Fachbereich
Mathematik und Statistik
Universität
Konstanz
  Logo der Universität Konstanz
Schwerpunkt Reelle Geometrie und Algebra > Prof. Dr. Claus Scheiderer -> Deutsche Version

Publications, preprints, manuscripts

Books
Articles
Preprints
Other manuscripts


Books

B
Real and Étale Cohomology. Lecture Notes in Mathematics 1588, Springer, Berlin, 1994.
A
(with Manfred Knebusch) Einführung in die reelle Algebra. Vieweg, Wiesbaden, 1989.


Articles

40 Positivity and sums of squares: A guide to recent results. In: Emerging Applications of Algebraic Geometry (M. Putinar, S. Sullivant, eds.), IMA Volumes Math. Appl. 149, Springer, 2009, pp. 271-324.
39 (with Jaka Cimpric and Salma Kuhlmann) Sums of squares and moment problems in equivariant situations. Trans. Am. Math. Soc. 361, 735-765 (2009)
38 (with Mihai Putinar) Multivariate moment problems: Geometry and indeterminateness. Ann. Scuola Norm. Sup. Pisa (5) 5, 137-157 (2006)
37 (with José F. Fernando and Jesús M. Ruiz) Sums of squares of linear forms. Math. Res. Letters 13, 947-956 (2006)
36 Sums of squares on real algebraic surfaces. Manuscr. math. 119, 395-410 (2006)
35 Non-existence of degree bounds for weighted sums of squares representations. J. Complexity 21, 823-844 (2005)
34 Distinguished representations of non-negative polynomials. J. Algebra 289, 558-573 (2005)
33 (with Vicki Powers, Bruce Reznick and Frank Sottile) A new approach to Hilbert's theorem on ternary quartics. C. R. Acad. Sci. Paris, Ser. I 339, 617-620 (2004)
32 (with José F. Fernando and Jesús M. Ruiz) Sums of squares in real rings. Trans. Am. Math. Soc. 356, 2663-2684 (2004)
31 Sums of squares on real algebraic curves. Math. Z. 245, 725-760 (2003)
30 (with Joost van Hamel) Cohomology of tori over p-adic curves. Math. Ann. 326, 155-183 (2003)
29 (with David Lewis and Thomas Unger) A weak Hasse principle for central simple algebras with an involution. Doc. Math. Extra Volume, Proc. Conf. Quadratic Forms and Related Topics, Baton Rouge, La., 2001, 241-251 (2001)
28 On sums of squares in local rings. J. reine angew. Math. 540, 205-227 (2001)
27 (with Vicki Powers) The moment problem for non-compact semialgebraic sets. Adv. Geom. 1, 71-88 (2001)
26 Sums of squares of  regular functions on real algebraic varieties. Trans. Am. Math. Soc. 352, 1039-1069 (1999)
25 The structure of some virtually free pro-p groups. Proc. Am. Math. Soc. 127, 695-700 (1999)
24 (with Yuval Z. Flicker and R. Sujatha) Grothendieck's theorem on non-abelian H2 and local-global principles. J. Am. Math. Soc. 11, 731-750 (1998)
23 Appendix to: "A cohomological interpretation of the Grothendieck-Teichmüller group" by P. Lochak and L. Schneps. Invent. math. 127, 597-600 (1997)
22 Remark on the paper "Zerlegung reeller algebraischer Funktionen in Quadrate. Schiefkörper über reellem Funktionenkörper'' by E. Witt. In: Ernst Witt, Collected Papers --- Gesammelte Abhandlungen (I. Kersten, ed.), Springer, Berlin, 1998, p. 89
21 Classification of hermitian forms and semisimple groups over fields of virtual cohomological dimension one. Manuscr. math. 89, 373-394 (1996)
20 Hasse principles and approximation theorems for homogeneous spaces over fields of virtual cohomological dimension one. Invent. math. 125, 307-365 (1996)
19 Farrell cohomology and Brown theorems for profinite groups. Manuscr. math. 91, 247-281 (1996)
18 (with Jean-Louis Colliot-Thélène) Zero-cycles and cohomology on real algebraic varieties. Topology 35, 533-559 (1996)
17 Purity theorems for real spectra and applications. In: Real Analytic and Algebraic Geometry, Proc. Conf. Trento 1992, F. Broglia, M. Galbiati, A. Tognoli (eds.), de Gruyter, Berlin 1995, pp. 229-250
16 Quasi-augmented simplicial spaces, with an application to cohomological dimension. J. Pure Applied Algebra 81, 293-311 (1992)
15 Real algebra and its applications to geometry in the last ten years: Some major developments and results. In: Real Algebraic Geometry, Proc. Conf. Rennes 1991, M. Coste, L. Mahé, M.-F. Roy (eds.), Lect. Notes Math.1524, Springer, Berlin etc., 1992, pp. 75-96
14 Some remarks on orderings under finite field extensions. Pacific J. Math. 152, 175-185 (1992)
13
Spaces of orderings of fields under finite extensions. Manuscr. math.72, 27-47 (1991)
12
Stability index of real varieties. Invent. math. 97, 467-483 (1989)
11
(with Roland Huber) A relative notion of local completeness in semialgebraic geometry. Arch. Math. 53, 571-584 (1989)
10
Quotients of semi-algebraic spaces. Math. Z. 201, 249-271 (1989)
9
Riemannian almost-product structures with maximal mobility. Geom. Dedicata 24, 109-122 (1987)
8
Intersections of maximal subalgebras in Lie algebras. J. Algebra 105, 268-270 (1987)
7
Algebraic subgroup lattices of topological groups. Algebra Universalis 22, 235-243 (1986)
6
Topologies on the subgroup lattice of a compact group. Topology Appl. 23, 183-191 (1986)
5
Zusammenhängende Untergruppen von pro-Lieschen Gruppen. Geom. Dedicata 21, 231-248 (1986)
4
Quasi-normal subgroups of algebraic groups. Arch. Math. 45, 8-11 (1985)
3
Topologisch quasinormale Untergruppen zusammenhängender lokalkompakter Gruppen. Monatsh. Math. 98, 75-81 (1984)
2
Topologisch linksengelsche Elemente. Manuscr. math. 49, 243-266 (1985)
1
Topologisch rechtsengelsche Elemente in zusammenhängenden lokalkompakten Gruppen. Arch. Math. 43, 117-120 (1984)


Preprints

A Positivstellensatz for projective real varieties. (13 pp, April 2011) (pdf).
(mit Albrecht Pfister) An elementary proof of Hilbert's theorem on ternary quartics. (26 pp, September 2010) (pdf).
(mit Mihai Putinar) Sums of hermitian squares on pseudoconvex boundaries. (7 pp, May 2010) Math. Res. Lett., to appear (pdf).
Convex hulls of curves of genus one. (16 pp, March 2010) (pdf).
(mit Daniel Plaumann) The ring of bounded polynomials on a semi-algebraic set. (19 pp, February 2010) Trans. Am. Math. Soc., to appear (pdf).
(mit Sabine Burgdorf und Markus Schweighofer) Pure states, nonnegative polynomials, and sums of squares. (26 pp, May 2009) Comm. Math. Helvetici, to appear (pdf).


Other manuscripts

A remark on descending sums of squares representations (2 pp, 16 July 2009) (pdf)
A short remark on a theorem by Becker and Gondard (2 pp, 15 April 2004) (pdf)
Correction to [27] (pdf)
Correction to [26] (pdf)



Last update: 24 Jan 2009