Maximal Mumford curves from planar graphs

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Abstract

A curve of genus g is maximal Mumford (MM) if it has g +1 ovals and g tropical cycles. We construct full-dimensional families of MM curves in the Hilbert scheme of canonical curves. This rests on first-order deformations of graph curves whose graph is planar.

Details

Original languageEnglish
Pages (from-to)1689-1719
Number of pages31
JournalPure and applied mathematics quarterly : PAMQ
Volume21
Issue number4
Publication statusPublished - 1 Apr 2025
Peer-reviewedYes

External IDs

Scopus 105002612759

Keywords

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