Publisher： Cambridge University Press
E-ISSN： 1570-5846|148|1|209-226
ISSN： 0010-437x
Source： Compositio Mathematica, Vol.148, Iss.1, 2012-01, pp. : 209-226
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Abstract
We prove that on separated algebraic surfaces every coherent sheaf is a quotient of a locally free sheaf. This class contains many schemes that are neither normal, reduced, quasiprojective nor embeddable into toric varieties. Our methods extend to arbitrary two-dimensional schemes that are proper over an excellent ring.
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