Parusiński, Adam; Păunescu, Laurenţiu Lipschitz stratification of complex hypersurfaces in codimension 2. (English) Zbl 07714602 J. Eur. Math. Soc. (JEMS) 25, No. 5, 1743-1781 (2023). MSC: 14B05 32Sxx 32B10 PDFBibTeX XMLCite \textit{A. Parusiński} and \textit{L. Păunescu}, J. Eur. Math. Soc. (JEMS) 25, No. 5, 1743--1781 (2023; Zbl 07714602) Full Text: DOI arXiv
Ðinh, Sĩ-Tiệp; Phạm, Tiến-Sơn Lipschitz continuity of tangent directions at infinity. (English) Zbl 1523.14095 Bull. Sci. Math. 182, Article ID 103223, 27 p. (2023). Reviewer: Mihai-Marius Tibar (Lille) MSC: 14P10 32B20 PDFBibTeX XMLCite \textit{S.-T. Ðinh} and \textit{T.-S. Phạm}, Bull. Sci. Math. 182, Article ID 103223, 27 p. (2023; Zbl 1523.14095) Full Text: DOI
Fefferman, Charles; Luli, Garving K. \(C^m\) semialgebraic sections over the plane. (English) Zbl 1511.14096 J. Math. Soc. Japan 74, No. 3, 759-811 (2022). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14P10 35G05 32B20 PDFBibTeX XMLCite \textit{C. Fefferman} and \textit{G. K. Luli}, J. Math. Soc. Japan 74, No. 3, 759--811 (2022; Zbl 1511.14096) Full Text: DOI arXiv
Belotto Da Silva, André; Fantini, Lorenzo; Pichon, Anne On Lipschitz normally embedded complex surface germs. (English) Zbl 07541903 Compos. Math. 158, No. 3, 623-653 (2022). Reviewer: Tomohiro Okuma (Yamagata) MSC: 14B05 32S25 13A18 PDFBibTeX XMLCite \textit{A. Belotto Da Silva} et al., Compos. Math. 158, No. 3, 623--653 (2022; Zbl 07541903) Full Text: DOI arXiv
Belotto da Silva, André; Fantini, Lorenzo; Pichon, Anne Inner geometry of complex surfaces: a valuative approach. (English) Zbl 1487.32166 Geom. Topol. 26, No. 1, 163-219 (2022). MSC: 32S25 32S05 14B05 32S55 PDFBibTeX XMLCite \textit{A. Belotto da Silva} et al., Geom. Topol. 26, No. 1, 163--219 (2022; Zbl 1487.32166) Full Text: DOI arXiv
Parusiński, Adam Algebro-geometric equisingularity of Zariski. (English) Zbl 1486.32011 Cisneros-Molina, José Luis (ed.) et al., Handbook of geometry and topology of singularities II. Cham: Springer. 177-222 (2021). MSC: 32S15 14B05 14H20 32-02 14-02 PDFBibTeX XMLCite \textit{A. Parusiński}, in: Handbook of geometry and topology of singularities II. Cham: Springer. 177--222 (2021; Zbl 1486.32011) Full Text: DOI arXiv
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). MSC: 32C25 32B99 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
Amerik, Ekaterina; Verbitsky, Misha Contraction centers in families of hyperkähler manifolds. (English) Zbl 1473.53074 Sel. Math., New Ser. 27, No. 4, Paper No. 60, 26 p. (2021). MSC: 53C26 32G13 PDFBibTeX XMLCite \textit{E. Amerik} and \textit{M. Verbitsky}, Sel. Math., New Ser. 27, No. 4, Paper No. 60, 26 p. (2021; Zbl 1473.53074) Full Text: DOI arXiv Backlinks: MO
Pichon, Anne An introduction to Lipschitz geometry of complex singularities. (English) Zbl 1457.32073 Neumann, Walter (ed.) et al., Introduction to Lipschitz geometry of singularities. Lecture notes of the international school on singularity theory and Lipschitz geometry, Cuernavaca, Mexico, June 11–22, 2018. Cham: Springer. Lect. Notes Math. 2280, 167-216 (2020). MSC: 32S05 14B05 PDFBibTeX XMLCite \textit{A. Pichon}, Lect. Notes Math. 2280, 167--216 (2020; Zbl 1457.32073) Full Text: DOI arXiv
Birbrair, Lev; Gabrielov, Andrei Surface singularities in \(\mathbb{R}^4\) : first steps towards Lipschitz knot theory. (English) Zbl 1459.58014 Neumann, Walter (ed.) et al., Introduction to Lipschitz geometry of singularities. Lecture notes of the international school on singularity theory and Lipschitz geometry, Cuernavaca, Mexico, June 11–22, 2018. Cham: Springer. Lect. Notes Math. 2280, 157-166 (2020). Reviewer: Majid Gazor (Isfahan) MSC: 58K40 14J17 14J25 57K10 PDFBibTeX XMLCite \textit{L. Birbrair} and \textit{A. Gabrielov}, Lect. Notes Math. 2280, 157--166 (2020; Zbl 1459.58014) Full Text: DOI arXiv
Ruas, Maria Aparecida Soares Basics on Lipschitz geometry. (English) Zbl 1457.32016 Neumann, Walter (ed.) et al., Introduction to Lipschitz geometry of singularities. Lecture notes of the international school on singularity theory and Lipschitz geometry, Cuernavaca, Mexico, June 11–22, 2018. Cham: Springer. Lect. Notes Math. 2280, 111-155 (2020). MSC: 32C05 32C25 32B20 PDFBibTeX XMLCite \textit{M. A. S. Ruas}, Lect. Notes Math. 2280, 111--155 (2020; Zbl 1457.32016) Full Text: DOI
Trotman, David Stratifications, equisingularity and triangulation. (English) Zbl 1457.32017 Neumann, Walter (ed.) et al., Introduction to Lipschitz geometry of singularities. Lecture notes of the international school on singularity theory and Lipschitz geometry, Cuernavaca, Mexico, June 11–22, 2018. Cham: Springer. Lect. Notes Math. 2280, 87-110 (2020). MSC: 32C05 32C25 32B20 PDFBibTeX XMLCite \textit{D. Trotman}, Lect. Notes Math. 2280, 87--110 (2020; Zbl 1457.32017) Full Text: DOI HAL
da Silva, Thiago Filipe; de Góes Grulha Júnior, Nivaldo; Pereira, Miriam Real and complex integral closure, Lipschitz equisingularity and applications on square matrices. (English) Zbl 1453.32032 J. Singul. 22, 215-226 (2020). MSC: 32S15 14J17 32S60 PDFBibTeX XMLCite \textit{T. F. da Silva} et al., J. Singul. 22, 215--226 (2020; Zbl 1453.32032) Full Text: DOI arXiv
Fernando, José F. On the set of local extrema of a subanalytic function. (English) Zbl 1439.32021 Collect. Math. 71, No. 1, 1-24 (2020). Reviewer: Tadeusz Krasiński (Łódź) MSC: 32B20 14P15 PDFBibTeX XMLCite \textit{J. F. Fernando}, Collect. Math. 71, No. 1, 1--24 (2020; Zbl 1439.32021) Full Text: DOI arXiv
Pichon, Anne A topological introduction to Lipschitz geometry of complex singularities. (English) Zbl 1479.58001 Winter Braids Lect. Notes 6, Exp. No. 3, 17 p. (2019). MSC: 58-01 32-01 58Kxx 32Sxx PDFBibTeX XMLCite \textit{A. Pichon}, Winter Braids Lect. Notes 6, Exp. No. 3, 17 p. (2019; Zbl 1479.58001) Full Text: DOI
Campesato, Jean-Baptiste; Fukui, Toshizumi; Kurdyka, Krzysztof; Parusiński, Adam Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets. (English) Zbl 1436.14094 Math. Ann. 374, No. 1-2, 211-251 (2019). Reviewer: Immanuel Halupczok (Leeds) MSC: 14P20 26A16 14E18 14B05 PDFBibTeX XMLCite \textit{J.-B. Campesato} et al., Math. Ann. 374, No. 1--2, 211--251 (2019; Zbl 1436.14094) Full Text: DOI arXiv
Seade, José On Milnor’s fibration theorem and its offspring after 50 years. (English) Zbl 1416.32001 Bull. Am. Math. Soc., New Ser. 56, No. 2, 281-348 (2019). MSC: 32-03 14-03 57-03 01A60 01A61 32Sxx 14Bxx 57M27 57M50 PDFBibTeX XMLCite \textit{J. Seade}, Bull. Am. Math. Soc., New Ser. 56, No. 2, 281--348 (2019; Zbl 1416.32001) Full Text: DOI arXiv
Juniati, Dwi; Noirel, Laurent; Trotman, David Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces \(y^{a}=z^{b}x^{c}+x^{d}\). (English) Zbl 1390.14107 Topology Appl. 234, 335-347 (2018). Reviewer: Jozsef Bodnar (Stony Brook) MSC: 14J17 14P05 32S15 PDFBibTeX XMLCite \textit{D. Juniati} et al., Topology Appl. 234, 335--347 (2018; Zbl 1390.14107) Full Text: DOI arXiv
García Ramírez, Erick Non-Archimedean stratifications of tangent cones. (English) Zbl 1469.14111 Math. Log. Q. 63, No. 3-4, 299-312 (2017). MSC: 14P10 03C64 03C98 PDFBibTeX XMLCite \textit{E. García Ramírez}, Math. Log. Q. 63, No. 3--4, 299--312 (2017; Zbl 1469.14111) Full Text: DOI
Acquistapace, Francesca; Broglia, Fabrizio; Fernando, José F. On globally defined semianalytic sets. (English) Zbl 1371.14063 Math. Ann. 366, No. 1-2, 613-654 (2016). Reviewer: Zofia Denkowska (Angers) MSC: 14P15 58A07 32C25 26E05 32C20 PDFBibTeX XMLCite \textit{F. Acquistapace} et al., Math. Ann. 366, No. 1--2, 613--654 (2016; Zbl 1371.14063) Full Text: DOI arXiv
Costa, J. C. F.; Nishimura, T.; Ruas, M. A. S. Bi-Lipschitz \(\mathcal A\)-equivalence of \(\mathcal K\)-equivalent map-germs. (English) Zbl 1301.58020 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 173-182 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 58K15 58K25 58K60 PDFBibTeX XMLCite \textit{J. C. F. Costa} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 1, 173--182 (2014; Zbl 1301.58020) Full Text: DOI arXiv
Birbrair, Lev; Neumann, Walter D.; Pichon, Anne The thick-thin decomposition and the bilipschitz classification of normal surface singularities. (English) Zbl 1303.14016 Acta Math. 212, No. 2, 199-256 (2014). Reviewer: Jan Stevens (Göteborg) MSC: 14B05 32S05 57M99 32S25 PDFBibTeX XMLCite \textit{L. Birbrair} et al., Acta Math. 212, No. 2, 199--256 (2014; Zbl 1303.14016) Full Text: DOI arXiv
Birbrair, Lev; Fernandes, Alexandre; Neumann, Walter D. Separating sets, metric tangent cone and applications for complex algebraic germs. (English) Zbl 1200.14010 Sel. Math., New Ser. 16, No. 3, 377-391 (2010). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14B05 14J17 PDFBibTeX XMLCite \textit{L. Birbrair} et al., Sel. Math., New Ser. 16, No. 3, 377--391 (2010; Zbl 1200.14010) Full Text: DOI arXiv
Cluckers, Raf; Comte, Georges; Loeser, François Lipschitz continuity properties for \(p\)-adic semi-algebraic and subanalytic functions. (English) Zbl 1220.12003 Geom. Funct. Anal. 20, No. 1, 68-87 (2010). Reviewer: Tobias Kaiser (Passau) MSC: 12J10 03C98 11S80 PDFBibTeX XMLCite \textit{R. Cluckers} et al., Geom. Funct. Anal. 20, No. 1, 68--87 (2010; Zbl 1220.12003) Full Text: DOI arXiv
Koike, Satoshi; Paunescu, Laurentiu The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms. (English) Zbl 1184.14086 Ann. Inst. Fourier 59, No. 6, 2445-2467 (2009). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P15 32B20 PDFBibTeX XMLCite \textit{S. Koike} and \textit{L. Paunescu}, Ann. Inst. Fourier 59, No. 6, 2445--2467 (2009; Zbl 1184.14086) Full Text: DOI arXiv EuDML
Valette, Guillaume On metric types that are definable in an o-minimal structure. (English) Zbl 1145.03017 J. Symb. Log. 73, No. 2, 439-447 (2008). Reviewer: Andreas Fischer (Saskatoon) MSC: 03C64 14P15 PDFBibTeX XMLCite \textit{G. Valette}, J. Symb. Log. 73, No. 2, 439--447 (2008; Zbl 1145.03017) Full Text: DOI
Birbrair, L.; Costa, J. C. F.; Fernandes, A.; Ruas, M. A. S. \(K\)-bi-Lipschitz equivalence of real function-germs. (English) Zbl 1116.32020 Proc. Am. Math. Soc. 135, No. 4, 1089-1095 (2007). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 32S15 32S05 PDFBibTeX XMLCite \textit{L. Birbrair} et al., Proc. Am. Math. Soc. 135, No. 4, 1089--1095 (2007; Zbl 1116.32020) Full Text: DOI
Kaiser, Tobias Dirichlet regularity in arbitrary o-minimal structures on the field \(\mathbb R\) up to dimension 4. (English) Zbl 1111.03037 Math. Nachr. 279, No. 15, 1669-1683 (2006). Reviewer: Carlo Toffalori (Camerino) MSC: 03C64 31B35 35J25 PDFBibTeX XMLCite \textit{T. Kaiser}, Math. Nachr. 279, No. 15, 1669--1683 (2006; Zbl 1111.03037) Full Text: DOI
Reichstein, Z.; Youssin, B. Parusinski’s “Key Lemma” via algebraic geometry. (English) Zbl 0956.32009 Electron. Res. Announc. Am. Math. Soc. 5, No. 19, 136-145 (1999). MSC: 32B20 14P15 PDFBibTeX XMLCite \textit{Z. Reichstein} and \textit{B. Youssin}, Electron. Res. Announc. Am. Math. Soc. 5, No. 19, 136--145 (1999; Zbl 0956.32009) Full Text: DOI arXiv EuDML
Parusiński, Adam Lipschitz stratification of subanalytic sets. (English) Zbl 0819.32007 Ann. Sci. Éc. Norm. Supér. (4) 27, No. 6, 661-696 (1994). Reviewer: Z.Denkowska (Angers) MSC: 32B20 32B25 PDFBibTeX XMLCite \textit{A. Parusiński}, Ann. Sci. Éc. Norm. Supér. (4) 27, No. 6, 661--696 (1994; Zbl 0819.32007) Full Text: DOI Numdam EuDML
Łojasiewicz, Stanisław On semi- and subanalytic geometry. (Sur la géométrie semi- et sous-analytique.) (French) Zbl 0803.32002 Ann. Inst. Fourier 43, No. 5, 1575-1595 (1993). Reviewer: S.Łojasiewicz (Cracow) MSC: 32B20 32B25 PDFBibTeX XMLCite \textit{S. Łojasiewicz}, Ann. Inst. Fourier 43, No. 5, 1575--1595 (1993; Zbl 0803.32002) Full Text: DOI Numdam EuDML
Ohsawa, Takeo On the \(L^ 2\) cohomology of complex spaces. (English) Zbl 0759.58002 Math. Z. 209, No. 4, 519-530 (1992). Reviewer: T.Ohsawa MSC: 58A12 14F25 14F40 PDFBibTeX XMLCite \textit{T. Ohsawa}, Math. Z. 209, No. 4, 519--530 (1992; Zbl 0759.58002) Full Text: DOI EuDML