Showing papers by "S. Sankaran published in 2022"
TL;DR: In this article, the role of OR and their Bain variant classifications on the plastic anisotropy and, in turn, on the formability of duplex stainless steels (DSS) was studied.
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12 Jun 2022
TL;DR: In this paper , a family of arithmetic zero cycles in the arithmetic Chow group of a modular curve X0(N) for N > 3 odd and square-free was defined, and the arithmetic degrees of these cycles were identified as q-coefficients of the Siegel Eisenstein series of genus two.
Abstract: We define a family of arithmetic zero cycles in the arithmetic Chow group of a modular curve X0(N), for N > 3 odd and squarefree, and identify the arithmetic degrees of these cycles as q-coefficients of the central derivative of a Siegel Eisenstein series of genus two. This parallels work of Kudla-Rapoport-Yang for Shimura curves.
28 Oct 2022
TL;DR: In this article , a version of the arithmetic Siegel-Weil formula for (zero dimensional) Shimura varieties attached to tori is formulated and proved, with additional data.
Abstract: We formulate and prove a version of the arithmetic Siegel-Weil formula for (zero dimensional) Shimura varieties attached to tori, equipped with some additional data. More precisely, we define a family of “special” divisors in terms of Green functions at archimedean and non-archimedean places, and prove that their degrees coincide with the Fourier coefficients of the central derivative of an Eisenstein series. The proof relies on the usual Siegel-Weil formula to provide a direct link between both sides of the identity, and in some sense, offers a more conceptual point of view on prior results in the literature.
TL;DR: In this article , grain boundary diffusion of Ni in the Ni-Bi alloys is measured in Harrison's B- and C-type kinetic regimes applying the radiotracer technique and utilizing the 63Ni radioisotope.