Publications of Jarosław Buczyński

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All papers on

Published articles on MathSciNet.

I am editing a volume (in preparation), see Proceedings of IMPANGA15 conference.

I am editing a volume (in preparation), see a call for submissions: Proceedings of miniPAGES, a mini-semester in Algebraic Geometry (deadline: 31 January 2017).


  1. "Finite schemes and secant varieties over arbitrary characteristic"
    Jarosław Buczyński, Joachim Jelisiejew
  2. "Special lines on contact manifolds"
    Jarosław Buczyński, Grzegorz Kapustka, Michał Kapustka
  3. Accepted for publication:

  4. "Maps of Mori Dream Spaces in Cox coordinates. Part I: existence of descriptions"
    Jarosław Buczyński, Oskar Kędzierski
    to appear in Mathematische Nachrichten, arXiv:1605.06828
  5. "On the locus of points of high rank"
    Jarosław Buczyński, Kangjin Han, Massimiliano Mella, Zach Teitler
    to appear in European Journal of Mathematics, arXiv:1703.02829
  6. "Constructions of k-regular maps using finite local schemes"
    Jarosław Buczyński, Tadeusz Januszkiewicz, Joachim Jelisiejew, Mateusz Michałek
    to appear in Journal of European Mathematical Society, arXiv:1511.05707
  7. Published:

  8. "Some examples of forms of high rank"
    Jarosław Buczyński, Zach Teitler
    Collect. Math. 67 (2016) Issue 3, 431-441, DOI: 10.1007/s13348-015-0152-0, arXiv:1503.08253
  9. "Apolarity and direct sum decomposability of polynomials"
    Weronika Buczyńska, Jarosław Buczyński, Johannes Kleppe, Zach Teitler
    Michigan Math. J. 64 (2015) Issue 4, 675-719, DOI:10.1307/mmj/1447878029, arXiv:1307.3314
  10. "The Hackbusch Conjecture on tensor formats"
    Weronika Buczyńska, Jarosław Buczyński, Mateusz Michałek
    Journal de Mathématiques Pures et Appliquées, 2015, 104(4), 749-761 DOI:10.1016/j.matpur.2015.05.002, arXiv:1501.01120
  11. "On differences between the border rank and the smoothable rank of a polynomial"
    Weronika Buczyńska, Jarosław Buczyński
    Glasgow Mathematical Journal, 2015, 57(2), 401-413, DOI: 10.1017/S0017089514000378, arXiv:1305.1726
  12. "On the third secant variety"
    Jarosław Buczyński, Joseph M. Landsberg
    Journal of Algebraic Combinatorics, 2014, 40(2), 475-502, DOI: 10.1007/s10801-013-0495-0 (open access), arXiv:1111.7005
  13. "Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes"
    Weronika Buczyńska, Jarosław Buczyński
    J. Algebraic Geom. 23 (2014), 63-90, DOI: 10.1090/S1056-3911-2013-00595-0, arXiv:1012.3563
  14. "Maps of toric varieties in Cox coordinates"
    Gavin Brown, Jarosław Buczyński
    Fundamenta Mathematica, 222 (2013), 213-267, DOI: 10.4064/fm222-3-2, arXiv:1004.4924
  15. "On the graph labellings arising from phylogenetics"
    Weronika Buczyńska, Jarosław Buczyński, Kaie Kubjas, Mateusz Michałek
    Central European Journal of Mathematics, 2013, 11(9), 1577-1592, DOI: 10.2478/s11533-013-0263-3, arXiv:1105.5382
  16. "Determinantal equations for secant varieties and the Eisenbud-Koh-Stillman conjecture"
    Jarosław Buczyński, Adam Ginensky, Joseph M. Landsberg
    Journal of London Mathematical Society (2013) 88(1), 1-24, doi: 10.1112/jlms/jds073, arXiv:1007.0192
    Note also there is an accompanying example to this paper here.
  17. "Waring decompositions of monomials"
    Weronika Buczyńska, Jarosław Buczyński, Zach Teitler
    Journal of Algebra 378 (2013), pp. 45-67, DOI: 10.1016/j.jalgebra.2012.12.011, arXiv:1201.2922
  18. "Ranks of tensors and a generalization of secant varieties"
    Jarosław Buczyński, Joseph M. Landsberg
    Linear Algebra and Its Applications 438 (2013), pp. 668-689 (Special Issue "Tensors and Multilinear Algebra"), DOI: 10.1016/j.laa.2012.05.001, arXiv:0909.4262
  19. "Contact Moishezon threefolds with second Betti number one"
    Jarosław Buczyński, Thomas Peternell
    Archiv der Mathematik, 2012, Volume 98, Number 5, Pages 427-431, DOI: 10.1007/s00013-012-0388-9 (open access), arXiv:1201.3705
  20. "Secants of Lagrangian Grassmannians"
    Ada Boralevi, Jarosław Buczyński
    Annali di Matematica Pura ed Applicata 2011, Volume 190, Number 4, 725-739, DOI: 10.1007/s10231-010-0171-0, arXiv:1006.1925
  21. "Duality and integrability on contact Fano manifolds"
    Jarosław Buczyński
    Documenta Math. 15 (2010) 821--841, article, arXiv:1002.0698
  22. "Algebraic Legendrian Varieties"
    Jarosław Buczyński
    Dissertationes Math. 467 (2009), 86 pp. DOI:10.4064/dm467-0-1, arXiv:0805.3848 (Phd thesis)
  23. "Some quasihomogeneous Legendrian varieties"
    Jarosław Buczyński
    Advances in Geometry. Volume 9 (2009), Issue 2, Pages 257-277, DOI: 10.1515/ADVGEOM.2009.016, arXiv:0701750
  24. "Hyperplane sections of Legendrian subvarieties"
    Jarosław Buczyński
    Math. Res. Lett. 15 (2008), no. 4, 623--629, DOI: 10.4310/MRL.2008.v15.n4.a2, arXiv:0701590
  25. "Toric Legendrian subvarieties"
    Jarosław Buczyński
    Transform. Groups 12 (2007), no. 4, 631--646, DOI: 10.1007/s00031-007-0064-5, arXiv:math/0609550
  26. "Legendrian subvarieties of projective space"
    Jarosław Buczyński
    Geom. Dedicata 118 (2006), 87--103, DOI: 10.1007/s10711-005-9027-y, version contains more details: arXiv:math/0503528 (MSc thesis)
  27. Book chapters:

  28. "Toric varieties", a chapter in "The Magma handbook"
    Gavin Brown, Jarosław Buczyński, Alexander Kasprzyk
  29. "Convex polytopes and polyhedra", a chapter in "The Magma handbook"
    Gavin Brown, Jarosław Buczyński, Alexander Kasprzyk
  30. Non-research publications:

  31. "Tensor decompositions in algebraic geometry", Jarosław Buczyński in Annual Report 2013, Polish Academy of Sciences, 66--68.