Kristian Ranestad



Preprints

  1. Kristian Ranestad: Non-Abelian Brill Noether Loci and the Lagrangian Grassmannian LG(3,6)" Slides from the talk at the Fano conference Oct. 1st 2002 Postscript, PDF 
  2. Tom Graber, Kristian Ranestad: "Veronese surfaces and line arrangements"PDF MSRI Preprint #2003-017, 
  3. Kristian Ranestad: "Estetikk i Matematikk" 13 pages (in Norwegian)PDF 
  4. Michal Kapustka, Kristian Ranestad: "Vector bundles on Fano varieties of genus 10" arXiv/1005.5528 16 pages Michal Kapustka: "Macaulay 2 scripts for Vector bundles on Fano varieties of genus 10 " PDF
  5. K. Ranestad, F. -O. Schreyer: "Varieties of polar simplices", submitted, PDF 
  6. Grigoriy Blekherman, Jonathan Hauenstein, John Christian Ottem, Kristian Ranestad, Bernd Sturmfels: "Algebraic boundaries of Hilbert's SOS cones", submitted, arXiv/1107.1846 
  7. Alessandra Bernardi, Kristian Ranestad: "The cactus rank of cubic forms", submitted,arXiv/1110.2197  

Papers

  1. K. Ranestad: On smooth surfaces of degree ten in the projective fourspace. Oslo 1988 (Dissertation dr. philos.) 107 pages Postscript PDF 
  2. A. Aure, K. Ranestad: The smooth surfaces of degree 9 in $\Pn 4$. Complex Projective Geometry, Lond. Math. Soc. L. N. S. 179 32-46 
  3. K. Ranestad: Smooth surfaces of degree 10 in the projective fourspace. Symp. Math. Roma XXXII (1991) 271-307 
  4. K. Ranestad: On smooth plane curve fibrations in $\Pn 4$. I Geometry of Complex Projective Varieties, proc. av en konferanse i Cetraro,1990, Med. Press (1993) 243-255 
  5. E. Mezzetti, K. Ranestad: The non-existence of a smooth sectionaly non-special surface of degree 11 and sectional genus 8 in the projective fourspace. Manus. Math. 70, (1991) 279-283 
  6. A. Aure, W. Decker, K. Hulek, S. Popescu, K. Ranestad: The Geometry of Bielliptic Surfaces in P^4. Int. J. Math. Vol 4, No. 6 (1993) 873-902 
  7. R. Braun, K. Ranestad: Conic bundles in projective fourspace. Appeared in proc. of Europroj annual conference 1995, Lect. notes in pure and applied math. vol 200, Newstead (editor), Marcel Dekker 7 pages 
  8. S. Popescu, K. Ranestad: Surfaces of Degee 10 in the Projective Fourspace via Linear systems and Linkage. J. Alg. Geo. Vol 5 nr 1 (1996) 13-76 
  9. A. Aure, W. Decker, K. Hulek, S. Popescu, K. Ranestad: Syzygies of abelian and bielliptic surfaces in P^4. Internat. J. Math. 8 (1997), no. 7, 849--919. 
  10. S. Di Rocco, K. Ranestad: On surfaces in P^6 without trisecant lines. Ark. Mat. 38 (2000), no. 2, 231--261. PDF 
  11. K. Ranestad, F. -O. Schreyer: Varieties of sums of powers, J. Reine Angew. Math. 525 (2000), 147--181, PDF 
  12. Kristian Ranestad: A geometric construction of elliptic conic bundles in $\Pn 4$. Math. Z. 231 (1999), no. 4, 771--781. PDF 
  13. Klaus Hulek, Kristian Ranestad: Abelian surfaces with two plane cubic curve fibrations and Calabi-Yau threefolds. Preprint 1998, appeared in "Complex Analysis and Algebraic Geometry" A Volume in Memory of Michael Schneider, Walter de Gruyter. PDF 
  14. Atanas Iliev, Kristian Ranestad: K3 surfaces of genus 8 and varieties of sums of powers of cubic fourfolds. Preprint 1999, appeared in Trans. of A.M.S. PDF 
  15. Atanas Iliev, Kristian Ranestad: Canonical curves and varieties of sums of powers of cubic polynomials. JOURNAL OF ALGEBRA 2001;246:385-393 PDF 
  16. Atanas Iliev, Kristian Ranestad: Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether loci." Postscript PDF Mich. Math. Journal 53, (2005) 383-417 
  17. Kristian Ranestad: Non-Abelian Brill Noether Loci and the Lagrangian Grassmannian LG(3,6)." PDF Appeared in Proceedings of the Fano conference Torino 2002. Collino, Conte, Marchisio (Editors), Universita di Torino 2004. 
  18. Kristian Ranestad: "The degree of the secant variety and the join of monomial curves" Collect. Math. 57,1 (2006), 27-41 PDF 
  19. Jacob E. Goodman, Andreas Holmsen, Ricky Pollack, Kristian Ranestad, Frank Sottile: "Cremona Convexity, Frame Convexity, and a Theorem of Santal\'o" PDF Adv. Geom. 6 (2006), 301-321 
  20. Rosa Maria Miro-Roig, Kristian Ranestad: "Intersection of ACM-curves in P^3" Advances in Geometry 5, (2005), 637-656 PDF 
  21. Hirotachi Abo, Kristian Ranestad: "Irregular elliptic surfaces of degree 12 in the projective fourspace" PDF Math. Nachr. 278 (2005) 511--524. 
  22. Nicholas Eriksson, Kristian Ranestad, Bernd Sturmfels, Seth Sullivant: "Phylogenetic algebraic geometry" math.AG/0407033 in "Projective Varieties with Unexpected Properties" Ed. by Ciliberto, Ciro / Geramita, Antony V. / Harbourne, Brian / Mir—-Roig, Rosa Maria / Ranestad, Kristian, de Gruyter Proceedings in Mathematics, de Gruyter, Berlin, New York, (2005) 237-256 
  23. Franck Melliez, Kristian Ranestad: "Degenerations of (1,7)-polarized abelian surfaces" PDF Math. Scand. {\bf 97} (2005) 161-187 
  24. Hirotachi Abo, Kristian Ranestad: "Construction of rational surfaces of degree 12 in projective fourspace" J. Algebraic Geom. 15 (2006), 323-338 PDF 
  25. Trond Gustavsen, Kristian Ranestad: A simple point counting algorithm for Hessian elliptic curves in chracteristic three, Applicable Algebra in Engineering, Communication and Computing, 17 (2006), 141-150 PDF 
  26. Atanas Iliev, Kristian Ranestad: "The abelian fibration on the Hilbert cube of a K3 surface of genus 9." International Journal of Mathematics, {\bf 18}, 1,(2007), 1-26 math.AG/0507016, PDF 
  27. Johan P. Hansen, Trygve Johnsen, Kristian Ranestad: "Schubert Unions in Grassmann Varieties", Finite Fields and their applications {\bf 13} (2007), 738-750 math.AG/0503121 
  28. Atanas Iliev, Kristian Ranestad: Addendum to "K3 surfaces of genus 8 and varieties of sums of powers of cubic fourfolds." Proceedings of the Bulgarian Academy of Sciences 2007,Volum 60. (12) p 1265-1270 Postscript, PDF 
  29. Jiawang Nie, Kristian Ranestad, Bernd Sturmfels: " The Algebraic Degree of Semidefinite Programming", Mathematical Programming A, DOI 10.1007/s10107-008-0253-6, Volum 122, (2) (2010) p 379-405 math.OC/0611562 
  30. Hans-Christian Graf v. Bothmer, Kristian Ranestad: " Classification of rational surfaces of degree 11 and sectional genus 11 in P4", Math. Scand. ( 104) (2009), 60-94, math.AG/0603567 
  31. Hans-Christian Graf v. Bothmer, Kristian Ranestad: " A general formula for the algebraic degree in semidefinite programming", Bulletin of LMS, ( 41) (2009), 193-197 math.AG/0701877
  32. Jiawang Nie, Kristian Ranestad: " Algebraic Degree of Polynomial Optimization", SIAM J. Optim. Volume 20, Issue 1, pp. 485-502 (2009) DOI: 10.1137/080716670 math.OC/0802.1233, revised nov 2008:PDF 
  33. Johan P. Hansen, Trygve Johnsen, Kristian Ranestad: "Grassmann Codes and Schubert Unions" I: Arithmetic, Geometry and Coding Theory (ACCT 2005). Paris: Soc. Math. France Paris 2010 ISBN 978-2-85629-279-2. pp. 103-123 PDF 
  34. Hans-Christian Graf v. Bothmer, Kristian Ranestad, Frank Sottile: "Linear precision for toric surface patches" arXiv:0806.3230 Foundations of Computational Mathematics, Vol 10 (2010) 37-66 
  35. Salvatore Giuffrida, Kristian Ranestad: "A geometric characterization of Hankel r-planes" PDF Bulletin of the London Mathematical Society, (42) (2010) 912-916 
  36. Kristian Ranestad, Bernd Sturmfels: "On the convex hull of a space curve" 18 pages, Advances in Geometry, DOI 10.1515 / ADVGEOM.2011.021 arXiv:0912.2986v1 [math.AG] 
  37. Kristian Ranestad, Frank -O. Schreyer: "On the rank of a symmetric form", to appear in Journal of Algebra, PDF 
  38. Kristian Ranestad, Bernd Sturmfels:"The Convex Hull of a Variety" in: ``Notions of Positivity and the Geometry of Polynomials" Trends in Mathematics, Springer Verlag, Basel, 2011, pp. 331Ð344 arxiv.org/pdf/1004.3018


Theses of some of my students

Sist oppdatert 18.8.2011