Riemann surfaces of genus 1 + q2 with 3q2 automorphisms
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DOI: 10.1016/j.jalgebra.2021.09.001
Abstract: In this article we classify compact Riemann surfaces of genus $1+q^2$ with a group of automorphisms of order $3q^2,$ where $q$ is a prime number. We also study decompositions of the corresponding Jacobian varieties. read more here.
Keywords: 3q2 automorphisms; genus 3q2; surfaces genus; riemann surfaces ... See more keywords
The Kitaev honeycomb model on surfaces of genus g ≥ 2
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DOI: 10.1088/1367-2630/aabb95
Abstract: We present a construction of the Kitaev honeycomb lattice model on an arbitrary higher genus surface. We first generalize the exact solution of the model based on the Jordan–Wigner fermionization to a surface with genus… read more here.
Keywords: kitaev honeycomb; model surfaces; model; surfaces genus ... See more keywords
On Polarized K3 Surfaces of Genus 33
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DOI: 10.4153/cmb-2016-049-x
Abstract: Abstract We prove that the moduli space of smooth primitively polarized $\text{K3}$ surfaces of genus 33 is unirational. read more here.
Keywords: surfaces genus; polarized surfaces;