3 problems

Let $A$ be a commutative associative algebra over a field $k$ of characteristic zero, let $V\subset A$ satisfy that multiplication identifies $\operatorname{Sym}^g V$ with $A$, and…

Let $C$ be the underlying curve, let $g$ be a positive integer, and define the generating-series kernel … Let $X=\overline{C}^{2g+1}$, let $p=(v_{i_0},\ldots,v_{i_0})$, let…

Let $n$ be a positive integer, let $x_1,ldots,x_{n+2}$ and $z_1,ldots,z_n$ be parameters, and let $K$ be the kernel defined in Example 2.4.1. The variables…