Prof. Dr. Frank-Olaf Schreyer

 

Publications
49. The Banks of the Cohomology River , preprint 2011, arXiv 1109.4591 (with David Eisenbud)
48. Filtering free resolutions , arXiv: 1001.0585 (with D. Eisenbud and D. Erman))
47. Computer aided unirationality proofs for moduli spaces , to appear in Handbook of Moduli
46. ACM Curves of Small Degree and Cubic Threefolds, Appendix to the paper: Stable Ulrich Bundles by M. Casanellas and R. Hartshorne, , arXiv: 1102.0878 (with Florian Geiß)
45. On the rank of a symmetric form , arXiv: 1104.3648 (with K. Ranestad)
44. The Variety of Polar Simplices , arXiv: 1104.2728 (with K. Ranestad)
43. Betti Numbers of Syzygies and Cohomology of Coherent Sheaves , Proceedings of the ICM, Hyderabad 2010, vol. 2, 585-602 (with David Eisenbud)
42. Boij-Söderberg Theory. Combinatorial Aspects of Commutative Algebra and Algebraic Geometry , Abel Symposium 2009, 35-48, Springer Verlag 2011 (with David Eisenbud)
41. Cohomology of coherent sheaves and series of supernatural bundles , J. Eur. Math. Soc. (JEMS) 12 (2010), no. 3, 703-722 (with David Eisenbud)
40. A family of exceptional Stewart-Gough mechanisms of genus 7. Betti Numbers of Syzygies and Cohomology of Coherent Sheaves , Interactions of classical and numerical algebraic geometry, 221-234, Contemp. Math. 496, Amer. Math. Soc., Providence, RI, 2009 (with Florian Geiß)
39. Betti Numbers of Syzygies and Cohomology of Coherent Sheaves , Proceedings of the ICM, Hyderabad 2010, vol. 2, 586-602 (with David Eisenbud)
38. Exterior algebra methods for the construction of rational surfaces in the projective fourspace , preprint, 13 pages (with H. Abo)
37. Relative Beilinson Monad and Direct Image for Families of Coherent Sheaves , preprint, 30 pages (with D. Eisenbud)
36. A Quick and Dirty Irreducibility Test for Multivariate Polynomials over F_q , preprint (with H.-C. Graf v. Bothmer)
35. 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.
34. Real Fano 3-folds of type V22 , in A. Conte et al. (eds): Proceedings of the Fano Conference, Torino 2002, (with J. Kollár).
33. 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).
32. Resultants and Chow forms via exterior syzygies , J. Amer. Math. Soc. 16 (2003), 537-579 (with D. Eisenbud), Appendix by Jerzy Weyman .
31. Exterior algebra methods for the minimal resolution conjecture , Duke Math J. 112 (2002), 379-395 (with D. Eisenbud, S. Popescu and C. Walter).
30. 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).
29. Sheaf cohomology and resolutions over the exterior algebra , Trans. Amer. Math. Soc. 355 (2003), 4397-4426, (with D. Eisenbud and G. Flĝystad).
28. 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).
27. Geometry and algebra of prime Fano 3-folds of genus 12, Compositio Math. 127 (2001), 297--319.
26. Moduli of (1,7)-polarized abelian surfaces via syzygies, Math. Nachr. 226 (2001), 177--203, (with N. Manolache).
25. Non-general Type Surfaces in P4: Some remarks on bounds and constructions, J. Symbolic Computation 29 (2000), 545--585, (with W. Decker).
24. Varieties of sums of powers, J. reine angew. Math. 525 (2000), 147--182, (with K. Ranestad).
23. 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).
22. Fragen zum Mathematikstudium, ca. 19 Seiten in: Studienfüuhrer Mathematik der Universität Bayreuth. Mathematisches Institut der Universität Bayreuth, 1997, in Druck und in elektronischer Version.
21. A remark to a conjecture of Paranjape and Ramanan. preprint, 11 pages (with F. Eusen).
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).