KoszulDivisorOnPic14M8 Construction of random curves of degree 14 and genus 8. In this package the unirationality parametrization of Pic14(M8) due to Mukai is implemented. The main references are [Mu] S. Mukai, Curves, K3 surfaces and Fano 3-folds of genus ≤10. Algebraic geometry and commutative algebra, Vol. I, 357-377, Kinokuniya, Tokyo, 1988. [Ve] A. Verra, The unirationality of the moduli spaces of curves of genus 14 or lower. Compos. Math. 141 (2005), no. 6, 1425-1444. The main purpose of this package is to establish the reduciblity of the Koszul divisor as claimed in Chiodo,Eisenbud,Farkas,Schreyer [2012].

References in zbMATH (referenced in 22 articles )

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  1. Farkas, Gavril; Verra, Alessandro: The universal $K3$ surface of genus 14 via cubic fourfolds (2018)
  2. Aprodu, Marian; Farkas, Gavril; Ortega, Angela: Minimal resolutions, Chow forms and Ulrich bundles on $K3$ surfaces (2017)
  3. Galeotti, Mattia: Singularities of moduli of curves with a universal root (2017)
  4. Schwarz, Irene: Brill-Noether theory for cyclic covers (2017)
  5. Eröcal, Burçin; Motsak, Oleksandr; Schreyer, Frank-Olaf; Steenpaß, Andreas: Refined algorithms to compute syzygies (2016)
  6. Farkas, Gavril; Kemeny, Michael: The generic Green-Lazarsfeld secant conjecture (2016)
  7. Verra, Alessandro: Classical moduli spaces and rationality (2016)
  8. Barchielli, Caterina; Frediani, Paola: On the first Gaussian map for Prym-canonical line bundles (2014)
  9. Benzo, L.: Uniruledness of some moduli spaces of stable pointed curves (2014)
  10. Farkas, Gavril; Verra, Alessandro: The geometry of the moduli space of odd spin curves (2014)
  11. Poonen, Bjorn; Stoll, Michael: Most odd degree hyperelliptic curves have only one rational point (2014)
  12. Chiodo, Alessandro; Eisenbud, David; Farkas, Gavril; Schreyer, Frank-Olaf: Syzygies of torsion bundles and the geometry of the level $\ell $ modular variety over $\overline\mathcalM_g$ (2013)
  13. Colombo, Elisabetta; Frediani, Paola: On the Koszul cohomology of canonical and Prym-canonical binary curves (2013)
  14. Farkas, Gavril; Verra, Alessandro: The classification of universal Jacobians over the moduli space of curves (2013)
  15. Bini, Gilberto; Fontanari, Claudio; Viviani, Filippo: On the birational geometry of the universal Picard variety (2012)
  16. Böhning, Christian; von Bothmer, Hans-Christian Graf; Casnati, Gianfranco: Birational properties of some moduli spaces related to tetragonal curves of genus 7 (2012)
  17. Farkas, Gavril; Ortega, Angela: The maximal rank conjecture and rank two Brill-Noether theory (2011)
  18. Iyer, Jaya; Müller-Stach, Stefan: A note on the unirationality of a moduli space of double covers (2011)
  19. Ballico, Edoardo; Casnati, Gianfranco; Fontanari, Claudio: On the birational geometry of moduli spaces of pointed curves (2009)
  20. Farkas, Gavril: Koszul divisors on moduli spaces of curves (2009)

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