# Some special curves of genus 5

Acta Arithmetica (1997)

- Volume: 79, Issue: 1, page 41-51
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topAndrew Bremner. "Some special curves of genus 5." Acta Arithmetica 79.1 (1997): 41-51. <http://eudml.org/doc/206963>.

@article{AndrewBremner1997,

author = {Andrew Bremner},

journal = {Acta Arithmetica},

keywords = {genus 5; irreducible curve; diagonal quadratic forms; points defined over an algebraic number field of odd degree; effective rational divisor of degree 5},

language = {eng},

number = {1},

pages = {41-51},

title = {Some special curves of genus 5},

url = {http://eudml.org/doc/206963},

volume = {79},

year = {1997},

}

TY - JOUR

AU - Andrew Bremner

TI - Some special curves of genus 5

JO - Acta Arithmetica

PY - 1997

VL - 79

IS - 1

SP - 41

EP - 51

LA - eng

KW - genus 5; irreducible curve; diagonal quadratic forms; points defined over an algebraic number field of odd degree; effective rational divisor of degree 5

UR - http://eudml.org/doc/206963

ER -

## References

top- [1] A. Bremner, Some quartic curves with no points in any cubic field, Proc. London Math. Soc. (3) 52 (1986), 193-214. Zbl0602.14020
- [2] J. W. S. Cassels, The arithmetic of certain quartic curves, Proc. Roy. Soc. Edinburgh 100A (1985), 201-218. Zbl0589.14029
- [3] J. W. S. Cassels, Lectures on Elliptic Curves, Cambridge University Press, 1991.
- [4] W. Fulton, Intersection Theory, Springer, New York, 1984. Zbl0541.14005

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.