A. Buckley: | A three dimensional counterexample to conjecture of Cox and Katz about nef cones of toric hypersurfaces, February 2001 [postscript] |

A. Buckley, M. Zompatori: | On the transversality of restricted linear systems, Le Matematiche, Vol LVI (2001), Fasc. II, pp. 231-241 [postscript] |

A. Buckley, M. Zompatori: | Linear systems of plane curves with a composite number of base points of equal multiplicity, Trans. Amer. Math. Soc. 355 (2003), no. 2, 539--549 [postscript] |

A. Buckley, B. Szendroi : | Orbifold Riemann-Roch for threefolds with an application to Calabi-Yau geometry, J. Algebraic Geom. 14 (2005), no. 4, 601--622. |

A. Buckley, T. Košir: | Determinantal representations of smooth cubic surfaces, Geometriae Dedicata, 125 (2007), 115--140. [PDF] |

A. Buckley, T. Košir: | Determinantal representations of cubic curves, May 2006 [postscript] |

A. Buckley, T. Košir: | Construction of self-adjoint determinantal representations of smooth cubic surfaces, Eurosim 2007, [PDF] |

A. Buckley: | Computing Dedekind sums using the Euclidean algorithm , Eurosim 2007, [PDF] |

A. Buckley, T. Košir: | Plane Curves as Pfaffians, Annali Della Scuola Normale Superiore di Pisa-Classe di Scienze, 2010 [PDF] |

A. Buckley: | Elementary Transformations of Pfaffian Representations of Plane Curves, Linear Algebra and its Applications, 433, no. 4 (2010), 758--780. [PDF] |

A. Buckley, M. Reid, S. Zhou: | Ice cream and orbifold Riemann?Roch, Izvestiya: Mathematics, Volume 77 (2013), Issue 3, [PDF] |

A. Buckley, T. Košir: | Determinantal Representations of Cubic Curves, Conference on Geometry: Theory and Applications, presentation, Ljubljana 2013 [PDF] |

A. Buckley, T. Košir: | Simultaneously self-adjoint sets of matrices, Linear Algebra Workshop LAW, presentation, Ljubljana 2014 [PDF] |

A. Buckley: | Pfaffian representations of Weierstrass cubic curves, preprint, October 2014 [PDF] |

A. Buckley, T. Košir: | Simultaneously self-adjoint sets of 3*3 matrices, Rend. Istit. Mat. Univ. Trieste, Volume 47 (2015), [PDF] |

A. Buckley: | Matrices defining elliptic curves, Workshop of Algebraic Geometry in the occasion of the visit of Rosa Maria Miro-Roig, presentation, Trieste 2015 [PDF] |

A. Buckley: | Matrices defining plane curves, ACM Bundles on Algebraic Varieties, presentation, Ankara 2015 [PDF] |

A. Buckley: | Indecomposable matrices defining plane cubics, Operators and Matrices, special issue in honor of Leiba Rodman (2016), [PDF] |

A. Buckley: | Positive semidefinite determinantal representations of nonnegative polynomials, Algebra and Geometry Meeting, presentation, Barcelona 2016 [PDF] |

A. Buckley, K. Sivic: | Nonnegative biquadratic forms with maximal number of zeros, 2016 [arXiv] |

A. Buckley, B. Plestenjak: | Explicit determinantal representations of up to quintic bivariate polynomials, Linear and Multilinear Algebra, 2017 [PDF] |

A. Buckley, K. Sivic: | Positive semidefinite quadratic determinantal representations, , Sums of Squares - Real Algebraic Geometry and its Applications, presentation, Innsbruck 2017 [PDF] |

Bibliography

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D. Henrion: * Detecting rigid convexity of bivariate polynomials, * arXiv:0801.3592v1

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S. Papadakis : * Some calculations on type II_1 unprojection, * arXiv:0708.0727v1

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B. Hassett, Y. Tschinkel: * Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces, * arXiv:0805.4162v2

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