plane quartics
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scholarly journals Reduction type of smooth plane quartics

2021 ◽  
Vol 15 (6) ◽  
pp. 1429-1468
Author(s):  
Reynald Lercier ◽  
Qing Liu ◽  
Elisa Lorenzo García ◽  
Christophe Ritzenthaler
Keyword(s):  
Plane Quartics ◽  
Smooth Plane

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 The local-global property for bitangents of plane quartics

JSIAM Letters ◽  
2020 ◽  
Vol 12 (0) ◽  
pp. 41-44
Author(s):  
Yasuhiro Ishitsuka ◽  
Tetsushi Ito ◽  
Tatsuya Ohshita ◽  
Takashi Taniguchi ◽  
Yukihiro Uchida
Keyword(s):  
Global Property ◽  
Plane Quartics

scholarly journals Plane quartics with a Galois-invariant Steiner hexad

2019 ◽  
Vol 15 (05) ◽  
pp. 1075-1109 ◽  
Author(s):  
Andreas-Stephan Elsenhans ◽  
Jörg Jahnel
Keyword(s):  
Del Pezzo Surfaces ◽  
Inverse Galois Problem ◽  
Plane Quartics ◽  
Del Pezzo

We describe a construction of plane quartics with prescribed Galois operation on the 28 bitangents, in the particular case of a Galois-invariant Steiner hexad. As an application, we solve the inverse Galois problem for degree two del Pezzo surfaces in the corresponding particular case.

scholarly journals Reconstructing Plane Quartics from Their Invariants

2018 ◽  
Vol 63 (1) ◽  
pp. 73-113 ◽  
Author(s):  
Reynald Lercier ◽  
Christophe Ritzenthaler ◽  
Jeroen Sijsling
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 Reconstructing general plane quartics from their inflection lines

2018 ◽  
Vol 372 (1) ◽  
pp. 705-732
Author(s):  
Marco Pacini ◽  
Damiano Testa
Keyword(s):  
Plane Quartics ◽  
General Plane

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 On the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics

2018 ◽  
Vol 16 (1) ◽  
pp. 46-62
Author(s):  
Oleksandr Iena
Keyword(s):  
Parameter Space ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Blow Up ◽  
Projective Bundle ◽  
Blow Down ◽  
Plane Quartics ◽  
Common Parameter

AbstractA parametrization of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Drézet and Maican, provide a common parameter space for these loci, and show that the Simpson moduli space M = M4m ± 1(ℙ2) is a blow-down of a blow-up of a projective bundle over a smooth moduli space of Kronecker modules. Two different proofs of this statement are given.

scholarly journals Plane quartics over $\mathbb {Q}$ with complex multiplication

2018 ◽  
Vol 185 (2) ◽  
pp. 127-156 ◽  
Author(s):  
Pınar Kılıçer ◽  
Hugo Labrande ◽  
Reynald Lercier ◽  
Christophe Ritzenthaler ◽  
Jeroen Sijsling ◽  
...  
Keyword(s):  
Complex Multiplication ◽  
Plane Quartics
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