10 citations · 18 across the 16 of their papers we have counts for
16 papers
A note on simple singularities and families of weighted surfaces
Makiko Mase
We discuss properties of the Seifert form for simple singularities, and of the Picard lattices of families of weighted surfaces. We study a collection $\mathcal{M}_{(ρ,\,…
Mirror constructions for K3 surfaces from bimodal singularities
Makiko Mase, Ursula Whitcher
We study lattice polarizations of five exceptional pairs of families of K3 surfaces obtained via compactifications of strange dual pairs of bimodal singularities. We show that the…
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…
The integral monodromy of isolated quasihomogeneous singularities
Claus Hertling, Makiko Mase
The integral monodromy on the Milnor lattice of an isolated quasihomogeneous singularity is subject of an almost untouched conjecture of Orlik from 1972. We prove this conjecture f…
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…
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.
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.
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…
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…
Lattice duality for families of surfaces associated to transpose duality
Makiko Mase
The aim of this article is to show that the transpose-dual pairs in the sense of Ebeling-Ploog of singularities , , $(Q_{17},\, Z_{2,0})…
A mirror duality for families of surfaces associated to bimodular singularities
Makiko Mase
Ebeling and Ploog \cite{EbelingPloog} studied a duality of bimodular singularities which is part of the Berglund--Hbsch mirror symmetry. Mase and Ueda \cite{…
Polytope duality for families of surfaces associated to transpose duality
Makiko Mase
We consider whether or not transpose-dual pairs, which is a Berglund--Hbsch mirror studied by Ebeling and Ploog \cite{EbelingPloog}, extend to a polytope dua…
Classifications of elliptic fibrations of a singular K3 surface
Marie José Bertin, Alice Garbagnati, Ruthi Hortsch +4
We classify, up to automorphisms, the elliptic fibrations on the singular K3 surface whose transcendental lattice is isometric to .
A note on bimodal singularities and mirror symmetry
Makiko Mase, Kazushi Ueda
We discuss the relation between transposition mirror symmetry of Berlund and Hübsch for bimodal singularities and polar duality of Batyrev for associated toric K3 hypersurfaces. We…
A note on exceptional unimodal singularities and K3 surfaces
Masanori Kobayashi, Makiko Mase, Kazushi Ueda
This is a short note on the relation between the graded stable derived categories of 14 exceptional unimodal singularities and the derived category of K3 surfaces obtained as compa…
Isomorphism among families of weighted K3 hypersurfaces
Masanori Kobayashi, Makiko Mase
Some of the 95 families of weighted K3 hypersurfaces have been known to have the isometric lattice polarizations. It is shown that weighted K3 hypersurfaces in such families are to…