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The Gross–Kohnen–Zagier theorem over totally real fields
Abstract On Shimura varieties of orthogonal type over totally real fields, we prove a product formula and the modularity of Kudla’s generating series of special cycles in Chow groups.
Verma modules over the W(2,2) algebras
Abstract We use a new method to study the singular and subsingular vectors of Verma modules over the W ( 2 , 2 ) algebras and show that a subsingular vector exists in the Verma module under someExpand
The second maximal and minimal Kirchhoff indices of unicyclic graphs 1
Resistance distance was introduced by Klein and Randic. The Kirchhoff index Kf(G) of a graph G is the sum of resistance distances between all pairs of vertices. In this paper, we give the secondExpand
Analyses of the vertical and temporal distribution of sulfate-reducing bacteria in Lake Aha (China)
In April and September of 2005, two sediment cores were collected from Lake Aha, which is polluted by the acid mine drainage of the mining industries. Sulfate-reducing bacteria (SRB) groups and theirExpand
Charge ordering in PrCuMn6O12 and its behavior under pressure
Polycrystalline PrCuMn6O12 sample has been successfully synthesized. It has been characterized by x-ray diffraction (XRD), magnetic and magnetotransport measurements at ambient pressure, andExpand
Geochronology, geochemistry, fluid inclusion and C, O and Hf isotope compositions of the Shuitou fluorite deposit, Inner Mongolia, China
Abstract The Late Mesozoic (i.e. 150–120 Ma) marks one of the most active periods of magmatism in the Southern Great Xing'an Range (SGXR), associated with large-scale mineralization. Here weExpand
Theoretical and numerical analysis of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients
Abstract In this paper, we consider the theoretical and numerical analysis of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. TheExpand
Weil representation and Arithmetic Fundamental Lemma
By a global approach, we prove the arithmetic fundamental lemma conjecture for unitary groups in $n$ variables over $\mathbb{Q}_p$ when $p\geq n$.
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