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- The Ohio State UniversityUS39 papers
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6 papers · 1 filter
Rothberger bounded groups and Ramsey theory
Marion Scheepers
We show that: 1. Rothberger bounded subgroups of sigma-compact groups are characterized by Ramseyan partition relations. 2. For each uncountable cardinal there is a …
The Secant Conjecture in the real Schubert calculus
Luis Garcia-Puente, Nickolas Hein, Christopher J. Hillar +4
We formulate the Secant Conjecture, which is a generalization of the Shapiro Conjecture for Grassmannians. It asserts that an intersection of Schubert varieties in a Grassmannian i…
Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates
Edward Fuselier, Grady Wright
In this paper we investigate the approximation properties of kernel interpolants on manifolds. The kernels we consider will be obtained by the restriction of positive definite kern…
Spin and exchange coupling for Ti embedded in a surface dipolar network
Raghani Pushpa, Jesus Cruz, Barbara Jones
We have studied the spin and exchange coupling of Ti atoms on a CuN/Cu(100) surface using density functional theory. We find that individual Ti have a spin of 1.0 (i.e., 2 Bohr…
Topological criteria for schlichtness
Zach Teitler
We give two sufficient criteria for schlichtness of envelopes of holomorphy in terms of topology. These are weakened converses of results of Kerner and Royden. Our first criterion…
Arithmetic toric varieties
E. Javier Elizondo, Paulo Lima-Filho, Frank Sottile +1
We study toric varieties over a field k that split in a Galois extension K/k using Galois cohomology with coefficients in the toric automorphism group. Part of this Galois cohomolo…