… Islets were isolated from PdxCreMpc2−/− or PdxCre ER Mpc2−/− and littermate WT mice
following cannulation of the pancreas with Hank's balanced salt solution containing …

… mixed Hodge structure. Its ingredients are a weight filtration W on H"(X, Q) and a Hodge
filtration F … In this paper we show that the Hodge structure on H"(X t, ~) tends to a mixed Hodge …

… Then the induced Hodge and weight filtrations put mixed Hodge structure both on the kernel
and the cokernel. PROOF. As for the kernel, given ve kern W, and any integer p, we must …

… Some of the results in this paper were announced in [2], while the case of Hodge structures
of weight two was considered in [-1]. We wish to thank JeanLuc Brylinski and James Carlson …

… WT Hodges , WT Hodges … Wesley T Hodges: Conceptualization (lead); Data curation (lead);
Formal analysis (lead); Investigation (lead); Methodology (lead); Writing‐original draft (lead); …

… The primitive k-th cohomology group Hk(V, C fold underlies a canonical Hodge structure
of weight k, polarized by the Hodge-Riemann bilinear form; in this case, (1.5) amounts to the …

… i...i-kir...ip-1' We define a tensor S of weight W by giving the components the above values in
the … We define a tensor of weight zero at a point by taking its components in the coordinate …

… These objects are to satisfy the following two conditions: i) For each point t~M, the fibres F
r of the bundles F p constitute the Hodge filtration of a Hodge structure of weight k on the fibre …

… B, body weight gain by wild-type (WT) and Mpc2Δ16 mice on diets that were low fat (LF) or
… A and B, body weight of WT and Mpc2Δ16 mice on diets that were low fat (LF), high fat (HF), …

… These are, for a variation of Hodge structure u of weight m: (0) a locally constant sheaf u …
Hodge structure of weight m+i on Hi(S,j.vg). Moreover, in the global geometric case, the Hodge …