Kristian Ranestad
Papers, preprints and scripts (see also the arXiv)
- K. Ranestad: On smooth surfaces of degree ten in the projective fourspace. Oslo 1988 (Dissertation dr. philos.) 107 pages 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. arxiv.org/math/9810120
- 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. arxiv.org/math/9810121
- Atanas Iliev, Kristian Ranestad: Canonical curves and varieties of sums of powers of cubic polynomials. JOURNAL OF ALGEBRA 2001;246:385-393 arxiv.org/math/0102130
- Atanas Iliev, Kristian Ranestad: Geometry of the Lagrangian Grassmannian LG(3,6) with applications to Brill-Noether loci." arxiv.org/math/0209169 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" arxiv.org/math/0409219 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 arxiv.org/math/0312301
- Hirotachi Abo, Kristian Ranestad: "Irregular elliptic surfaces of degree 12 in the projective fourspace" arxiv.org/math/0210317 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 / Miro-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" arxiv.org/math/0309306 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
- 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 PDF
- 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 PDF
- 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
- 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
- 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
- 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
- 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
- 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
- Salvatore Giuffrida, Kristian Ranestad: "A geometric characterization of Hankel r-planes" PDF Bulletin of the London Mathematical Society, (42) (2010) 912-916
- Kristian Ranestad, Bernd Sturmfels: "On the convex hull of a space curve" 18 pages, Adv. Geom 12 (1), (2012) 157-178 arXiv:0912.2986v1 [math.AG]
- Kristian Ranestad, Frank -O. Schreyer: "On the rank of a symmetric form", 346 (1),(2011) 340-342 arxiv.org/1104.3648
- 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
- Kristian Ranestad, Frank -O. Schreyer: The variety of polar simplices, Documenta Mathematica 18, (2013) 469-505
- A Bernardi, K Ranestad: On the cactus rank of cubic forms, Journal of Symbolic Computation 50,(2013) 291-297
- M Kapustka, K Ranestad: Vector bundles on Fano varieties of genus ten, Mathematische Annalen 356 (2),(2013) 439-467
- G Blekherman, J Hauenstein, JC Ottem, K Ranestad, B Sturmfels: Algebraic boundaries of Hilbert’s SOS cones, Compositio Mathematica 148 (06), (2012) 1717-1735
- C Ciliberto, MA Cueto, M Mella, K Ranestad, P Zwiernik: Cremona linearizations of some classical varieties, in From Classical to Modern Algebraic Geometry pp 375-407, DOI: 10.1007/978-3-319-32994-9_9 (2017)
- K Ranestad, C Voisin: Variety of power sums and divisors in the moduli space of cubic fourfolds, DOCUMENTA MATHEMATICA, Vol. 22 (2017), 455-504
- A Bernardi, J Jelisiejew, PM Marques, K Ranestad: On polynomials with given Hilbert function and applications, Collectanea Mathematica, (2017). doi:10.1007/s13348-016-0190-2
- A Iliev, G Kapustka, M Kapustka, K Ranestad: EPW cubes, Journal für die reine und angewandte Mathematik, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2019, Issue 748, Pages 241–268,
- P De Poi, D Faenzi, E Mezzetti, K Ranestad: Fano congruences of index 3 and alternating 3-forms, Annales de l'Institut Fourier, Volume 67 (2017) no. 5, p. 2099-2165
- K Ranestad, JC Ottem, B Sturmfels, C Vinzant: Quartic Spectrahedra, Mathematical programming 151 (2), (2014) 585-612
- C Améndola, K Ranestad, B Sturmfels:Algebraic Identifiability of Gaussian Mixtures, Int Math Res Notices DOI:10.1093/imrn/rnx090
- M Gallet, K Ranestad, N Villamizar: Varieties of apolar subschemes of toric surfaces, to appear in Arkiv för Matematik (2017)
- A Iliev, G Kapustka, M Kapustka, K Ranestad: Hyperkähler fourfolds and Kummer surfaces, to appear in Proceedings of LMS
- M Helsø, K Ranestad: Rational Quartic Spectahedra (2018)
- D Cifuentes, K Ranestad, B Sturmfels, M Weinstein: Voronoi cells of Varieties (2018)
- K Kohn, K Ranestad: Projective geometry of Wachspress coordinates (2019)
- D Agostini, C Améndola, K Ranestad: Moment Identifiability of Homoscedastic Gaussian Mixtures (2019)
- K Ranestad, B Sturmfels: Twenty-Seven Questions about the Cubic Surface (2019)
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K. Kohn, R. Piene, K. Ranestad, F. Rydell, B. Shapiro, R. Sinn, M.-S. Sorea, S. Telen: Adjoints and Canonical Forms of Polypols (2021)
Michal Kapustka: "Macaulay 2 scripts for Vector bundles on Fano varieties of genus 10 "
Theses of some of my students
- Kjell Fredrik Pettersen: "On Nodal Determinental Quartic Hypersurfaces in P^4." PDF, PhD thesis
- Elise Øby: "Apolar varieties of Schubert cycles" PDF, PhD thesis
- Johannes Kleppe: "Additive splittings of Homogeneous Polynomials" PDF, PhD thesis, 2005
- Johannes Kleppe: "Representing a Homogeneous Polynomial as a Sum of Powers of Linear Forms" PDF, Master thesis, 1999
- Magnus Dehli Vigeland: "Topics in elementary tropical geometry" PDF, PhD thesis
- Andrea Hofmann: "Curves of genus 2 on rational normal scrolls and scrollar syzygies" PDF, PhD thesis
- Stefano Brangani: "Some problems of projective geometry" PDF, PhD thesis