4 papers
Notes on hyperelliptic fibrations of genus 3, II
Masaaki Murakami
This is the part II of the series under the same title. In part I, using the approach developed by Catanese--Pignatelli arXiv:math/0503294, we gave a structure theorem for hyperell…
Notes on hyperelliptic fibrations of genus 3, I
Masaaki Murakami
We shall study the structure of hyperelliptic fibrations of genus 3, from the view point given by Catanese and Pignatelli in arXiv:math/0503294. In this part I, we shall give a str…
Remarks on surfaces with having non-trivial 2-torsion
Masaaki Murakami
We shall show that any complex minimal surface of general type with c_1^2 = 2χ-1 having non-trivial 2-torsion divisors, where c_1^2 and χare the first Chern number of a surface and…
Infinitesimal Torelli theorem for surfaces with c_1^2=3, χ=2, and the torsion group Z/3
Masaaki Murakami
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-triv…