147,476 research outputs found
Rank Two Sheaves on K3 Surfaces: A Special Construction
Let X be a K3 surface of degree 8 in P^5 with hyperplane section H. We
associate to it another K3 surface M which is a double cover of P^2 ramified on
a sextic curve C. In the generic case when X is smooth and a complete
intersection of three quadrics, there is a natural correspondence between M and
the moduli space M' of rank two vector bundles on X with Chern classes c_1=H
and c_2=4. We build on previous work of Mukai and others, giving conditions and
examples where M' is fine, compact, non-empty; and birational or isomorphic to
M. We also present an explicit calculation of the Fourier-Mukai transform when
X contains a line and has Picard number two.Comment: Fixed various minor errors and reworked some argument
Examples of rank two aCM bundles on smooth quartic surfaces in
Let be a smooth quartic surface and let
. In the
present paper we classify locally free sheaves of rank on
such that , and
for . We also deal with
their stability.Comment: 22 pages. Exposition improve
Two-dimensional moduli spaces of vector bundles over Kodaira surfaces
We prove that any two-dimensional moduli space of stable 2-vector bundles, in
the non-filtrable range, on a primary Kodaira surface is a primary Kodaira
surface. If a universal bundle exists, then the two surfaces are homeomorphic
up to unramified covers.Comment: Advances in Mathematics, accepte
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