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Classification of non-symplectic automorphisms on $K3$ surfaces which act trivially on the Néron-Severi lattice
K3 surface non-symplectic automorphism
2010/12/10
We treat non-symplectic automorphisms on K3 surfaces which act trivially on the N´eron-Severi lattice. In this paper,we classify non-symplectic automorphisms of prime-power order,especially 2-po...
Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces
Framed sheaves moduli spaces Uhlenbeck-Donaldson compactification
2010/11/30
We construct a compactification Mμss of the Uhlenbeck-Donaldson type for the moduli space of slope stable framed bundles. This is a kind of a moduli space of slope semistable framed sheaves.
Closed surfaces with bounds on their Willmore energy
Willmore energy conformal parametrization geometric measure theory
2010/12/14
The Willmore energy of a closed surface in Rn is the integral of its squared mean curvature, and is invariant under M¨obius transformations of Rn. We show that any torus in R3 with energy at most 8π &...