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- Counting points on geometrically hyperelliptic curves of genus three
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Mathematics and Statistics
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- Home
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Student life & resources
Postgraduate research
- Info for new students
- Current research students
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- Postgraduate events
- Postgraduate student awards
- Michael Tallis PhD Research Travel Award
- Information about research theses
- Past research students
- Resources
- Entry requirements
- PhD projects
- Obtaining funding
- Application & fee information
Student services
- Help for postgraduate students
- Thesis guidelines
- School assessment policies
- Computing information
- Mathematics Drop-in Centre
- Consultation
- Statistics Consultation Service
- Academic advice
- Enrolment variation
- Changing tutorials
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- Application form for existing casual tutors
- ARC grants Head of School sign off
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Abstract:
Let C/QC/Q be a curve of genus 3, given as a double cover of a plane conic. Such a curve is hyperelliptic over the algebraic closure of QQ, but may not have a hyperelliptic model of the usual form over QQ. For a prime pp of good reduction, let CpCp be the reduction of CC modulo pp. We discuss an algorithm that counts points on the curves CpCp simultaneously at all good pp up to a prescribed bound NN. We briefly report on our implementation and compare its performance to previous algorithms for the ordinary hyperelliptic case.
Joint work with David Harvey and Andrew Sutherland.
Speaker
Maike Massierer
Research Area
Pure Maths Seminar
Affiliation
University of New South Wales
Date
Tue, 25/10/2016 - 12:00pm to 1:00pm
Venue
RC-4082, The Red Centre, UNSW