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Applications Of Curves Over Finite Fields by Ams Ims Siam Joint Summer Research Conference On Applications Of Curves Over Finite Fields (1997 University Of Washington)
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1Parametrizing The Moduli Space Of Curves And Applications To Smooth Plane Quartics Over Finite Fields
By Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta and Jeroen Sijsling
We 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.
“Parametrizing The Moduli Space Of Curves And Applications To Smooth Plane Quartics Over Finite Fields” Metadata:
- Title: ➤ Parametrizing The Moduli Space Of Curves And Applications To Smooth Plane Quartics Over Finite Fields
- Authors: Reynald LercierChristophe RitzenthalerFlorent RovettaJeroen Sijsling
“Parametrizing The Moduli Space Of Curves And Applications To Smooth Plane Quartics Over Finite Fields” Subjects and Themes:
- Subjects: Mathematics - Algebraic Geometry
Edition Identifiers:
- Internet Archive ID: arxiv-1403.0562
Downloads Information:
The book is available for download in "texts" format, the size of the file-s is: 0.56 Mbs, the file-s for this book were downloaded 22 times, the file-s went public at Sat Jun 30 2018.
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