期刊： ANNALES DE L INSTITUT FOURIER, 2021; 71 (1)
We correct an error in [5, Proposition 2.16], and explain the subsequent changes in the proof of the main results.
期刊： ANNALES DE L INSTITUT FOURIER, 2019; 69 (3)
In this paper we study the systole function along Weil-Petersson geodesics. We show that the square root of the systole function is uniformly Lipschit......
期刊： ANNALES DE L INSTITUT FOURIER, 2019; 69 (2)
The seminal work by Brezis and Merle has been pioneering in studying the bubbling phenomena of the mean field equation with singular sources. When the......
期刊： ANNALES DE L INSTITUT FOURIER, 2019; 69 (5)
We first study holomorphic isometrics from the Poincare disk into the product of the unit disk and the complex unit n-ball for n >= 2. On the other......
期刊： ANNALES DE L INSTITUT FOURIER, 2019; 69 (6)
This paper is the first step in a systematic project to study examples of Kahler manifolds with positive holomorphic sectional curvature (H > 0). H......
期刊： ANNALES DE L INSTITUT FOURIER, 2018; 68 (3)
We consider the Laplacian Delta on an asymptotically hyperbolic manifold X, as defined by Mazzeo and Melrose. We give pointwise bounds on the Schwartz......
期刊： ANNALES DE L INSTITUT FOURIER, 2018; 68 (1)
In this paper, we provide a direct and constructive proof of weak factorization of h(1) (R x R) (the predual of little BMO space bmo( R x R) studied b......
期刊： ANNALES DE L INSTITUT FOURIER, 2018; 68 (6)
For a given number alpha is an element of (0, 1) and a 1-periodic function f, we study the convergence of the series Sigma(infinity)(n=1) f(x+n alpha)......
期刊： ANNALES DE L INSTITUT FOURIER, 2018; 68 (6)
For a reductive group G and a finite order Cartan-type automorphism iota of G, we construct an eigenvariety parameterizing iota-invariant cuspidal Hec......
期刊： ANNALES DE L INSTITUT FOURIER, 2018; 68 (5)
For smooth open toric varieties, we establish strong approximation off infinity with Brauer-Manin obstruction.
期刊： ANNALES DE L INSTITUT FOURIER, 2018; 68 (4)
We consider virtual pullbacks in K-theory, and show that they are bivariant classes and satisfy certain functoriality. As applications to K-theoretic ......
期刊： ANNALES DE L INSTITUT FOURIER, 2017; 67 (1)
We shall give a definition of the curvature operator for a family of weighted Bergman spaces {H-t} associated to a smooth family of smoothly bounded s......
期刊： ANNALES DE L INSTITUT FOURIER, 2017; 67 (6)
We prove the existence and the uniqueness of the SRB measure for any singular hyperbolic attractor in dimension d >= 3. The proof does not use Poin......
期刊： ANNALES DE L INSTITUT FOURIER, 2017; 67 (5)
We study the canonical stability index of nonsingular projective varieties of general type with either large canonical volume or large geometric genus......
期刊： ANNALES DE L INSTITUT FOURIER, 2017; 67 (3)
In this paper, we prove the partial C-0-estimate conjecture of Tian for an almost Kahler-Einstein metrics sequence of Fano manifolds, or more general,......
