Inventiones mathematicae

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• On the effective Nullstellensatz AI翻译
  作者：Jelonek, Z
  作者单位：Polish Academy of Sciences; Institute of Mathematics of the Polish Academy of Sciences
  摘要：Let K be an algebraically closed field and let X subset of K-m be an n-dimensional affine variety. Assume that f(1),..., f(k) are polynomials which have no common zeros on X. We estimate the degrees of polynomials A(i) is an element of K[X] such that 1 = Sigma(k)(i=1) A(i) f(i) n X. Our estimate is sharp for k <= n and nearly sharp for k > n. Now assume that f(1),..., f(k) are polynomials on X. Let I = (f(1),..., f(k)). K[X] be the ideal generated by fi. It is well-known that there is a number...
• The Plancherel decomposition for a reductive symmetric space - I. Spherical functions AI翻译
  作者：van den Ban, EP; Schlichtkrull, H
  作者单位：Utrecht University; University of Copenhagen; Aarhus University
  摘要：We prove the Plancherel formula for spherical Schwartz functions on a reductive symmetric space. Our starting point is an inversion formula for spherical smooth compactly supported functions. The latter formula was earlier obtained from the most continuous part of the Plancherel formula by means of a residue calculus. In the course of the present paper we also obtain new proofs of the uniform tempered estimates for normalized Eisenstein integrals and of the Maass-Selberg relations satisfied by...
• On uniform exponential growth for linear groups AI翻译
  作者：Eskin, A; Mozes, S; Oh, H
  作者单位：University of Chicago; Hebrew University of Jerusalem; Princeton University; Institute for Advanced Study - USA
• Bilinear eigenfunction estimates and the nonlinear Schrodinger equation on surfaces AI翻译
  作者：Burq, N; Gérard, P; Tzvetkov, N
  作者单位：Universite Paris Saclay
  摘要：We study the cubic non linear Schrodinger equation (NLS) on compact surfaces. On the sphere S-2 and more generally on Zoll surfaces, we prove that, for s > 1/4, NLS is uniformly well-posed in H-s, which is sharp on the sphere. The main ingredient in our proof is a sharp bilinear estimate for Laplace spectral projectors on compact surfaces.
• Finite groups and hyperbolic manifolds AI翻译
  作者：Belolipetsky, M; Lubotzky, A
  作者单位：Hebrew University of Jerusalem; Russian Academy of Sciences
  摘要：The isometry group of a compact n-dimensional hyperbolic manifold is known to be finite. We show that for every n >= 2, every finite group is realized as the full isometry group of some compact hyperbolic n-manifold. The cases n=2 and n=3 have been proven by Greenberg (1974) and Kojima (1988), respectively. Our proof is non constructive: it uses counting results from subgroup growth theory to show that such manifolds exist.
• Deformations of coisotropic submanifolds and strong homotopy Lie algebroids AI翻译
  作者：Oh, YG; Park, JS
  作者单位：University of Wisconsin System; University of Wisconsin Madison; Korea Institute for Advanced Study (KIAS)
  摘要：In this paper, we study deformations of coisotropic submanifolds in a symplectic manifold. First we derive the equation that governs C-infinity deformations of coisotropic submanifolds and define the corresponding C-infinity-moduli space of coisotropic submanifolds modulo the Hamiltonian isotopies. This is a non-commutative and non-linear generalization of the well-known description of the local deformation space of Lagrangian submanifolds as the set of graphs of closed one forms in the Darbou...
• Simply connected symplectic 4-manifolds with b2+=1 and c12=2 AI翻译
  作者：Park, J
  作者单位：Seoul National University (SNU)
  摘要：In this article we construct a new simply connected symplectic 4-manifold with b(2)(+) = 1 and c(1)(2) = 2 which is homeomorphic, but not diffeomorphic, to a rational surface by using rational blow-down technique. As a corollary, we conclude that a rational surface CP2#7 (CP) over bar (2) admits an exotic smooth structure.
• Perverse sheaves on real loop Grassmannians AI翻译
  作者：Nadler, D
  作者单位：University of Chicago
  摘要：The aim of this paper is to identify a certain tensor category of perverse sheaves on the loop Grassmannian Gr(R) of a real form G(R) of a connected reductive complex algebraic group G with the category of finite-dimensional representations of a connected reductive complex algebraic subgroup H of the dual group. G. The root system of H is closely related to the restricted root system of G(R). The fact that H is reductive implies that an interesting family of real algebraic maps satisfies the c...
• Multiple recurrence and nilsequences AI翻译
  作者：Bergelson, V; Host, B; Kra, B; Ruzsa, I
  作者单位：University System of Ohio; Ohio State University; Universite Gustave-Eiffel; Northwestern University; HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; Hungarian Academy of Sciences
  摘要：Aiming at a simultaneous extension of Khintchine's and Furstenberg's Recurrence theorems, we address the question if for a measure preserving system (X, X, mu, T) and a set A is an element of X of positive measure, the set of integers n such that mu( A boolean AND T-n A boolean AND T-2n A boolean AND... boolean AND T-kn A) >mu( A)(k+1) - epsilon is syndetic. The size of this set, surprisingly enough, depends on the length (k + 1) of the arithmetic progression under consideration. In an ergodic...
• The nilpotence conjecture in K-theory of toric varieties AI翻译
  作者：Gubeladze, J
  作者单位：California State University System; San Francisco State University
  摘要：It is shown that all nontrivial elements in higher K-groups of toric varieties are annihilated by iterations of the natural Frobenius type endomorphisms. This is a higher analog of the triviality of vector bundles on affine toric varieties.