Year: 2013
Type: preprint
Abstract: A recent result shows that a general smooth plane quartic can be recovered from its 24 inflection lines and a single inflection point. Nevertheless, the question whether or not a smooth plane curve of degree at least 4 is determined by its inflection lines is still open. Over a field of characteristic 0, we show that it is possible to reconstruct any smooth plane quartic with at least 8 hyperinflection points by its inflection lines. Our methods apply also in positive characteristic, where we show a similar result, with two exceptions in characteristic 13.
Source: arXiv (Cornell University)
Authors: Pacini, Marco, Testa, Damiano
Institutions: Universidade Federal Fluminense, University of Warwick
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G2790706675
OpenAlex ID: W2953362279