In this paper, we study the behavior at infinity of t̄ via the theory of mixed Hodge structures, especially the limit Hodge structures of Schmid and Steenbrink, extending investigations of Carlson, Cattani, and Kaplan.
A procedure for studying divisors on the moduli space of curves of genus [italic]g is presented. We study the divisor defined as the closure of the set of all points corresponding to curves possessing exceptional Weierstrass points of a certain type. Its class is expressed as a …
Algebraic Curves and Finite Fields: Cryptography and Other Applications
by Bassa, Alp, Guilley, Sylvain, Korchmáros, Gábor, Pries, Rachel, Pott, Alexander, Achter, Jeffrey D., Beelen, Peter, Cheon, Jung Hee, Claude, Carlet, Giulietti, Massimo, Helleseth, Tor, Kim, Taechan, Nguyen, Nhut, Pausinger, Florian, Schmidt, Kai-Uwe, Song, Yongsoo, Steinfeld, Ron, Topuzoğlu, Alev, Villa-Salvador, Gabriel D., Zhou, Yue
fromRadon series on computational and applied mathematics
This bookcollects the results of the workshops on Applications of Algebraic CurvesandApplications of Finite Fieldsat the RICAMin 2013. These workshopsbrought together the most prominet researchers in the area of finite fields and their applications around the world, addressing o…
"This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbi…
"Moduli problems in algebraic geometry date back to Riemann's famous count of the 3g - 3 parameters needed to determine a curve of genus g. In this book, Zariski studies the moduli space of curves of the same equisingularity class."--Jacket.
