Annals of Mathematics

最新文章

• Some new monotonicity theorems with applications to free boundary problems AI翻译
  作者：Caffarelli, LA; Jerison, D; Kenig, CE
• Functorial products for GL2xGL3 and the symmetric cube for GL2 AI翻译
  作者：Kim, HH; Shahidi, F
• Proof of the Double Bubble Conjecture AI翻译
  作者：Hutchings, M; Morgan, F; Ritoré, M; Ros, A
  摘要：We prove that the standard double bubble provides the least-area way to enclose and separate two regions of prescribed volume in R-3.
• Braid groups are linear AI翻译
  作者：Krammer, D
  摘要：In a previous work [11], the author considered a representation of the braid group rho: B-n - GL(m)(Z[q(+/-1), t(+/-1)]) (m = n(n-1)/2), and proved it to be faithful for n = 4. Bigelow [3] then proved the same representation to be faithful for all n by a beautiful topological argument. The present paper gives a different proof of the faithfulness for all n. We establish a relation between the Charney length in the braid group and exponents of t. A certain B-n-invariant subset of the module is ...
• A smooth foliation of the 5-sphere by complex surfaces AI翻译
  作者：Meersseman, L; Verjovsky, A
  摘要：In this paper we construct a smooth, codimension-one, foliation on the 5-sphere in which every leaf is a complex surface, and such that the complex structure varies smoothly.
• Linear equations in variables which lie in a multiplicative group AI翻译
  作者：Evertse, JH; Schlickewei, HP; Schmidt, WM
  摘要：Lot K be a field of characteristic 0 and lot n be a natural number. Let Gamma be a subgroup of the multiplicative group (K*)(n) of finite rank r. Given a(1), ..., a(n) is an element of K* write A(a(1), ..., a(n), Gamma) for the number of solutions x = (x(1), ..., x(n)) is an element of Gamma of the equation a(1)x(1) + (...) + a(n)x(n) = 1, such that no proper subsum of a(1)x(1) + (...) + a(n)x(n) vanishes. We derive an explicit upper bound for A (a(1), ..., a(n), Gamma) which depends only on t...
• Symmetry classes of alternating-sign matrices under one roof AI翻译
  作者：Kuperberg, G
  摘要：In a previous article [22], we derived the alternating-sign matrix (ASM) theorem from the Izergin-Korepin determinant [12], [19], [13] for a partition function for square ice with domain wall boundary. Here we show that the same argument enumerates three other symmetry classes of alternating-sign matrices: VSASMs (vertically symmetric ASMs), even HTSASMs (half-turn-symmetric ASMs), and even QTSASMs (quarter-turn-symmetric ASMs). The VSASM enumeration was conjectured by Mills; the others by Rob...
• Convex hypersurfaces of prescribed curvatures AI翻译
  作者：Guan, B; Guan, PF
• Zero-cycles and K-theory on normal surfaces AI翻译
  作者：Krishna, A; Srinivas, V
  摘要：In this paper we prove a formula, conjectured by Bloch and Srinivas [S2], which describes the Chow group of zero cycles of a normal quasi-projective surface X over a field, as an inverse limit of relative Chow groups of a desingularisation (X) over tilde relative to multiples of the exceptional divisor. We then give several applications of this result - a relative version of the famous Bloch Conjecture on 0-cycles, the triviality of the Chow group of 0-cycles for any 2-dimensional normal grade...
• Fourier frames AI翻译
  作者：Ortega-Cerdà, J; Seip, K
  摘要：We solve the problem of Duffin and Schaeffer (1952) of characterizing those sequences of real frequencies which generate Fourier frames. Equivalently, we characterize the sampling sequences for the Paley-Wiener space. The key step is to connect the problem with do Branges' theory of Hilbert spaces of entire functions. We show that our description of sampling sequences permits us to obtain a classical inequality of H. Landau as a consequence of Pavlov's description of Riesz bases of complex exp...