scholarly journals Two-cover descent on plane quartics with rational bitangents

2020 ◽  
Vol 4 (1) ◽  
pp. 73-89
Author(s):  
Nils Bruin ◽  
Daniel Lewis
Keyword(s):  
Plane Quartics

scholarly journals Plane quartics: the universal matrix of bitangents

2017 ◽  
Vol 217 (1) ◽  
pp. 111-138 ◽  
Author(s):  
Francesco Dalla Piazza ◽  
Alessio Fiorentino ◽  
Riccardo Salvati Manni
Keyword(s):  
Plane Quartics

scholarly journals On plane quartics with a Galois invariant Cayley octad

2018 ◽  
Vol 5 (4) ◽  
pp. 1156-1172 ◽  
Author(s):  
Andreas-Stephan Elsenhans ◽  
Jörg Jahnel
Keyword(s):  
Plane Quartics

scholarly journals Compactifications of the moduli space of plane quartics and two lines

2018 ◽  
Vol 4 (3) ◽  
pp. 1000-1034 ◽  
Author(s):  
Patricio Gallardo ◽  
Jesus Martinez-Garcia ◽  
Zheng Zhang
Keyword(s):  
Moduli Space ◽  
Plane Quartics

scholarly journals Some new observation on invariant theory of plane quartics

2000 ◽  
Vol 4 (1) ◽  
pp. 227-234
Author(s):  
Tetsuji Shioda
Keyword(s):  
Invariant Theory ◽  
Plane Quartics

scholarly journals A remark on the study of special plane quartics

1924 ◽  
Vol 053 (1) ◽  
pp. 27-31
Author(s):  
Bohumil Bydžovský
Keyword(s):  
Plane Quartics ◽  
Special Plane

Combinatorics associated with inflections and bitangents of plane quartics

2013 ◽  
Vol 77 (4) ◽  
pp. 675-695
Author(s):  
M Kh Gizatullin
Keyword(s):  
Plane Quartics

scholarly journals Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields

2014 ◽  
Vol 17 (A) ◽  
pp. 128-147 ◽  
Author(s):  
Reynald Lercier ◽  
Christophe Ritzenthaler ◽  
Florent Rovetta ◽  
Jeroen Sijsling
Keyword(s):  
Finite Fields ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Moduli Space Of Curves ◽  
Isomorphism Classes ◽  
Families Of Curves ◽  
Plane Quartics ◽  
Smooth Plane

AbstractWe study new families of curves that are suitable for efficiently parametrizing their moduli spaces. We explicitly construct such families for smooth plane quartics in order to determine unique representatives for the isomorphism classes of smooth plane quartics over finite fields. In this way, we can visualize the distributions of their traces of Frobenius. This leads to new observations on fluctuations with respect to the limiting symmetry imposed by the theory of Katz and Sarnak.

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