3 problems

Let $C$ be the trigonal genus-three curve defined by $f(x,y)=0$, with coefficients $\mu_1,\mu_2,\mu_3,\mu_4,\mu_5,\mu_6,\mu_8,\mu_9,\mu_{12}$. For variables $x$ and $y$, write…

Let $g$ be even, let $B$ be a base curve not entirely contained in the Maroni divisor, and let $X\to B$ be a family whose singular members belong only to…

A dessin d'enfant is a combinatorial object associated with a trigonal curve; it is maximal when it has one singular fiber in each region and is connected. Deformation conjecture.…