item type: Journal Article
    Schulze, Felix (2005)
    Mathematische Zeitschrift
  • The integral Picard groups of low-degree Hurwitz spaces
    Item type: Journal Article
    Canning, Samir; Larson, Hannah (2023)
    Mathematische Zeitschrift
    We compute the Picard groups with integral coefficients of the Hurwitz stacks parametrizing degree 4 and 5 covers of P1. As a consequence, we also determine the integral Picard groups of the Hurwitz stacks parametrizing simply branched covers. For simple branching, the Picard groups are finite, with order depending on the genus.
  • A sharp exponent on sum of distance sets over finite fields
    Item type: Journal Article
    Koh, Doowon; Pham, Thang; Shen, Chun-Yen; et al. (2021)
    Mathematische Zeitschrift
    We study a variant of the Erdős–Falconer distance problem in the setting of finite fields. More precisely, let E and F be sets in Fqd, and Δ (E) , Δ (F) be corresponding distance sets. We prove that if |E||F|≥Cqd+13 for a sufficiently large constant C, then the set Δ (E) + Δ (F) covers at least a half of all distances. Our result in odd dimensional spaces is sharp up to a constant factor. When E lies on a sphere in Fqd, it is shown that the exponent d+13 can be improved to d-16. Finally, we prove a weak version of the Erdős–Falconer distance conjecture in four-dimensional vector spaces for multiplicative subgroups over prime fields. The novelty in our method is a connection with additive energy bounds of sets on spheres or paraboloids. © 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
Publications 1 - 10 of 39