The resolution property of algebraic surfaces

Details The resolution property of algebraic surfaces The resolution property of algebraic surfaces

2010-01-13

arxiv.org/abs/1001.2206v2

Mathematics

Algebraic Geometry

19 pages

Scientific paper

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 or embeddable into toric varieties.
Our methods extend to arbitrary $2$-dimensional schemes that are proper over a
noetherian ring.

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