Infinitesimal Torelli theorem for surfaces with c12=3, χ=2, and the torsion group Z/3
Masaaki Murakami
Abstract
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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