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Near-Optimal Detection of Geometric Objects by Fast Multiscale Methods
Fast Multiscale Methods Geometric Objects
2015/8/21
We construct detectors for ‘geometric’ objects in noisy data. Examples include a detector
for presence of a line segment of unknown length, position, and orientation in two-dimensional
image data wi...
Coloured quivers for rigid objects and partial triangulations: The unpunctured case
Coloured quivers rigid objects partial triangulations unpunctured case
2011/2/28
We associate a coloured quiver to a rigid object in a Hom-finite 2-Calabi–Yau triangulated category and to a partial triangulation on a marked (unpunctured) Riemann surface.
We prove that the specialization to q = 1 of a Kirillov-Reshetikhin module for an untwisted
quantum affine algebra of classical type is projective in a suitable category. This
yields a uniform chara...
An object in the bounded derived category Db(X) of coherent sheaves on a complex projective K3 surface X is spherical if it is rigid and simple. Although spherical objects form only a discrete set in ...
A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects
Bloch-Beilinson conjecture K3 surfaces spherical objects
2010/12/10
For a projective K3 surface X over an algebraically closed field k let Db(X) denote the bounded derived category of coherent sheaves. Spherical objects, e.g. line bundles and rigid
stable bundles, pl...