Abstract
We prove the infinitesimal Torelli theorem for general minimal complex surfaces X's with the first Chern number 3, geometric genus 1, and 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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Murakami, M. Infinitesimal Torelli theorem for surfaces of general type with certain invariants. manuscripta math. 118, 151–160 (2005). https://doi.org/10.1007/s00229-005-0566-1
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DOI: https://doi.org/10.1007/s00229-005-0566-1