Robert E. Kooij's Books

In the case where the norms are induced by metrics on the fibres of ${\mathcal L}$, we establish the functoriality of the sectional capacity under base change, pullbacks by finite surjective morphisms, and products. We study the continuity of $S Gamma(\overline{\mathcal L})$ under variation of the metric and line bundle, and we apply this to show that the notion of $v$-adic sets in $X(\mathbb C v)$ of capacity $0$ is well-defined. Finally, we show that sectional capacities for arbitrary norms can be well-approximated using objects of finite type.

Book's by Robert E. Kooij

Structurally Stable Quadratic Vector Fields

Structurally Stable Quadratic Vector Fields

Existence of the Sectional Capacity

Existence of the Sectional Capacity

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