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2020•arXiv (Cornell University)Open access

Stable cohomology of the universal degree $d$ hypersurface in $\mathbb{P}^n$

Ishan Banerjee

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Abstract

Let $U_{d,n}^*$ be the universal degree $d$ hypersurface in $\mathbb{P}^n$. In this paper we compute the stable (with respect to $d$) cohomology of $U_{d,n}^*$ and give a geometric description of the stable classes. This builds on work of Tommasi and Das .

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What this paper is about

Let $U_{d,n}^*$ be the universal degree $d$ hypersurface in $\mathbb{P}^n$. In this paper we compute the stable (with respect to $d$) cohomology of $U_{d,n}^*$ and give a geometric description of the stable classes. This builds on work of Tommasi and Das .

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Available abstract

Let $U_{d,n}^*$ be the universal degree $d$ hypersurface in $\mathbb{P}^n$. In this paper we compute the stable (with respect to $d$) cohomology of $U_{d,n}^*$ and give a geometric description of the stable classes. This builds on work of Tommasi and Das .

Key concepts: Hypersurface, Cohomology, Degree (music), Mathematics, Pure mathematics, Combinatorics, Physics, Acoustics

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