Publications of Jarosław Buczyński

Back to homepage of Jarosław Buczyński.

All papers on arxiv.org.

Published articles on MathSciNet.


    Preprints:

  1. "Immaculate line bundles on toric varieties"
    Klaus Altmann, Jarosław Buczyński, Lars Kastner, Anna-Lena Winz
    arXiv:1808.09312
  2. "Algebraic torus actions on contact manifolds"
    Jarosław Buczyński, Jarosław A. Wiśniewski, with an appendix by Andrzej Weber
    arXiv:1802.05002
  3. "Special lines on contact manifolds"
    Jarosław Buczyński, Grzegorz Kapustka, Michał Kapustka
    arXiv:1405.7792
  4. Accepted for publication:

  5. "Complex contact manifolds, varieties of minimal rational tangents, and exterior differential systems"
    Jarosław Buczyński, Giovanni Moreno
    to appear in vol 117 of Banach Center Publications, arXiv:1805.08548
  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. "Maps of Mori Dream Spaces in Cox coordinates. Part I: existence of descriptions"
    Jarosław Buczyński, Oskar Kędzierski
    Mathematische Nachrichten 291 (2018) Issue 4, 576-592, DOI: 10.1002/mana.201600287, arXiv:1605.06828
  9. "On the locus of points of high rank"
    Jarosław Buczyński, Kangjin Han, Massimiliano Mella, Zach Teitler
    European Journal of Mathematics 4 (2018) Issue 1, 113-136, DOI: 10.1007/s40879-017-0172-2, arXiv:1703.02829
  10. "Finite schemes and secant varieties over arbitrary characteristic"
    Jarosław Buczyński, Joachim Jelisiejew
    Differential Geometry and its Applications 55 (2017), 13-67 DOI: 10.1016/j.difgeo.2017.08.004, arXiv:1703.02770.
  11. "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
  12. "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
  13. "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
  14. "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
  15. "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
  16. "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
  17. "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
  18. "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
  19. "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.
  20. "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
  21. "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
  22. "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
  23. "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
  24. "Duality and integrability on contact Fano manifolds"
    Jarosław Buczyński
    Documenta Math. 15 (2010) 821--841, article, arXiv:1002.0698
  25. "Algebraic Legendrian Varieties"
    Jarosław Buczyński
    Dissertationes Math. 467 (2009), 86 pp. DOI:10.4064/dm467-0-1, arXiv:0805.3848 (Phd thesis)
  26. "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
  27. "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
  28. "Toric Legendrian subvarieties"
    Jarosław Buczyński
    Transform. Groups 12 (2007), no. 4, 631--646, DOI: 10.1007/s00031-007-0064-5, arXiv:math/0609550
  29. "Legendrian subvarieties of projective space"
    Jarosław Buczyński
    Geom. Dedicata 118 (2006), 87--103, DOI: 10.1007/s10711-005-9027-y, arxiv.org version contains more details: arXiv:math/0503528 (MSc thesis)
  30. Books, book chapters, editorial work:

  31. "Phenomenological Approach to Algebraic Geometry",
    Editors: Jarosław Buczyński, Sławomir Cynk, Tomasz Szemberg,
    Banach Center Publications, 2018, vol 116, ISBN 978-83-86806-38-6
  32. "Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15",
    Editors: Jarosław Buczyński, Mateusz Michałek, Elisa Postinghel,
    EMS Series of Congress Reports, 2018, DOI: 10.4171/182
  33. "Toric varieties", a chapter in "The Magma handbook"
    Gavin Brown, Jarosław Buczyński, Alexander Kasprzyk
  34. "Convex polytopes and polyhedra", a chapter in "The Magma handbook"
    Gavin Brown, Jarosław Buczyński, Alexander Kasprzyk
  35. Non-research publications:

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