期刊： DUKE MATHEMATICAL JOURNAL, 2021; 170 (10)
We prove a conjecture of Dipendra Prasad on Ext-branching from GL(n+1)(F) to GL(n)(F), where F is a p-adic field, and we give a projectivity criterion......
期刊： DUKE MATHEMATICAL JOURNAL, 2021; 170 (7)
We consider hedgehog solutions in the (3 + 1)-dimensional Skyrme model, which is an energy-supercritical problem. We introduce a new strategy to prove......
期刊： DUKE MATHEMATICAL JOURNAL, 2021; 170 (8)
Our goal here is to apply deformation quantization to the study of the coadjoint orbit method in the case of real reductive Lie groups. We first prove......
期刊： DUKE MATHEMATICAL JOURNAL, 2021; 170 (2)
We study noncommutative maximal inequalities and ergodic theorems for group actions on von Neumann algebras. Consider a locally compact group G of pol......
期刊： DUKE MATHEMATICAL JOURNAL, 2020; 169 (6)
Let {rho(l)}(l) be the system of l-adic representations arising from the i th l-adic cohomology of a proper smooth variety X defined over a number fie......
期刊： DUKE MATHEMATICAL JOURNAL, 2020; 169 (18)
We determine the minimum positive entropy of complex Enriques surface automorphisms. This together with McMullen's work completes the determination of......
期刊： DUKE MATHEMATICAL JOURNAL, 2020; 169 (11)
We provide an improvement to "The Noether inequality for algebraic 3-folds," Duke Math. J. 169 (2020), no. 9, 1603-1645.
期刊： DUKE MATHEMATICAL JOURNAL, 2020; 169 (3)
We show that the finite time blowup solutions for the corotational wave-map problem constructed by the first author along with Gao, Schlag, and Tataru......
期刊： DUKE MATHEMATICAL JOURNAL, 2020; 169 (4)
We study the fundamental rogue wave solutions of the focusing nonlinear Schrodinger equation in the limit of large order. Using a recently proposed Ri......
期刊： DUKE MATHEMATICAL JOURNAL, 2019; 168 (17)
We consider the problem of constructing solutions to the fractional Yamabe problem which are singular at a given smooth submanifold, for which we esta......
期刊： DUKE MATHEMATICAL JOURNAL, 2019; 168 (1)
Let G be a real reductive group, and let chi be a character of a reductive subgroup H of G. We construct chi-invariant linear functionals on certain c......
期刊： DUKE MATHEMATICAL JOURNAL, 2019; 168 (7)
We prove the nonvanishing theorem for 3-folds over an algebraically closed field k of characteristic p > 5.
期刊： DUKE MATHEMATICAL JOURNAL, 2019; 168 (7)
We study algebraic cycles on moduli spaces f(h) of h-polarized hyper-Kahler manifolds. Following previous work of Marian, Oprea, and Pandharipande on ......
期刊： DUKE MATHEMATICAL JOURNAL, 2019; 168 (8)
In this paper we investigate the geometry of the orbit space of the closure of the subscheme parameterizing smooth Kohler-Einstein Fano manifolds insi......
期刊： DUKE MATHEMATICAL JOURNAL, 2019; 168 (9)
Let k be an algebraically closed field of characteristic p > 0. We give a birational characterization of ordinary abelian varieties over k: a smoot......
