KOLÁŘ, Martin. Finite type hypersurfaces with divergent normal form. Online. MATHEMATISCHE ANNALEN. NEW YORK: SPRINGER, 2012, vol. 354, No 3, p. 813-825. ISSN 0025-5831. Available from: https://dx.doi.org/10.1007/s00208-011-0747-z. [citováno 2024-04-24]
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Basic information
Original name Finite type hypersurfaces with divergent normal form
Authors KOLÁŘ, Martin (203 Czech Republic, guarantor, belonging to the institution)
Edition MATHEMATISCHE ANNALEN, NEW YORK, SPRINGER, 2012, 0025-5831.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 1.378
RIV identification code RIV/00216224:14310/12:00058651
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1007/s00208-011-0747-z
UT WoS 000309875300002
Keywords in English Finite type; normal form; divergence
Tags AKR, divergent normal form, Finite type, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 10/4/2013 13:35.
Abstract
We consider the convergence problem for normal forms on finite type hypersurfaces in dimension two, constructed in Kolar (Math Res Lett 12:897-910, 2005). Two families of examples of hypersurfaces with divergent normal form are given. The results also show that the divergence phenomenon cannot be avoided by a modification of the normal form construction.
Links
GA201/08/0397, research and development projectName: Algebraické metody v geometrii a topologii
Investor: Czech Science Foundation, Algebraic methods in geometry and topology
PrintDisplayed: 24/4/2024 12:33