4 problems

Let ${\mathcal{F}}l(\mathbb C^n)$ be the complete flag variety, and let $\operatorname{reg}(\iota_*{\mathcal{O}}_{{\mathcal{F}}l(\mathbb C^n)})$ denote the multigraded regularity r…

Let ${\mathcal{F}}l(\mathbb C^n)$ be the complete flag variety, and let $\operatorname{reg}(\iota_*{\mathcal O}_{{\mathcal{F}}l(\mathbb C^n)})$ be its multigraded regularity region…

Let ${\mathcal{F}}l(\mathbb C^n)$ be the complete flag variety, and let $\operatorname{reg}(\iota_*{\mathcal{O}}_{{\mathcal{F}}l(\mathbb C^n)})$ be its multigraded regularity regio…

Let $X=\mathbb{P}^m\times\mathbb{P}^n$ and let $J(Z)$ be the ideal associated with a configuration $Z\in X^r$, with $U\subset X^r$ the open subset from the cited lemma. For…