3期

最新文章

• Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles AI翻译
  作者：Esnault, Helene; Mehta, Vikram
  作者单位：University of Duisburg Essen; Tata Institute of Fundamental Research (TIFR)
  摘要：We show that simply connected projective manifolds in characteristic p > 0 have no nontrivial stratified bundles. This gives a positive answer to a conjecture by D. Gieseker (Ann. Sc. Norm. Super. Pisa, 4 S,r. 2(1):1-31, 1975). The proof uses Hrushovski's theorem on periodic points.
• Simple tensor products AI翻译
  作者：Hernandez, David
  作者单位：Centre National de la Recherche Scientifique (CNRS); Institut Polytechnique de Paris; Ecole Polytechnique; Universite PSL; Ecole Normale Superieure (ENS)
  摘要：Let F be the category of finite-dimensional representations of an arbitrary quantum affine algebra. We prove that a tensor product S (1) aSua <...a <...a <...aSu S (N) of simple objects of F is simple if and only S (i) aSu S (j) is simple for any i < j.
• Asymptotic behavior of solutions to the σ k -Yamabe equation near isolated singularities AI翻译
  作者：Han, Zheng-Chao; Li, YanYan; Teixeira, Eduardo V.
  作者单位：Rutgers University System; Rutgers University New Brunswick; Universidade Federal do Ceara
  摘要：sigma (k) -Yamabe equations are conformally invariant equations generalizing the classical Yamabe equation. In (J. Funct. Anal. 233: 380-425, 2006) YanYan Li proved that an admissible solution with an isolated singularity at 0aae (n) to the sigma (k) -Yamabe equation is asymptotically radially symmetric. In this work we prove that such a solution is asymptotic to a radial solution to the same equation on ae (n) a-{0}. These results generalize earlier pioneering work in this direction on the cl...
• On the algebraic K-theory of the complex K-theory spectrum AI翻译
  作者：Ausoni, Christian
  作者单位：University of Bonn
  摘要：Let p >= 5 be a prime, let ku be the connective complex K-theory spectrum, and let K(ku) be the algebraic K-theory spectrum of ku. In this paper we study the p-primary homotopy type of the spectrum K(ku) by computing its mod (p, nu(1)) homotopy groups. We show that up to a finite summand, these groups form a finitely generated free module over the polynomial algebra F-p[b], where b is a class of degree 2p + 2 defined as a higher Bott element.
• Exotic smooth structures on small 4-manifolds with odd signatures AI翻译
  作者：Akhmedov, Anar; Park, B. Doug
  作者单位：University of Waterloo; University of Minnesota System; University of Minnesota Twin Cities
  摘要：Let M be (2n - 1)CP2#2n (CP) over bar (2) for any integer n >= 1. We construct an irreducible symplectic 4-manifold homeomorphic to M and also an infinite family of pairwise non-diffeomorphic irreducible non-symplectic 4-manifolds homeomorphic to M. We also construct such exotic smooth structures when M is CP2#4 (CP) over bar (2) or 3CP(2)#k (CP) over bar (2) for k = 6, 8 10.
• Derivative complex, BGG correspondence, and numerical inequalities for compact Kahler manifolds AI翻译
  作者：Lazarsfeld, Robert; Popa, Mihnea
  作者单位：University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital; University of Michigan System; University of Michigan
• Algebraic volume density property of affine algebraic manifolds AI翻译
  作者：Kaliman, Shulim; Kutzschebauch, Frank
  作者单位：University of Miami; University of Bern
  摘要：We introduce the notion of algebraic volume density property for affine algebraic manifolds and prove some important basic facts about it, in particular that it implies the volume density property. The main results of the paper are producing two big classes of examples of Stein manifolds with volume density property. One class consists of certain affine modifications of a, (n) equipped with a canonical volume form, the other is the class of all Linear Algebraic Groups equipped with the left in...
• Stability of symplectic leaves AI翻译
  作者：Crainic, Marius; Fernandes, Rui Loja
  作者单位：Universidade de Lisboa; Utrecht University
  摘要：We find computable criteria for stability of symplectic leaves of Poisson manifolds. Using Poisson geometry as an inspiration, we also give a general criterion for stability of leaves of Lie algebroids, including singular ones. This not only extends but also provides a new approach (and proofs) to the classical stability results for foliations and group actions.
• Affine linear sieve, expanders, and sum-product AI翻译
  作者：Bourgain, Jean; Gamburd, Alex; Sarnak, Peter
  作者单位：Princeton University; University of California System; University of California Santa Cruz; Institute for Advanced Study - USA
  摘要：Let O be an orbit in Z(n) of a finitely generated subgroup Lambda of GL (n) (Z) whose Zariski closure Zcl(Lambda) is suitably large (e.g. isomorphic to SL2). We develop a Brun combinatorial sieve for estimating the number of points on O at which a fixed integral polynomial is prime or has few prime factors, and discuss applications to classical problems, including Pythagorean triangles and integral Apollonian packings. A fundamental role is played by the expansion property of the congruence gr...
• Burniat surfaces II: secondary Burniat surfaces form three connected components of the moduli space AI翻译
  作者：Bauer, I.; Catanese, F.
  作者单位：University of Bayreuth