3 papers
math.GT2020
Lefschetz fibrations with arbitrary signature
R. Inanc Baykur, Noriyuki Hamada
We develop techniques to construct explicit symplectic Lefschetz fibrations over the 2-sphere with any prescribed signature and any spin type when the signature is divisible by 16.…
math.GT2020
Classification of genus- holomorphic Lefschetz pencils
Noriyuki Hamada, Kenta Hayano
In this paper, we classify relatively minimal genus- holomorphic Lefschetz pencils up to smooth isomorphism. We first show that such a pencil is isomorphic to either the pencil…
math.GT2016
Topology of holomorphic Lefschetz pencils on the four-torus
Noriyuki Hamada, Kenta Hayano
In this paper we discuss topological properties of holomorphic Lefschetz pencils on the four-torus. Relying on the theory of moduli spaces of polarized abelian surfaces, we first p…