KoszulDivisorOnPic14M8 swMATH ID: 12557 Software Authors: Schreyer, Frank-Olaf Description: 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]. Homepage: http://www.math.uni-sb.de/ag/schreyer/index.php/computeralgebra Related Software: Macaulay2; MatFacCurvesP4; ParanjapeRamananQuestion.m2; sfqm; 6gonal.m2; Schreyer.lib; SageMath; FFLAS-FFPACK; SINGULAR; Maple; GAUSSIAN Cited in: 35 Publications all top 5 Cited by 46 Authors 10 Farkas, Gavril 6 Verra, Alessandro 3 Schreyer, Frank-Olaf 2 Aprodu, Marian 2 Casnati, Gianfranco 2 Fontanari, Claudio 2 Frediani, Paola 2 Galeotti, Mattia 2 Ortega, Angela 2 Sernesi, Edoardo 2 Tanturri, Fabio 1 Abramovich, Dan 1 Agostini, Daniele 1 Anghel, Cristian Viorel 1 Ballico, Edoardo 1 Barchielli, Caterina 1 Barros, Ignacio 1 Benzo, Luca 1 Besana, Alberto 1 Bini, Gilberto 1 Böhning, Christian 1 Bruinier, Jan Hendrik 1 Bruno, Andrea 1 Bruns, Gregor 1 Chiodo, Alessandro 1 Coandă, Iustin 1 Colombo, Elisabetta 1 Eisenbud, David 1 Eröcal, Burçin 1 Garbagnati, Alice 1 Graf von Bothmer, Hans-Christian 1 Gritsenko, Valeriĭ Alekseevich 1 Iyer, Jaya N. N. 1 Kemeny, Michael 1 Keneshlou, Hanieh 1 Manolache, Nicolae 1 Martínez, Cristina 1 Motsak, Oleksandr 1 Müller-Stach, Stefan J. 1 Poonen, Bjorn 1 Schwarz, Irene 1 Steenpaß, Andreas 1 Stoll, Michael 1 Van der Geer, Gerard 1 Várilly-Alvarado, Anthony 1 Viviani, Filippo all top 5 Cited in 24 Serials 3 Journal of Pure and Applied Algebra 2 Advances in Mathematics 2 Inventiones Mathematicae 2 IMRN. International Mathematics Research Notices 2 Documenta Mathematica 2 Annals of Mathematics. Second Series 1 Communications in Algebra 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Turkish Journal of Mathematics 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Forum of Mathematics, Sigma 1 Bollettino dell’Unione Matematica Italiana all top 5 Cited in 6 Fields 34 Algebraic geometry (14-XX) 7 Commutative algebra (13-XX) 3 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) Citations by Year