Counting the number of trigonal curves of genus 5 over finite fields
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AbstractThe trigonal curves of genus 5 can be represented by projective plane quintics that have one singularity of delta invariant one. Combining this with a partial sieve method for plane curves we count the number of such curves over any finite field. The main application is that this gives the motivic Euler characteristic of the moduli space of trigonal curves of genus 5.
2019 ◽
Vol 62
(02)
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pp. 223-230
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2012 ◽
Vol 55
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pp. 418-423
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2013 ◽
Vol 12
(3)
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pp. 651-676
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2003 ◽
Vol 55
(2)
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pp. 225-246
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2020 ◽
Vol 31
(03)
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pp. 411-419
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2016 ◽
Vol 12
(06)
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pp. 1519-1528