Remarks on surfaces with $c_1^2 = 2χ-1$ having non-trivial 2-torsion

Details Remarks on surfaces with $c_1^2 = 2χ-1$ having non-trivial 2-torsion Remarks on surfaces with $c_1^2 = 2χ-1$ having non-trivial 2-torsion

2007-01-24

arxiv.org/abs/math/0701720v1

Mathematics

Algebraic Geometry

Scientific paper

We shall show that any complex minimal surface of general type with c_1^2 =
2\chi -1 having non-trivial 2-torsion divisors, where c_1^2 and \chi are the
first Chern number and the Euler characteristic of the structure sheaf
respectively, has the Euler characteristic \chi not exceeding 4. We shall also
give a complete description for the surfaces of the case \chi =4.

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