Michele Bolognesi

collaborators

3 papers

math.AG2025

The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality

Thomas Baier, Michele Bolognesi, Johan Martens +1

We construct a "Hitchin-type" connection on bundles of non-abelian theta functions on higher-rank Prym varieties, for unramified double covers of curves. We formulate a version of…

math.AG2025

Abelianization of the $SL_{2}$ Hitchin connection at level four

Thomas Baier, Michele Bolognesi, Johan Martens +1

We prove that the Hitchin connection for $SL_{2}$ at level four can be understood in terms of the Mumford-Welters connections on bundles of abelian theta functions for…

math.AG2025

Double EPW sextics and the Voisin filtration on zero-cycles

Michele Bolognesi, Robert Laterveer

Let $X$ be a double EPW sextic, and $I^^{1}$ its anti-symplectic involution. We relate the $I^^{1}$ -anti-invariant part of the Chow group of zero-cycles of $X$ with Voisin's rational orbit…

The Prym-Hitchin Connection and Anti-Invariant Level-Rank Duality

Abelianization of the SL2​ Hitchin connection at level four

Double EPW sextics and the Voisin filtration on zero-cycles

Abelianization of the $SL_{2}$ Hitchin connection at level four