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On certain curves of genus three in characteristic two
(Springer, 2008-03-01)
We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of ...
On certain curves of genus three in characteristic two
(Springer, 2008-03-01)
We study curves of genus 3 over algebraically closed fields of characteristic 2 with the canonical theta characteristic totally supported in one point. We compute the moduli dimension of such curves and focus on some of ...
On certain curves of genus three in characteristic two
(Springer, 2014)
Eventually minimal curves
(Springer, 2005-04-01)
A curve defined over a finite field is maximal or minimal according to whether the number of rational points attains the upper or the lower bound in Hasse-Weil's theorem, respectively. In the study of maximal curves a ...
Eventually minimal curves
(Springer, 2005-04-01)
A curve defined over a finite field is maximal or minimal according to whether the number of rational points attains the upper or the lower bound in Hasse-Weil's theorem, respectively. In the study of maximal curves a ...
About the Fricke-Macbeath curve
(2018)
A closed Riemann surface of genus g >= 2 is called a Hurwitz curve if its group of conformal automorphisms has order 84(g - 1). In 1895, Wiman noticed that there is no Hurwitz curve of genus g = 2, 4, 5, 6 and, up to ...
Eventually minimal curves
(Springer, 2014)
Subcanonical curves: on the loci of odd Weierstrass semigroups and the dimension of the loci for certain families of semigroups
(Universidade Federal de Minas GeraisUFMG, 2017-09-15)
A celebrated result of KontsevichZorich ensures that the moduli space (...) of pointed curves of genus g whose marked point is subcanonical has three irreducible components. In this work we present an explicit method to ...