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20002005
most citedOn deformations of Q-factorial symplectic varieties

12 citations · 26 across the 5 of their papers we have counts for

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10 papers · 1 filter

math.AG200512 cited

On deformations of Q-factorial symplectic varieties

Yoshinori Namikawa

We shall prove that any small deformation of a Q-factorial projective symplectic variety with terminal singularities is locally rigid; in other words, it preserves the singularity.…

math.AG200411 cited

Birational geometry of symplectic resolutions of nilpotent orbits II

Yoshinori Namikawa

In this paper we shall study symplectic resolutions of a nilpotent orbit closure of a complex simple Lie algebra \g. We shall introduce an equivalence relation in the set of parabo…

math.AG20041 cited

Birational Geometry of symplectic resolutions of nilpotent orbits

Yoshinori Namikawa

In this paper, we shall prove that any two (projective) symplectic resolutions of a nilpotent orbit closure in a classical simple Lie algebra are connected by a finite sequence of…

math.AG20032 cited

Uniqueness of crepant resolutions and symplectic singularities

Baohua Fu, Yoshinori Namikawa

We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4-dimenens…

math.AG2003

Mukai flops and derived categories II

Yoshinori Namikawa

This paper is a sequel to math.AG/0203287. A generalization of the Mukai flop has been studied by E. Markman. Here we call it a stratified Mukai flop. In this paper, we observe tha…

math.AG2002

Mukai flops and derived categories

Yoshinori Namikawa

In this note, we shall prove that two smooth projective varieties of dim 2n connected by a Mukai flop have equivalent bounded derived categories. More precisely, let $ϕ: X - - \to…