Equidistribution of saddle periodic points for Hénon-type automorphisms of $$\mathbb {C}^k$$Mathematische Annalen - Tập 366 - Trang 1207-1251 - 2016
Tien-Cuong Dinh, Nessim Sibony
In this paper, we prove the equidistribution of saddle periodic points for
Hénon-type automorphisms of $$\mathbb {C}^k$$ with respect to its equilibrium
measure. A general strategy to obtain equidistribution properties in any
dimension is presented. It is based on our recent theory of densities for
positive closed currents. Several fine properties of dynamical currents are also
proved.... hiện toàn bộ
Mukai flop and Ruan cohomologyMathematische Annalen - Tập 330 - Trang 577-599 - 2004
Jianxun Hu, Wanchuan Zhang
Suppose that two compact symplectic manifolds X,X′ are connected by a sequence
of simple Mukai flops. In this paper, we construct a ring isomorphism between
cohomology rings of X and X′. Using the localization technique, we prove that
the quantum corrected products on X,X′ are the ordinary intersection products.
Furthermore, X,X′ have isomorphic Ruan cohomology, i.e. we verify the
cohomological mi... hiện toàn bộ