Characterizations of Rotundity and Smoothness by Approximate Orthogonalities

• Autorzy: Tomasz Stypuła , Paweł Wójcik
• Języki publikacji: EN

Abstrakty

EN

We describe some algorithms, without using resolution of singularities, that establish the rationality of the motivic Igusa zeta series of certain hypersurfaces that are non-degenerated with respect to their Newton polyhedron. This includes, in any characteristic, the motivic rationality for polydiagonal hypersurfaces, vertex singularities, binomial hypersurfaces, and Du Val singularities.(original abstract)

Słowa kluczowe

PL

Matematyka; Algebra

EN

Mathematics; Algebra

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2016
• Tom: 30
• Strony: 193-201

Twórcy

autor

Tomasz Stypuła

• University of Cracow, Poland

autor

Paweł Wójcik

• University of Cracow, Poland

Bibliografia

• Alsina C., Sikorska J., Santos Tomas M., Norm Derivatives and Characterizations of Inner Product Spaces, World Scientific, Hackensack, New Jersay, 2009.
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• Chmieliński J., Wójcik P., p-orthogonality and its preservation - revisited, in: Recent Developments in Functional Equation and Inequalities, Banach Center Publ., Polish Acad. Sci. Inst. Math., Warsaw, 2013, pp. 17-30.
• Dragomir S.S., Semi-inner products and applications, Nova Science Publishers, Inc., Hauppauge, New York, 2004.
• Day M.M., Normed linear spaces, Ergeb. Math. Grenzgeb. 21, Springer, New York- Heidelberg, 1973.
• Giles J.R., Classes of semi-inner-product spaces, Trans. Amer. Math. Soc. 129 (1967), 436-446.
• Lumer G., Semi-inner-product spaces, Trans. Amer. Math. Soc. 100 (1961), 29-43.
• Wójcik P., Characterizations of smooth spaces by approximate orthogonalities, Aequationes Math. 89 (2015), 1189-1194.

Identyfikatory

DOI

10.1515/amsil-2016-0011