activity
20192021
most citedPolytope duality for families of surfaces and coupling

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2021

The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities

Claus Hertling, Makiko Mase

A paper of the first author and Zilke proposed seven combinatorial problems around formulas for the characteristic polynomial and the exponents of an isolated quasihomogeneous sing…

math.AT2020

The integral monodromy of the cycle type singularities

Claus Hertling, Makiko Mase

The middle homology of the Milnor fiber of a quasihomogeneous polynomial with an isolated singularity is a -lattice and comes equipped with an automorphism of finite o…

math.AG2019

Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution

Makiko Mase

We study a lattice duality among families of surfaces associated to coupling pairs that admit polytope duality with trivial toric contribution.

math.AG20191 cited

Polytope duality for families of surfaces and coupling

Makiko Mase

We study a relation between coupling introduced by Ebeling and the polytope duality among families of surfaces.

math.AG2019

Polytope duality for families of surfaces associated to singularities and

Makiko Mase

There are strange dual pairs of bimodal singularities that are not assigned an invertible projectivisation in EbelingPloog. We study families of surfaces associated to such pa…

math.AG2019

Families of K3 surfaces and curves of (2,3)-torus type

Makiko Mase

We study families of surfaces obtained by double covering of the projective plane branching along curves of -torus type. In the first part, we study the Picard lattices…