Extremal higher codimension cycles of the space of complete conics

César Lozano Huerta

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arXiv · 1601.07143

Extremal higher codimension cycles of the space of complete conics

César Lozano Huerta

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Abstract

Let $M$ denote the space of complete conics. We compute the cone of effective and numerically effective $k$-cycles of $M$, $\mathrm{Eff}_k(M)$ and $\mathrm{Nef}_k(M)$, respectively. In addition, we compute the Białynicki-Birula cell-decomposition of $M$ with respect to a $\mathbb{C}^*$-action and compare the cone generated by the closure of these cells to the cones $\mathrm{Eff}_k(M)$ and $\mathrm{Nef}_k(M)$.

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César Lozano Huerta. 2016-01-26. Extremal higher codimension cycles of the space of complete conics. https://arxiv.org/abs/1601.07143

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