Eyral, Christophe; Mostowski, Tadeusz; Pragacz, Piotr On some properties of the Łojasiewicz exponent. (English) Zbl 1478.32026 C. R., Math., Acad. Sci. Paris 359, No. 8, 991-997 (2021). Summary: In this note, we investigate the behaviour of the Łojasiewicz exponent under hyperplane sections and its relation to the order of tangency. MSC: 32C25 Analytic subsets and submanifolds 32B99 Local analytic geometry Keywords:Łojasiewicz exponent; intersections of analytic sets with hyperplanes PDFBibTeX XMLCite \textit{C. Eyral} et al., C. R., Math., Acad. Sci. Paris 359, No. 8, 991--997 (2021; Zbl 1478.32026) Full Text: DOI arXiv References: [1] Cygan, Ewa; Tworzewski, Piotr, Proper intersection multiplicity and regular separation of analytic sets, Ann. Pol. Math., 59, 3, 293-298 (1994) · Zbl 0847.32008 · doi:10.4064/ap-59-3-293-298 [2] Denkowski, Maciej P., Regular separation with parameter of complex analytic sets, Kodai Math. J., 30, 3, 429-437 (2007) · Zbl 1139.32004 [3] Domitrz, Wojciech; Mormul, Piotr; Pragacz, Piotr, Schubert Calculus and its applications in combinatorics and representation theory, 332, Order of tangency between manifolds, 27-42 (2020), Springer · Zbl 1451.14014 · doi:10.1007/978-981-15-7451-1_3 [4] Jensen, Gary R., Higher order contact of submanifolds of homogeneous spaces, 610 (1977), Springer · Zbl 0356.53005 [5] Łojasiewicz, Stanis, Ensembles semi-analytiques (1965), I.H.E.S, Bures-sur-Yvette [6] Łojasiewicz, Stanis; Jakubczyk, Bronisław, Panoramas of mathematics (Warsaw, 1992/1994), 34, On semi-analytic and subanalytic geometry, 89-104 (1995), Polish Academy of Sciences · Zbl 0841.32003 [7] Mostowski, Tadeusz, Lipschitz equisingularity, Diss. Math., 243 (1985) · Zbl 0578.32020 [8] Nguyen, Nhan; Valette, Guillaume, Lipschitz stratifications in o-minimal structures, Ann. Sci. Éc. Norm. Supér., 49, 2, 399-421 (2016) · Zbl 1353.32011 · doi:10.24033/asens.2286 [9] Parusiński, Adam, Lipschitz properties of semi-analytic sets, Ann. Inst. Fourier, 38, 4, 189-213 (1988) · Zbl 0631.32006 · doi:10.5802/aif.1154 [10] Parusiński, Adam, Singularities (Warsaw, 1985), 20, Lipschitz stratification of real analytic sets, 323-333 (1988), PWN, Warsaw · Zbl 0666.32011 [11] Parusiński, Adam; Uhlenbeck, Karen, Global analysis in modern mathematics, Proceedings of the symposium in honor of Richard Palais’ sixtieth birthday, University of Maine, Orono, ME, USA, August 8-10, 1991, and at Brandeis University, Waltham, MA, USA, August 12, 1992, Lipschitz stratification, 73-89 (1993), Publish or Perish Inc., Houston · Zbl 0932.32010 [12] Parusiński, Adam, Lipschitz stratification of subanalytic sets, Ann. Sci. Éc. Norm. Supér., 27, 6, 661-696 (1994) · Zbl 0819.32007 · doi:10.24033/asens.1703 [13] Scharnhorst, Klaus, Angles in complex vector spaces, Acta Appl. Math., 69, 1, 95-103 (2001) · Zbl 0993.51010 · doi:10.1023/A:1012692601098 [14] Spodzieja, Stanisław, The Łojasiewicz exponent of subanalytic sets, Ann. Pol. Math., 87, 247-263 (2005) · Zbl 1095.32004 · doi:10.4064/ap87-0-21 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.