Y. Matsumoto

activity

20122024

most citedGood Reduction of K3 Surfaces

31 citations · 89 across the 15 of their papers we have counts for

collaborators

15 papers

math.AG2024

Inseparable Kummer surfaces

Yuya Matsumoto

We introduce an inseparable version of Kummer surfaces. It is defined as a supersingular K3 surface in characteristic 2 with 16 smooth rational curves forming a certain configurati…

math.AG2023

Supersingular reduction of Kummer surfaces in residue characteristic $2$

Yuya Matsumoto

Given an abelian surface $A$ , defined over a discrete valuation field and having good reduction, does the attached Kummer surface $Km (A)$ also have good reduction? In this…

math.AG2021★ 2 cited

Torsors over the Rational Double Points in Characteristic $p$

Christian Liedtke, Gebhard Martin, Yuya Matsumoto

We study torsors under finite group schemes over the punctured spectrum of a singularity $x \in X$ in positive characteristic. We show that the Dieudonné module of the (loc,loc)-par…

math.AG2021★ 6 cited

Linearly Reductive Quotient Singularities

Christian Liedtke, Gebhard Martin, Yuya Matsumoto

We study isolated quotient singularities by finite and linearly reductive group schemes (lrq singularities for short) and show that they satisfy many, but not all, of the known pro…

math.AG2020★ 1 cited

Purely inseparable coverings of rational double points in positive characteristic

Yuya Matsumoto

We classify purely inseparable morphisms of degree $p$ between rational double points (RDPs) in characteristic $p > 0$ . Using such morphisms, we refine a result of Artin that any R…

math.AG2019★ 1 cited

Inseparable maps on $W_{n}$ -valued local cohomology groups of non-taut rational double point singularities and the height of K3 surfaces

Yuya Matsumoto

We consider rational double point singularities (RDPs) that are non-taut, which means that the isomorphism class is not uniquely determined from the dual graph of the minimal resol…

math.AG2018★ 5 cited

Canonical coverings of Enriques surfaces in characteristic $2$

Yuya Matsumoto

Let $Y ˉ$ be a normal surface that is the canonical $μ_{2}$ - or $α_{2}$ -covering of a classical or supersingular Enriques surface in characteristic $2$ . We determine all possible c…

math.AG2018★ 1 cited

$μ_{p}$ - and $α_{p}$ -actions on K3 surfaces in characteristic $p$

Yuya Matsumoto

We consider $μ_{p}$ - and $α_{p}$ -actions on RDP K3 surfaces (K3 surfaces with rational double point singularities allowed) in characteristic $p > 0$ . We study possible characteristics,…

math.AG2017★ 2 cited

On $μ_{n}$ -actions on K3 surfaces in positive characteristic

Yuya Matsumoto

In characteristic $0$ , symplectic automorphisms of K3 surfaces (i.e.\ automorphisms preserving the global $2$ -form) and non-symplectic ones behave differently. In this paper we con…

math.AG2017★ 2 cited

On automorphisms of Enriques surfaces and their entropy

Yuya Matsumoto, Hisanori Ohashi, Sławomir Rams

Consider an arbitrary automorphism of an Enriques surface with its lift to the covering K3 surface. We prove a bound of the order of the lift acting on the anti-invariant cohomolog…

math.AG2016★ 3 cited

Degeneration of K3 surfaces with non-symplectic automorphisms

Yuya Matsumoto

We prove that a K3 surface with an automorphism acting on the global $2$ -forms by a primitive $m$ -th root of unity, $m \neq = 1, 2, 3, 4, 6$ , does not degenerate (assuming the existence…

math.AG2016

Extendability of automorphisms of K3 surfaces

Yuya Matsumoto

A K3 surface $X$ over a $p$ -adic field $K$ is said to have good reduction if it admits a proper smooth model over the ring of integers of $K$ . Assuming this, we say that a subgroup…

math.AG2014★ 31 cited

Good Reduction of K3 Surfaces

Christian Liedtke, Yuya Matsumoto

Let $K$ be the field of fractions of a local Henselian DVR with perfect residue field. Assuming potential semi-stable reduction, we show that an unramified Galois-action on second…

math.AG2014★ 19 cited

Good reduction criterion for K3 surfaces

Yuya Matsumoto

We prove a Neron--Ogg--Shafarevich type criterion for good reduction of K3 surfaces, which states that a K3 surface over a complete discrete valuation field has potential good redu…

math.NT2012★ 16 cited

On good reduction of some K3 surfaces related to abelian surfaces

Yuya Matsumoto

The Neron--Ogg--Safarevic criterion for abelian varieties tells that whether an abelian variety has good reduction or not can be determined from the Galois action on its l-adic eta…

Inseparable Kummer surfaces

Supersingular reduction of Kummer surfaces in residue characteristic 2

Torsors over the Rational Double Points in Characteristic p

Linearly Reductive Quotient Singularities

Purely inseparable coverings of rational double points in positive characteristic

Inseparable maps on Wn​-valued local cohomology groups of non-taut rational double point singularities and the height of K3 surfaces

Canonical coverings of Enriques surfaces in characteristic 2

μp​- and αp​-actions on K3 surfaces in characteristic p

On μn​-actions on K3 surfaces in positive characteristic

On automorphisms of Enriques surfaces and their entropy

Degeneration of K3 surfaces with non-symplectic automorphisms

Extendability of automorphisms of K3 surfaces

Good Reduction of K3 Surfaces

Good reduction criterion for K3 surfaces

On good reduction of some K3 surfaces related to abelian surfaces

Supersingular reduction of Kummer surfaces in residue characteristic $2$

Torsors over the Rational Double Points in Characteristic $p$

Inseparable maps on $W_{n}$ -valued local cohomology groups of non-taut rational double point singularities and the height of K3 surfaces

Canonical coverings of Enriques surfaces in characteristic $2$

$μ_{p}$ - and $α_{p}$ -actions on K3 surfaces in characteristic $p$

On $μ_{n}$ -actions on K3 surfaces in positive characteristic