FR 6.1 Mathematik (UdS): Homepage of Frank-Olaf Schreyer

Publications

	Prof. Dr. Frank-Olaf Schreyer
54.	Matrix factorizations and families of curves of genus 15 , arXiv: 1311.6962
53.	Computational aspects of gonal maps and radical parametrization of curves , arXiv: 1304.2551 (with J. Schicho and M. Weimann)
52.	Twenty Points in P^3 , arXiv: 1212.1841 (with D. Eisenbud and R. Hartshorne)
51.	Minimal Free Resolutions of the $G$-parking Function Ideal and the Toppling Ideal , to appear in Transactions of the American Mathematical Society (with M. Manjunath and J. Wilmes)
50.	Syzygies of torsion bundles and the geometry of the level l modular variety over Mg , Inventiones Mathematicae 194 (2013), 73-118 (with A. Chiodo, D. Eisenbud and G. Farkas)
49.	Computer aided unirationality proofs for moduli spaces , Handbook of Moduli, Volume III (2013), 257-280.
48.	The Variety of Polar Simplices , Doc. Math. 18 (2013), 469-505. (with K. Ranestad)
47.	Filtering free resolutions , Compos. Math. 149 (2013), no. 5, 754-772. (with D. Eisenbud and D. Erman)
46.	The Banks of the Cohomology River , Kyoto J. Math. 53 (2013), no. 1, 131-144. (with David Eisenbud)
45.	A remark to a conjecture of Paranjape and Ramanan. Geometry and arithmetic, 113-123, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2012. (with F. Eusen).
44.	ACM Curves of Small Degree and Cubic Threefolds, Appendix to the paper: Stable Ulrich Bundles by M. Casanellas and R. Hartshorne, , Internat. J. Math. 23 (2012), no. 8, 1250083, 50 pp. (with Florian Geiß)
43.	On the rank of a symmetric form , J. Algebra 346 (2011), 340-342. (with K. Ranestad)
42.	Boij-Söderberg Theory. Combinatorial Aspects of Commutative Algebra and Algebraic Geometry , Abel Symposium 2009, 35-48, Springer Verlag 2011 (with David Eisenbud)
41.	Betti Numbers of Syzygies and Cohomology of Coherent Sheaves , Proceedings of the ICM, Hyderabad 2010, vol. 2, 585-602 (with David Eisenbud)
40.	Cohomology of coherent sheaves and series of supernatural bundles , J. Eur. Math. Soc. (JEMS) 12 (2010), no. 3, 703-722 (with David Eisenbud)
39.	A family of exceptional Stewart-Gough mechanisms of genus 7. , Interactions of classical and numerical algebraic geometry, 221-234, Contemp. Math. 496, Amer. Math. Soc., Providence, RI, 2009 (with Florian Geiß)
38.	Betti Numbers of Graded Modules and Cohomology of Vector Bundles , J. Amer. Math. Soc. 22 (2009), no.3, 859-888 (with David Eisenbud)
37.	Relative Beilinson Monad and Direct Image for Families of Coherent Sheaves , Trans. Amer. Math. Soc. 360 (2008), no. 10, 5367-5396. (with D. Eisenbud)
36.	Exterior algebra methods for the construction of rational surfaces in the projective fourspace , London Math. Soc. Lecture Note Ser., 324, Cambridge Univ. Press, Cambridge, 2006. (with H. Abo)
35.	A Quick and Dirty Irreducibility Test for Multivariate Polynomials over F_q , Experiment. Math. 14 (2005), no. 4, 415-422. (with H.-C. Graf v. Bothmer)
34.	Some topics in Computational Algebraic Geometry , in C. Musili (ed): Advances in Algebra and Geometry (University of Hyderabad Conference 2001) 263-278, Hindustan Book Agency (India), New Delhi 2002.
33.	Real Fano 3-folds of type V₂₂ , in A. Conte et al. (eds): Proceedings of the Fano Conference, Torino 2002, (with J. Kollár).
32.	Computational Algebraic Geometry Today , in C.Ciliberto et al. (eds): Application of Algebraic Geometry to Coding Theory, Physics and Computation , 65-119, Kluwer 2001 (with W. Decker).
31.	Resultants and Chow forms via exterior syzygies , J. Amer. Math. Soc. 16 (2003), 537-579 (with D. Eisenbud), Appendix by Jerzy Weyman .
30.	Exterior algebra methods for the minimal resolution conjecture , Duke Math J. 112 (2002), 379-395 (with D. Eisenbud, S. Popescu and C. Walter).
29.	Needles in haystack: special varieties via small fields, in: D. Eisenbud, D. Grayson, M. Stillman, B. Sturmfels (eds.): Mathematical computations with Macaulay 2., 251--279, Springer (2001), (with F. Tonoli).
28.	Sheaf cohomology and resolutions over the exterior algebra , Trans. Amer. Math. Soc. 355 (2003), 4397-4426, (with D. Eisenbud and G. Fløystad).
27.	Canonical projections of irregular algebraic surfaces, , in M.~Beltrametti et. al. (eds.): Algebraic Geometry. A Volume in Memory of Paolo Francia, 79--116, de Gruyter Berlin 2002, (with F. Catanese).
26.	Geometry and algebra of prime Fano 3-folds of genus 12, Compositio Math. 127 (2001), 297--319.
25.	Moduli of (1,7)-polarized abelian surfaces via syzygies, Math. Nachr. 226 (2001), 177--203, (with N. Manolache).
24.	Non-general Type Surfaces in P⁴: Some remarks on bounds and constructions, J. Symbolic Computation 29 (2000), 545--585, (with W. Decker).
23.	Varieties of sums of powers, J. reine angew. Math. 525 (2000), 147--182, (with K. Ranestad).
22.	Generating a noetherian normalization of the invariant ring of a finite group. J. of Symbolic Computation 25 (1998), 1--5, (with W. Decker and A.E. Heydtmann).
21.	Fragen zum Mathematikstudium, ca. 19 Seiten in: Studienführer Mathematik der Universität Bayreuth. Mathematisches Institut der Universität Bayreuth, 1997, in Druck und in elektronischer Version.
20.	Small fields in constructive algebraic geometry. In: M. Maruyama, editor: Moduli of vector bundles, Marcel Dekker Inc., New York 1996, 221--228.
19.	Classification of conic bundles in P⁵. Annali della Scuola Normale Superiore di Pisa 23 (1996), 69--97, (with R. Braun, G. Ottaviani and M. Schneider).
18.	Boundedness for non-general type 3-folds in P⁵. In: Complex Analysis and Geometry edited by V. Ancona and A. Silva, Plenum Press (1993), 311--338, with R. Braun, G. Ottaviani and M. Schneider).
17.	Construction of surfaces in P⁴. J. Alg. Geom. 2 (1993), 185--237, (with W. Decker and L. Ein).
16.	Geometry of the Horrocks bundle on P⁵. In: Complex projective geometry, London Math. Soc. Lecture Note Series 179 (1992), 128--148, (with W. Decker and N. Manolache).
15.	Cremona transformations and syzygies.Math. Z. 209 (1992), 419--443, (with K. Hulek and S. Katz).
14.	A standard basis approach to syzygies of canonical curves J. reine angew. Math. 421 (1991), 83-123.
13.	Rank 2 vector bundles on P⁴ with c₁ odd and contact curves. Math. Z. 205 (1990), 123--136, (with W. Decker and M.S. Narasimhan).
12.	The Clifford dimension of an projective curve. Compositio Math. 72 (1989), 173--204, (with D. Eisenbud, H. Lange and G. Martens).
11.	Certain Weierstrass points occur at most once. In: Geometry and complex analysis, Proceedings Pátzcuaro 1987, Springer Lecture Notes 1414 162--168.
10.	Green's conjecture for the general p-gonal curve of large genus} In: Algebraic curves and projective geometry, Proceedings Trento 1988, Springer Lecture Notes 1389, 254--260.
9.	A Torelli theorem for osculating cones to the theta divisor. Compositio Math. 67 (1988), 343--353, (with G. Kempf).
8.	Pullbacks of the Horrocks-Mumford bundle. J. reine angew. Math. 382 (1987), 215-220, (with W. Decker).
7.	Finite and countable CM-representation type. In: Singularities, Representation of Algebras, and Vector Bundles, Proceedings Lambrecht 1985, Springer Lecture Notes 1273, 9--34.
6.	Cohen-Macaulay modules on hypersurface singularities II. Invent. math. 88 (1987), 165--182, (with R.-O. Buchweitz and G.-M. Greuel).
5.	On the uniqueness of the Horrocks-Mumford bundle. Math. Ann. 273 (1986), 415-443, (with W. Decker).
4.	Syzygies and line bundles of trigonal curves, Abh. Math. Sem. Hamburg 56 (1986), 169--189, (with G. Martens).
3.	Syzygies of canonical curves and special linear series. Math. Ann. 275 (1986), 105--137.
2.	The Moduli of Curves is Stably Rational for g <= 6. Duke Math. J. 5 (1984), 239-242, (with J. Kollár).
1.	Resolutions of Cohen-Macaulay Algebras. Math. Ann. 257 (1981), 85--98, (with D. Eisenbud and O. Riemenschneider).
	Dr. Florian Geiß
3.	The unirationality of Hurwitz spaces of 6-gonal curves of small genus , Doc. Math. 17 (2012), 627-640.
2.	ACM Curves of Small Degree and Cubic Threefolds, Appendix to the paper: Stable Ulrich Bundles by M. Casanellas and R. Hartshorne, , Internat. J. Math. 23 (2012), no. 8, 1250083, 50 pp. (with Frank-Olaf Schreyer).
1.	A family of exceptional Stewart-Gough mechanisms of genus 7. , Interactions of classical and numerical algebraic geometry, 221-234, Contemp. Math. 496, Amer. Math. Soc., Providence, RI, 2009 (with Frank-Olaf Schreyer).
	Dr. Oliver Labs
14.	Nullstellen von Polynomen in 2d und 3d - virtuell und real, Beiträge zum Mathematikunterricht 2012.
13.	Nullstellen und Diskriminanten von Polynomen . Mit GeoGebra mehr Mathematik verstehen (Hrsg: R. Kaenders, R. Schmidt), Vieweg, 2011.
12.	Terme in Bildern, Tagungsband des GDM-Arbeitskreises Geometrie (2011).
11.	Algebraic Expansions: Broadening the Scope of Architectural Design through Algebraic Surfaces. Computational Design Modeling: Proceedings of the Design Modeling Symposium Berlin 2011. Springer Berlin Heidelberg, 2011. 8-16, (with Günter Barczik, Daniel Lordick).
10.	Erweitertes geometrisches und skulpturales Gestaltungsvokabular für Architektur durch algebraische Flächen. Ästhetische Geometrie-Geometrische Ästhetik, Tagungsband der 6. Tagung der Deutschen Gesellschaft für Geometrie und Grafik (DGfGG), Herzogenrath : Shaker, 2010, ISBN 978-3-8322-9701-5, 46-51, (with Günter Barczik, Daniel Lordick).
9.	Perplexing Beauty: The Aesthetics of Algebraic Geometry in Architecture. Proceedings of the 21st Biennial congress of the International Association of Empirical Aesthetics in Dresden (IAEA) "Aesthetics+ Design". 25.-28. August 2010, (with Günter Barczik, Daniel Lordick).
8.	Algebraic Geometry in Architectural Design, to appear in eCAADe 2009, (with Günter Barczik, Daniel Lordick).
7.	Surfaces with Many Solitary Points , Geom. Dedicata Vol. 141. 2009, 123-134, (with Erwan Brugallé).
6.	A List of Challenges for Real Algebraic Plane Curve Visualization Software , Nonlinear Computational Geometry, IMA Volume 151, 137-164 (2009).
5.	Real Line Arrangements and Surfaces with Many Real Nodes , Geometric Modeling and Algebraic Geometry (2008), 47-54, (with S. Breske and D. van Straten).
4.	The Casas-Alvero conjecture for infinitely many degrees , J. Algebra, Vol. 316, No 1, 224-230, (with Hans-Christian Graf von Bothmer, Josef Schicho, Christiaan van de Woestijne).
3.	Dessins d'Enfants and Hypersurfaces with Many Aj-Singularities , J. Lond. Math.Soc. (2), Vol. 74, 607-622 (2006)
2.	A Septic with 99 real Nodes , Rend. Sem. Mat. Univ. Pad., Vol. 116, 299-313 (2006)
1.	Illustrating the Classification of Real Cubic Surfaces , Algebraic Geometry and Geometric Modelling (2006), 119-134, (with S. Holzer).
	Dr. Madhusudan Manjunath
1.	Minimal Free Resolutions of the $G$-parking Function Ideal and the Toppling Ideal , to appear in Transactions of the American Mathematical Society (with F.-O. Schreyer and J. Wilmes)