Infinitesimal Torelli theorem for surfaces with c_1^2=3, χ=2, and the torsion group Z/3

Details Infinitesimal Torelli theorem for surfaces with c_1^2=3, χ=2, and the torsion group Z/3 Infinitesimal Torelli theorem for surfaces with c_1^2=3, χ=2, and the torsion group Z/3

2004-07-05

arxiv.org/abs/math/0407069v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

We prove the infinitesimal Torelli theorem for general minimal complex
surfaces X's with the first Chern number 3, the geometric genus 1, and the
irregularity 0 which have non-trivial 3-torsion divisors. We also show that the
coarse moduli space for surfaces with the invariants as above is a
14-dimensional unirational variety.

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