BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrew Obus (Baruch College) DTSTART:20251208T210000Z DTEND:20251208T220000Z DTSTAMP:20260423T040547Z UID:NTBU/38 DESCRIPTION:Title: Re gular models of superelliptic curves via Mac Lane valuations\nby Andre w Obus (Baruch College) as part of Boston University Number Theory Seminar \n\nLecture held in CDS Room 548 in Boston University.\n\nAbstract\nLet $X \\rightarrow \\mathbb{P}^1$ be a $\\mathbb{Z}/n$-branched cover over a co mplete discretely valued field $K$\, where $n$ does not divide the residue characteristic of $K$. We explicitly construct the minimal regular norma l crossings model of $X$ over the valuation ring of $K$. By “explicitly ”\, we mean that we construct a normal model of $\\mathbb{P}^1$ whose no rmalization in $K(X)$ is the desired regular model. The normal model of $ \\mathbb{P}^1$ is fully encoded as a basket of finitely many discrete valu ations on the rational function field $K(\\mathbb{P}^1)$\, each of which i s given using Mac Lane’s 1936 notation involving finitely many polynomia ls and rational numbers. This is joint work with Padmavathi Srinivasan.\n LOCATION:https://researchseminars.org/talk/NTBU/38/ END:VEVENT END:VCALENDAR