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 30 articles )

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  1. Agostini, Daniele; Barros, Ignacio: Pencils on surfaces with normal crossings and the Kodaira dimension of (\overline\mathcalM_g,n) (2021)
  2. Aprodu, Marian; Bruno, Andrea; Sernesi, Edoardo: A characterization of bielliptic curves via syzygy schemes (2019)
  3. Abramovich, Dan; Várilly-Alvarado, Anthony: Level structures on abelian varieties, Kodaira dimensions, and Lang’s conjecture (2018)
  4. Besana, Alberto; Martinez, Cristina: Combinatorial enumeration of cyclic covers of (\mathbbP^1) (2018)
  5. Bruns, Gregor: Twists of Mukai bundles and the geometry of the level 3 modular variety over (\overline\mathcalM_8) (2018)
  6. Farkas, Gavril; Verra, Alessandro: The universal (K3) surface of genus 14 via cubic fourfolds (2018)
  7. Schreyer, Frank-Olaf; Tanturri, Fabio: Matrix factorizations and curves in (\mathbbP^4) (2018)
  8. Aprodu, Marian; Farkas, Gavril; Ortega, Angela: Minimal resolutions, Chow forms and Ulrich bundles on (K3) surfaces (2017)
  9. Farkas, Gavril: Progress on syzygies of algebraic curves (2017)
  10. Galeotti, Mattia: Singularities of moduli of curves with a universal root (2017)
  11. Schwarz, Irene: Brill-Noether theory for cyclic covers (2017)
  12. Sernesi, E.: Algebraic curves and their moduli (2017)
  13. Eröcal, Burçin; Motsak, Oleksandr; Schreyer, Frank-Olaf; Steenpaß, Andreas: Refined algorithms to compute syzygies (2016)
  14. Farkas, Gavril; Kemeny, Michael: The generic Green-Lazarsfeld secant conjecture (2016)
  15. Verra, Alessandro: Classical moduli spaces and rationality (2016)
  16. Barchielli, Caterina; Frediani, Paola: On the first Gaussian map for Prym-canonical line bundles (2014)
  17. Benzo, L.: Uniruledness of some moduli spaces of stable pointed curves (2014)
  18. Farkas, Gavril; Verra, Alessandro: The geometry of the moduli space of odd spin curves (2014)
  19. Poonen, Bjorn; Stoll, Michael: Most odd degree hyperelliptic curves have only one rational point (2014)
  20. 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)

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