Deformations of nonsingular Poisson varieties and Poisson invertible sheaves
نویسندگان
چکیده
منابع مشابه
Poisson deformations of affine symplectic varieties II
Let Y be an affine symplectic variety of dimension 2n, and let π : X → Y be a crepant resolution. By the definition, there is a symplectic 2-form σ̄ on the smooth part Yreg ∼= π (Yreg), and it extends to a 2-form σ on X. Since π is crepant, σ is a symplectic 2-form on X. The symplectic structures on X and Y define Poisson structures on them in a natural manner. One can define a Poisson deformati...
متن کاملFlops and Poisson deformations of symplectic varieties Yoshinori Namikawa
In the remainder, we call such a variety a convex symplectic variety. A convex symplectic variety has been studied in [K-V], [Ka 1] and [G-K]. One of main difficulties we meet is the fact that tangent objects TX and T 1 Y are not finite dimensional, since Y may possibly have non-isolated singularities; hence the usual deformation theory does not work well. Instead, in [K-V], [G-K], they introdu...
متن کاملFlops and Poisson deformations of symplectic varieties Yoshinori
In the remainder, we call such a variety a convex symplectic variety. A convex symplectic variety has been studied in [K-V], [Ka 1] and [G-K]. One of main difficulties we meet is the fact that tangent objects TX and T 1 Y are not finite dimensional, since Y may possibly have non-isolated singularities; hence the usual deformation theory does not work well. Instead, in [K-V], [G-K], they introdu...
متن کامل5 Flops and Poisson deformations of symplectic varieties Yoshinori Namikawa
In the remainder, we call such a variety a convex symplectic variety. A convex symplectic variety has been studied in [K-V], [Ka 1] and [G-K]. One of main difficulties we meet is the fact that tangent objects TX and T 1 Y are not finite dimensional, since Y may possibly have non-isolated singularities; hence the usual deformation theory does not work well. Instead, in [K-V], [G-K], they introdu...
متن کاملPoisson deformations of affine symplectic varieties Yoshinori Namikawa
A symplectic variety X is a normal algebraic variety (defined over C) which admits an everywhere non-degenerate d-closed 2-form ω on the regular locus Xreg of X such that, for any resolution f : X̃ → X with f (Xreg) ∼= Xreg, the 2-form ω extends to a regular closed 2-form on X̃ (cf. [Be]). There is a natural Poisson structure { , } on X determined by ω. Then we can introduce the notion of a Poiss...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2020
ISSN: 2156-2261
DOI: 10.1215/21562261-2019-0042