9 problems

Let $M$ be the Rapoport–Zink space of strict $\pi$-divisible $O_F$-modules with quasi-isogeny to $\mathbb{X}$, and let $Z_1,Z_2\to M$ be the closed immersions associated with the m…

Let $\mathcal{X}$ be a suitable regular integral model of the relevant orthogonal or unitary Shimura variety, let $n=\dim\mathcal{X}$, and let $\mathcal{Z}(m_i)$ be integral models…

Let $F$ be the base local field, let $K/K_3$ be unramified, and let … be embeddings such that $(\Phi_1,\Phi_2)$ is a regular semisimple pair and $(\Phi_0,\Phi_3)$ is regular semisi…

Let $x_1,\dots,x_n,y_1,\dots,y_n$ be a basis of the hermitian space ${\mathbb V}$, and let $\mathbf{x}=(x_1,\dots,x_n)$ and $\mathbf{y}=(y_1,\dots,y_n)$. Define … Let…

Let $0\leq h\leq 2n$, and let $x_1,\dots,x_{2n-h},y_1,\dots,y_h\in {\mathbb V}$ be the special homomorphisms defining cycles ${\mathcal Z}(x_i)$ and ${\mathcal Y}(y_j)$. Let $B$ be…

Let $x_1,\dots,x_n\in {\mathbb V}$, where ${\mathbb V}$ is the hermitian space of special homomorphisms, and let $h$ be its hermitian form. Put … The special cycles…

Let $F$ be a real quadratic field, let $K=F(\sqrt{\Delta})$ be a quartic non-biquadratic CM field, and let $\mathcal M$ be the moduli stack of principally polarized abelian surface…

Let $d$ be the dimension parameter used in the paper, let $f\in H_{1-d,\bar\rho_L}$, and let $\hat{\mathcal{Z}}(f)$ and $\mathcal{Z}(W)$ be the associated arithmetic divisor and cy…

Let $L$ be a lattice with discriminant group $L'/L$, let $\bar\rho_L$ be its associated representation, and let $\mathcal{X}_K$ be a regular projective flat integral model over…