C. Seaton

activity

20032024

most citedThe Hilbert series of a linear symplectic circle quotient

15 citations · 183 across the 38 of their papers we have counts for

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3 papers · 1 filter

math.AG2024

The symplectic form associated to a singular Poisson algebra

Hans-Christian Herbig, William Osnayder Clavijo Esquivel, Christopher Seaton

Given an affine Poisson algebra, that is singular one may ask whether there is an associated symplectic form. In the smooth case the answer is obvious: for the symplectic form to e…

math.AG2021★ 2 cited

When does the zero fiber of the moment map have rational singularities?

Hans-Christian Herbig, Gerald W. Schwarz, Christopher Seaton

Let $G$ be a complex reductive group and $V$ a $G$ -module. There is a natural moment mapping $μ : V \oplus V^{*} \to g^{*}$ and we denote $μ^{- 1} (0)$ (the shell) by $N_{V}$ .…

math.AG2021★ 4 cited

Higher Koszul brackets on the cotangent complex

Hans-Christian Herbig, Daniel Herden, Christopher Seaton

Let $n \geq 1$ and $A$ be a commutative algebra of the form $k [x_{1}, x_{2}, \dots, x_{n}] / I$ where $k$ is a field of characteristic $0$ and $I\subseteq \boldsymbol k…