Divisor class group of Hankel determinantal rings

Abstract: Hankel determinantal rings arise as homogeneous coordinate rings of higher order secant varieties of rational normal curves. In any characteristic we give an explicit description of divisor class groups of these rings and as a consequence we show that they are $\mathbb{Q}$-Gorenstein rings. It has been shown that each divisor class group element is the class of a maximal Cohen Macaulay module.

Based on a joint work with Aldo Conca, Anurag K. Singh and Matteo Varbaro.

algebraic geometry

Audience: researchers in the topic

Brazilian algebraic geometry seminar

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