Fachbereich
Mathematik und Statistik
Universität
Konstanz
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Schwerpunkt Reelle Geometrie und Algebra > Prof. Dr. Claus Scheiderer -> English version

Publikationen und Manuskripte

Bücher
Artikel
Preprints
Weitere Manuskripte


Bücher

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


Artikel

64 Spectrahedral shadows. SIAM J. Appl. Algebra Geometry 2, 26-44 (2018). (pdf).
63 Semidefinite representation for convex hulls of real algebraic curves. SIAM J. Appl. Algebra Geometry 2, 1-25 (2018). (pdf).
62 (mit Colin Tan) A Positivstellensatz for forms on the positive orthant. Arch. Math. 109, 123--131 (2017). (doi)
61 (mit Sebastian Wenzel) Polynomials nonnegative on the cylinder. In: Ordered Algebraic Structures and Related Topics, F. Broglia et al (eds.), Contemp. Math. 697, AMS, Providence, RI, 2017, pp. 291-300. (doi)
60 Sum of squares length of real forms. Math. Z. 286, 559-570 (2017). (doi))
59 (mit Aaron Kunert) Extreme positive ternary sextics. Trans. Am. Math. Soc. 370, 3997--4013 (2018). (doi, preprint)
58 (mit Daniel Plaumann) Toric completions and bounded functions on real algebraic varieties. J. London Math. Soc. (2) 94, 598-616 (2016).
57 Sums of squares of polynomials with rational coefficients. J. European Math. Soc. 18, 1495-1513 (2016).
56 (mit Maria Charina, Mihai Putinar and Joachim Stöckler) An algebraic perspective on multivariate tight wavelet frames. II. Appl. Comput. Harmon. Anal. 39, 185-213 (2015).
55 (mit David Harari und Tomás Szamuely) Weak approximation for tori over p-adic function fields. Int. Math. Res. Notices 10, 2751-2783 (2015).
54 (mit Mihai Putinar) Quillen property of real algebraic varieties. Münster J. Math. 7, 671-696 (2014).
53 (mit Maria Charina, Mihai Putinar and Joachim Stöckler) An algebraic perspective on multivariate tight wavelet frames. Constructive Approximation 38, 253-276 (2013)
52 Appendix to: "Isomorphism criteria for Witt rings of real fields" by N. Grenier-Boley and D. Hoffmann. Forum Math. 25, 15-17 (2013)
51 (mit Mihai Putinar) Quillen property for real algebraic varieties. Illinois J. Math. 56, 213-220 (2012)
50 (mit Albrecht Pfister) An elementary proof of Hilbert's theorem on ternary quartics. J. Algebra 371, 1-25 (2012)
49 (mit Daniel Plaumann) The ring of bounded polynomials on a semi-algebraic set. Trans. Am. Math. Soc. 364, 4663-4682 (2012)
48 A Positivstellensatz for projective real varieties. Manuscr. math. 138, 73-88 (2012)
47 (mit Sabine Burgdorf und Markus Schweighofer) Pure states, nonnegative polynomials, and sums of squares. Comm. Math. Helvetici 87, 113-140 (2012)
46 Convex hulls of curves of genus one. Adv. Math. 228, 2606-2622 (2011)
45 (mit Mihai Putinar) Sums of hermitian squares on pseudoconvex boundaries. Math. Res. Lett. 17, 1047-1053 (2010)
44 The u-invariant of one-dimensional function fields over real power series fields. Arch. Math. 93, 245-251 (2009)
43 Weighted sums of squares in local rings and their completions, II. Math. Z. 266, 21-42 (2010)
42 Weighted sums of squares in local rings and their completions, I. Math. Z. 266, 1-19 (2010)
41 Hilbert's theorem on positive ternary quartics: A refined analysis. J. Algebraic Geometry 19, 285-333 (2010)
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 (mit Jaka Cimpric und Salma Kuhlmann) Sums of squares and moment problems in equivariant situations. Trans. Am. Math. Soc. 361, 735-765 (2009)
38 (mit Mihai Putinar) Multivariate moment problems: Geometry and indeterminateness. Ann. Scuola Norm. Sup. Pisa (5) 5, 137-157 (2006)
37 (mit José F. Fernando und Jesús M. Ruiz) Sums of squares of linear forms. Math. Res. Lett. 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 (mit Vicki Powers, Bruce Reznick und Frank Sottile) A new approach to Hilbert's theorem on ternary quartics. C. R. Acad. Sci. Paris, Ser. I 339, 617-620 (2004)
32 (mit José F. Fernando und 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 (mit Joost van Hamel) Cohomology of tori over p-adic curves. Math. Ann. 326, 155-183 (2003)
29 (mit David Lewis und 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 (mit 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 (mit Yuval Z. Flicker und 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 (mit 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, 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 (mit 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

Extreme points of Gram spectrahedra of binary forms. (12 pp, February 2018) (pdf).
An observation on positive definite forms. (2 pp, February 2016) (pdf).


Weitere Manuskripte

A remark on descending sums of squares representations (2 pp, 16 July 2009) (pdf)
In how many ways is a quartic a conic of conics? Data for irreducible quartics over C and for nonnegative absolutely irreducible quartics over R. (6 pp, 4 November 2007) (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)