Kristian Ranestad

Preprints

• 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

• Tom Graber, Kristian Ranestad: "Veronese surfaces and line arrangements"PDF MSRI Preprint #2003-017,

• Kristian Ranestad: "Estetikk i Matematikk" 13 pages (in Norwegian)PDF

• Johan P. Hansen, Trygve Johnsen, Kristian Ranestad: "Grassmann Codes and Schubert Unions in Grassmann Varieties" 20 pages, (to appear in the Conference proceedings of AGCT-10) PDF

Papers

• K. Ranestad: On smooth surfaces of degree ten in the projective fourspace. Oslo 1988 (Dissertation dr. philos.) 107 pages Postscript PDF

• 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

• K. Ranestad: Smooth surfaces of degree 10 in the projective fourspace. Symp. Math. Roma XXXII (1991) 271-307

• 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

• 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

• 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

• 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

• 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

• 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.

• S. Di Rocco, K. Ranestad: On surfaces in P^6 without trisecant lines. Ark. Mat. 38 (2000), no. 2, 231--261. PDF

• K. Ranestad, F. -O. Schreyer: Varieties of sums of powers, J. Reine Angew. Math. 525 (2000), 147--181, PDF

• Kristian Ranestad: A geometric construction of elliptic conic bundles in $\Pn 4$. Math. Z. 231 (1999), no. 4, 771--781. PDF

• 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

• 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

• Atanas Iliev, Kristian Ranestad: Canonical curves and varieties of sums of powers of cubic polynomials. JOURNAL OF ALGEBRA 2001;246:385-393 PDF

• 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

• 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.

• Kristian Ranestad: "The degree of the secant variety and the join of monomial curves" Collect. Math. 57,1 (2006), 27-41 PDF

• 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

• Rosa Maria Miro-Roig, Kristian Ranestad: "Intersection of ACM-curves in P^3" Advances in Geometry 5, (2005), 637-656 PDF

• Hirotachi Abo, Kristian Ranestad: "Irregular elliptic surfaces of degree 12 in the projective fourspace" PDF Math. Nachr. 278 (2005) 511--524.

• 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

• Franck Melliez, Kristian Ranestad: "Degenerations of (1,7)-polarized abelian surfaces" PDF Math. Scand. {\bf 97} (2005) 161-187

• Hirotachi Abo, Kristian Ranestad: "Construction of rational surfaces of degree 12 in projective fourspace" J. Algebraic Geom. 15 (2006), 323-338 PDF

• 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

• 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

• 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

• 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

• Jiawang Nie, Kristian Ranestad, Bernd Sturmfels: " The Algebraic Degree of Semidefinite Programming", Mathematical Programming A, DOI 10.1007/s10107-008-0253-6 math.OC/0611562

• Hans-Christian Graf v. Bothmer, Kristian Ranestad: " Classification of rational surfaces of degree 11 and sectional genus 11 in P4", Math. Scand. {\bf 104} (2009), 60-94, math.AG/0603567

• Hans-Christian Graf v. Bothmer, Kristian Ranestad: " A general formula for the algebraic degree in semidefinite programming", Bulletin of LMS, {\bf 41} (2009), 193-197 math.AG/0701877

• 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

• Hans-Christian Graf v. Bothmer, Kristian Ranestad, Frank Sottile: "Linear precision for toric surface patches" arXiv:0806.3230 To appear in Foundations of Computational Mathematics

Kjell Fredrik Pettersen's thesis

• Kjell Fredrik Pettersen: "On Nodal Determinental Quartic Hypersurfaces in P^4." PDF

Elise Øby's thesis

• Elise Øby: "Apolar varieties of Schubert cycles in P^4." PDF

Johannes Kleppe's Thesis

• Johannes Kleppe: "Additive splittings of Homogeneous Polynomials" PDF

Magnus Vigeland's Thesis

• Magnus Dehli Vigeland: "Topics in elementary tropical geometry" PDF