26,238 research outputs found
Good moduli spaces for Artin stacks
We develop the theory of associating moduli spaces with nice geometric
properties to arbitrary Artin stacks generalizing Mumford's geometric invariant
theory and tame stacks.Comment: 43 pages; improved exposition, minor correction
Uniqueness of planar tangent maps in the modified Ericksen model
We prove the uniqueness of homogeneous blow-up limits of maps minimizing the
modified Ericksen energy for nematic liquid crystals in a planar domain. The
proof is based on the Weiss monotonicity formula, and a blow-up argument,
originally due to Allard and Almgren \cite{AA} for minimal surfaces, and L.
Simon \cite{SL} for energy-minimizing maps into analytic targets, which
exploits the integrability of certain Jacobi fields.Comment: 17 page
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