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

Masaaki Murakami

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

Masaaki Murakami

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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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Masaaki Murakami. 2004-07-05. Infinitesimal Torelli theorem for surfaces with c_1^2=3, χ=2, and the torsion group Z/3. https://arxiv.org/abs/math/0407069

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