Publications Graf v. Bothmer
From CRCG-Wiki
Preprints
Published Articles
- Rationality of quotients by linear actions of affine groups (with Fedor Bogomolov and Christian Böhning), Science of China Series A: August 2011 Vol. 54 No. 8: 1521-1532; DOI: 10.1007/s11425-010-4127-z
- Focal values of plane cubic centers (with Jakob Kröker), Qualitative Theory of Dynamical Systems, Volume 9, Number 1-2 (2010), 319-324; DOI 10.1007/s12346-010-0031-8
- Linear precision for toric surface patches (with Kristian Ranestad, Frank Sottile), Foundations of Computational Mathematics, Volume 10, Number 1 (2010), 37-66; . DOI: 10.1007/s10208-009-9052-6.
- A Clebsch-Gordan formula for SL_3 and applications to rationality (with Christian Böhning), Advances in Mathematics Volume 224, Issue 1 (2010), 246-259. DOI: 10.1016/j.aim.2009.11.006.
- Rationality of the moduli spaces of plane curves of sufficiently large degree (with Christian Böhning), Inventiones Mathematicae, Volume 179, Number 1 (2010), 159-173; DOI: 10.1007/s00222-009-0214-6.
- Rationality of moduli spaces of plane curves of small degree (with Christan Böhning and Jakob Kröker), Experimental Mathematics, Vol. 18 (2009), No. 4, p. 499-508.
- A general formula for the algebraic degree in semidefinite programming (with Kristian Ranestad), Bull. London Math. Soc. 2009 41: 193-197
- Classification of rational surfaces of degree 11 and sectional genus 11 in P^4 (with Kristian Ranestad), Math. Scand. 104 (2009), 60–94
- Low-dimensional Singularities with Free Divisors as Discriminants (with Ragnar-Olaf Buchweitz and Wolfgang Ebeling), J. Algebraic Geom. 18 (2009), 371-406
- Finite Field Experiments (with an Appendix by Stefan Wiedmann), Higher-Dimensional Geometry over Finite Fields, Nato Science for Peace and Security Series, Vol. 16 (2008), p. 1-62
- An algebraic fomula for the index of a vector field on an isolated complete intersection singularity (with Wolfgang Ebeling and Xavier Gomez-Mont), Annales de l'Institut Fourier, Vol. 58 no. 5 (2008), p. 1761-1783
- Experimental results for the Poincar\'e center problem (including an appendix with M. Cremer), NoDEA, Volume 14, Numbers 5-6 / December 2007. programs
- The Casas-Alvero conjecture for infinitely many degrees (with Oliver Labs, Josef Schicho, and Christiaan van de Woestijne), Journal of Algebra, Volume 316, Issue 1, 1 October 2007, Pages 224-230
- Generic syzygy schemes, Journal of Pure and Applied Algebra, Volume 208, Issue 3 , March 2007, Pages 867-876.
- Scrollar Syzygies of general canonical curves with genus at most 8, Trans. Amer. Math. Soc. 359 (2007), 465-488.
- A quick and dirty irreducibility Test for Multivariate Polynomials over F_q (with F.O. Schreyer), Experimental Mathematics, Vol. 14 (2005), No. 4, 415-422.
- A new family of rational surfaces in P^4 (with C. Erdenberger and K. Ludwig), Journal of Symbolic Computation, Volume 39, Issue 1, Jannuary 2005, Pages 51-60. Macaulay Scripts
- Flächen vom nicht allgemeinen Typ in P^4. (with C. Erdenberger and K. Ludwig), Mathematisches Institut, Georg-August-Universität Göttingen: Seminars 2003/2004, 191--199, Universitätsdrucke Göttingen, Göttingen, 2004.
- Geometric syzygies of elliptic normal curves and their secant varieties (with K. Hulek), Manuscripta Mathematica, volume 113 (2004), number 1, pp 35-68.
- Last syzygies of 1-generic spaces, Journal of Algebra, volume 278 (2004), issue 1, pp 360-369.
- Significance of log-periodic signatures in cumulative noise, Quantitative Finance, volume 3 (2003), issue 5, pages 370-375. pdf, very high resolution pdf
- Predicting critical crashes? A new restriction for the free variables (with C. Meister), Physica A, vol 320C, pp 539-547, 2003. high resolution pdf, complete dataset
- Basiskonzept zur Durchführung von Krisentests (A conceptual framework for stress testing), (with G. Fiebach and C. Dachtler), Zeitung für das gesamte Kreditwesen, 20/97, pp 1001-1008, 1997.
Thesis
