Starčič, T. On normal forms of complex points of small \(\mathcal{C}^2\)-perturbations of real 4-manifolds embedded in a complex 3-manifold. (English) Zbl 1510.32088 Complex Var. Elliptic Equ. 66, No. 3, 376-436 (2021). Reviewer: Masoud Sabzevari (Shahr-e Kord) MSC: 32V40 58K50 PDFBibTeX XMLCite \textit{T. Starčič}, Complex Var. Elliptic Equ. 66, No. 3, 376--436 (2021; Zbl 1510.32088) Full Text: DOI arXiv
Lebl, Jiří; Noell, Alan; Ravisankar, Sivaguru On CR singular CR images. (English) Zbl 1495.32091 Int. J. Math. 32, No. 13, Article ID 2150090, 26 p. (2021). Reviewer: Francine Meylan (Lausanne) MSC: 32V05 32V30 PDFBibTeX XMLCite \textit{J. Lebl} et al., Int. J. Math. 32, No. 13, Article ID 2150090, 26 p. (2021; Zbl 1495.32091) Full Text: DOI arXiv
Lebl, Jiří; Noell, Alan; Ravisankar, Sivaguru A CR singular analogue of Severi’s theorem. (English) Zbl 1496.32055 Math. Z. 299, No. 3-4, 1607-1629 (2021). Reviewer: Steve Deckelman (Menomonie) MSC: 32V40 32V25 32E05 PDFBibTeX XMLCite \textit{J. Lebl} et al., Math. Z. 299, No. 3--4, 1607--1629 (2021; Zbl 1496.32055) Full Text: DOI arXiv
Gupta, Purvi; Urbanski Wawrzyniak, Chloe Stability of the hull(s) of an \(n\)-sphere in \(\mathbb{C}^n\). (English) Zbl 1486.32005 Adv. Math. 392, Article ID 107989, 33 p. (2021). MSC: 32E20 32V40 PDFBibTeX XMLCite \textit{P. Gupta} and \textit{C. Urbanski Wawrzyniak}, Adv. Math. 392, Article ID 107989, 33 p. (2021; Zbl 1486.32005) Full Text: DOI arXiv
Lamel, Bernhard; Lebl, Jiří Segre nondegenerate totally real subvarieties. (English) Zbl 1481.32018 Math. Z. 299, No. 1-2, 163-181 (2021). Reviewer: Francine Meylan (Lausanne) MSC: 32V05 32V40 14B05 14P15 PDFBibTeX XMLCite \textit{B. Lamel} and \textit{J. Lebl}, Math. Z. 299, No. 1--2, 163--181 (2021; Zbl 1481.32018) Full Text: DOI arXiv
Lebl, Jiří; Noell, Alan; Ravisankar, Sivaguru On lewy extension for smooth hypersurfaces in \(\mathbb {C}^n \times \mathbb {R}\). (English) Zbl 1435.32050 Trans. Am. Math. Soc. 371, No. 9, 6581-6603 (2019). Reviewer: Michael Reiter (Wien) MSC: 32V40 32V25 PDFBibTeX XMLCite \textit{J. Lebl} et al., Trans. Am. Math. Soc. 371, No. 9, 6581--6603 (2019; Zbl 1435.32050) Full Text: DOI arXiv
Fang, Hanlong; Huang, Xiaojun Flattening a non-degenerate CR singular point of real codimension two. (English) Zbl 1392.32018 Geom. Funct. Anal. 28, No. 2, 289-333 (2018). MSC: 32V40 PDFBibTeX XMLCite \textit{H. Fang} and \textit{X. Huang}, Geom. Funct. Anal. 28, No. 2, 289--333 (2018; Zbl 1392.32018) Full Text: DOI arXiv
Slapar, Marko; Starčič, Tadej On normal forms of complex points of codimension 2 submanifolds. (English) Zbl 1454.32028 J. Math. Anal. Appl. 461, No. 2, 1308-1326 (2018). MSC: 32V40 15A21 53C40 32V30 PDFBibTeX XMLCite \textit{M. Slapar} and \textit{T. Starčič}, J. Math. Anal. Appl. 461, No. 2, 1308--1326 (2018; Zbl 1454.32028) Full Text: DOI arXiv
Lebl, Jiří; Noell, Alan; Ravisankar, Sivaguru Codimension two CR singular submanifolds and extensions of CR functions. (English) Zbl 1382.32022 J. Geom. Anal. 27, No. 3, 2453-2471 (2017). Reviewer: Steve Deckelman (Menomonie) MSC: 32V40 32V25 PDFBibTeX XMLCite \textit{J. Lebl} et al., J. Geom. Anal. 27, No. 3, 2453--2471 (2017; Zbl 1382.32022) Full Text: DOI arXiv
Huang, Xiaojun Geometric and analytic problems for a real submanifold in \(\mathbb{C}^n\) with CR singularities. (English) Zbl 1375.32059 Sci. China, Math. 60, No. 6, 995-1004 (2017). MSC: 32V40 32E05 32-02 PDFBibTeX XMLCite \textit{X. Huang}, Sci. China, Math. 60, No. 6, 995--1004 (2017; Zbl 1375.32059) Full Text: DOI
Huang, Xiaojun; Yin, Wanke Flattening of CR singular points and analyticity of the local hull of holomorphy. II. (English) Zbl 1366.32012 Adv. Math. 308, 1009-1073 (2017). Reviewer: Steve Deckelman (Menomonie) MSC: 32V40 32E05 PDFBibTeX XMLCite \textit{X. Huang} and \textit{W. Yin}, Adv. Math. 308, 1009--1073 (2017; Zbl 1366.32012) Full Text: DOI arXiv
Gong, Xianghong; Stolovitch, Laurent Real submanifolds of maximum complex tangent space at a CR singular point. I. (English) Zbl 1358.32018 Invent. Math. 206, No. 2, 293-377 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 32V40 32S05 PDFBibTeX XMLCite \textit{X. Gong} and \textit{L. Stolovitch}, Invent. Math. 206, No. 2, 293--377 (2016; Zbl 1358.32018) Full Text: DOI arXiv
Huang, Xiaojun; Yin, Wanke Flattening of CR singular points and analyticity of the local hull of holomorphy. I. (English) Zbl 1343.32029 Math. Ann. 365, No. 1-2, 381-399 (2016). MSC: 32V40 32E05 PDFBibTeX XMLCite \textit{X. Huang} and \textit{W. Yin}, Math. Ann. 365, No. 1--2, 381--399 (2016; Zbl 1343.32029) Full Text: DOI
Shafikov, Rasul; Sukhov, Alexandre Polynomially convex hulls of singular real manifolds. (English) Zbl 1345.32009 Trans. Am. Math. Soc. 368, No. 4, 2469-2496 (2016). Reviewer: Jasna Prezelj (Koper, Ljubljana) MSC: 32E20 32E30 32V40 53D12 PDFBibTeX XMLCite \textit{R. Shafikov} and \textit{A. Sukhov}, Trans. Am. Math. Soc. 368, No. 4, 2469--2496 (2016; Zbl 1345.32009) Full Text: DOI arXiv
Alarcón, Antonio; Forstnerič, Franc Null holomorphic curves in \(\mathbb C^3\) and applications to the conformal Calabi-Yau problem. (English) Zbl 1338.53085 Fornæss, John Erik (ed.) et al., Complex geometry and dynamics. The Abel symposium 2013, Trondheim, Norway, July 2–5, 2013. Cham: Springer (ISBN 978-3-319-20336-2/hbk; 978-3-319-20337-9/ebook). Abel Symposia 10, 101-121 (2015). MSC: 53C42 53-02 PDFBibTeX XMLCite \textit{A. Alarcón} and \textit{F. Forstnerič}, Abel Symp. 10, 101--121 (2015; Zbl 1338.53085) Full Text: DOI
Bharali, Gautam The local polynomial hull near a degenerate CR singularity: Bishop discs revisited. (English) Zbl 1251.32010 Math. Z. 271, No. 3-4, 1043-1063 (2012). Reviewer: Zywomir Dinew (Kraków) MSC: 32E20 46J10 30E10 PDFBibTeX XMLCite \textit{G. Bharali}, Math. Z. 271, No. 3--4, 1043--1063 (2012; Zbl 1251.32010) Full Text: DOI arXiv
Gaussier, Hervé; Sukhov, Alexandre Levi-flat filling of real two-spheres in symplectic manifolds. I. (English. French summary) Zbl 1242.53107 Ann. Fac. Sci. Toulouse, Math. (6) 20, No. 3, 515-539 (2011). Reviewer: Andrea Spiro (Camerino) MSC: 53D35 53C12 32Q65 PDFBibTeX XMLCite \textit{H. Gaussier} and \textit{A. Sukhov}, Ann. Fac. Sci. Toulouse, Math. (6) 20, No. 3, 515--539 (2011; Zbl 1242.53107) Full Text: DOI arXiv EuDML
Kang, Hyunsuk; Stensønes, Berit Envelope of holomorphy of certain two-manifolds in \(\mathbb C^{2}\). (English) Zbl 1220.32001 Int. J. Math. 22, No. 5, 713-730 (2011). Reviewer: Sergey M. Ivashkovich (Villeneuve d’Ascq) MSC: 32D10 PDFBibTeX XMLCite \textit{H. Kang} and \textit{B. Stensønes}, Int. J. Math. 22, No. 5, 713--730 (2011; Zbl 1220.32001) Full Text: DOI
Huang, Xiaojun; Yin, Wanke Equivalence problem for Bishop surfaces. (English) Zbl 1193.32020 Sci. China, Math. 53, No. 3, 687-700 (2010). MSC: 32V40 PDFBibTeX XMLCite \textit{X. Huang} and \textit{W. Yin}, Sci. China, Math. 53, No. 3, 687--700 (2010; Zbl 1193.32020) Full Text: DOI
Huang, Xiaojun; Yin, Wanke A Bishop surface with a vanishing Bishop invariant. (English) Zbl 1171.53045 Invent. Math. 176, No. 3, 461-520 (2009). Reviewer: Ülo Lumiste (Tartu) MSC: 53C56 53C40 PDFBibTeX XMLCite \textit{X. Huang} and \textit{W. Yin}, Invent. Math. 176, No. 3, 461--520 (2009; Zbl 1171.53045) Full Text: DOI arXiv
Sukhov, A.; Tumanov, A. Pseudoholomorphic discs near an elliptic point. (English) Zbl 1351.32038 Proc. Steklov Inst. Math. 253, 275-282 (2006) and Tr. Mat. Inst. Steklova 253, 296-303 (2006). MSC: 32Q65 PDFBibTeX XMLCite \textit{A. Sukhov} and \textit{A. Tumanov}, Proc. Steklov Inst. Math. 253, 275--282 (2006; Zbl 1351.32038) Full Text: DOI arXiv
Forstnerič, Franc Stein domains in complex surfaces. (English) Zbl 1039.32013 J. Geom. Anal. 13, No. 1, 77-94 (2003). Reviewer: Eugen Pascu (Montreal) MSC: 32E10 32Q28 32Q55 32V40 PDFBibTeX XMLCite \textit{F. Forstnerič}, J. Geom. Anal. 13, No. 1, 77--94 (2003; Zbl 1039.32013) Full Text: DOI
Straube, Emil J.; Sucheston, Marcel K. Levi foliations in pseudoconvex boundaries and vector fields that commute approximately with \(\bar\partial\). (English) Zbl 1016.32019 Trans. Am. Math. Soc. 355, No. 1, 143-154 (2003). Reviewer: Mauro Nacinovich (Roma) MSC: 32W05 32T99 53C12 PDFBibTeX XMLCite \textit{E. J. Straube} and \textit{M. K. Sucheston}, Trans. Am. Math. Soc. 355, No. 1, 143--154 (2003; Zbl 1016.32019) Full Text: DOI arXiv
Baouendi, M. S.; Ebenfeldt, P.; Rothschild, Linda Preiss Local geometric properties of real submanifolds in complex space. (English) Zbl 0955.32027 Bull. Am. Math. Soc., New Ser. 37, No. 3, 309-336 (2000). Reviewer: Eugen Pascu (Montreal) MSC: 32V40 32V35 32V25 32H02 32V15 32T15 32-02 PDFBibTeX XMLCite \textit{M. S. Baouendi} et al., Bull. Am. Math. Soc., New Ser. 37, No. 3, 309--336 (2000; Zbl 0955.32027) Full Text: DOI
Mohnke, Klaus On fillings by holomorphic discs of the levels of a Morse function. (English) Zbl 0928.32007 Differ. Geom. Appl. 10, No. 1, 27-42 (1999). Reviewer: K.Mohnke (Siegen) MSC: 32E20 53C15 PDFBibTeX XMLCite \textit{K. Mohnke}, Differ. Geom. Appl. 10, No. 1, 27--42 (1999; Zbl 0928.32007) Full Text: DOI
Huang, Xiaojun On an \(n\)-manifold in \({\mathbf{C}}^{n}\) near an elliptic complex tangent. (English) Zbl 0904.32016 J. Am. Math. Soc. 11, No. 3, 669-692 (1998). Reviewer: X.Huang (New Brunswick, New Jersey) MSC: 32V40 32D05 PDFBibTeX XMLCite \textit{X. Huang}, J. Am. Math. Soc. 11, No. 3, 669--692 (1998; Zbl 0904.32016) Full Text: DOI
Huang, Xiaojun; Krantz, Steven G. On a problem of Moser. (English) Zbl 0846.32010 Duke Math. J. 78, No. 1, 213-228 (1995). Reviewer: K.Spallek (Bochum) MSC: 32D10 32D05 32E10 PDFBibTeX XMLCite \textit{X. Huang} and \textit{S. G. Krantz}, Duke Math. J. 78, No. 1, 213--228 (1995; Zbl 0846.32010) Full Text: DOI
Forstnerič, Franc Complex tangents of real surfaces in complex surfaces. (English) Zbl 0761.53032 Duke Math. J. 67, No. 2, 353-376 (1992). Reviewer: J.Hebda (St.Louis) MSC: 53C42 32Q99 53C56 PDFBibTeX XMLCite \textit{F. Forstnerič}, Duke Math. J. 67, No. 2, 353--376 (1992; Zbl 0761.53032) Full Text: DOI
Forstnerič, F.; Stout, E. L. A new class of polynomially convex sets. (English) Zbl 0734.32006 Ark. Mat. 29, No. 1, 51-62 (1991). Reviewer: L.Gruman (Montesquiou) MSC: 32E20 PDFBibTeX XMLCite \textit{F. Forstnerič} and \textit{E. L. Stout}, Ark. Mat. 29, No. 1, 51--62 (1991; Zbl 0734.32006) Full Text: DOI
Amar, E. On the extension of CR-functions. (English) Zbl 0721.32008 Math. Z. 206, No. 1, 89-102 (1991). Reviewer: M.Marinov (Sofia) MSC: 32V05 32V40 PDFBibTeX XMLCite \textit{E. Amar}, Math. Z. 206, No. 1, 89--102 (1991; Zbl 0721.32008) Full Text: DOI EuDML
O’Farrell, A. G.; Preskenis, K. J. Uniform approximation by polynomials in two functions. (English) Zbl 0689.30005 Math. Ann. 284, No. 4, 529-535 (1989). Reviewer: P.Bojadziev MSC: 30B60 30E10 PDFBibTeX XMLCite \textit{A. G. O'Farrell} and \textit{K. J. Preskenis}, Math. Ann. 284, No. 4, 529--535 (1989; Zbl 0689.30005) Full Text: DOI EuDML
Bedford, Eric Locally determined envelopes of holomorphy in \({\mathbb{C}}\) 2. (English) Zbl 0653.32010 Math. Ann. 281, No. 3, 419-429 (1988). Reviewer: M.Jarnicki MSC: 32D10 PDFBibTeX XMLCite \textit{E. Bedford}, Math. Ann. 281, No. 3, 419--429 (1988; Zbl 0653.32010) Full Text: DOI EuDML
Forstnerič, Franc Analytic disks with boundaries in a maximal real submanifold of \({\mathbb C}^ 2\). (English) Zbl 0583.32038 Ann. Inst. Fourier 37, No. 1, 1-44 (1987). MSC: 32B15 32V40 32G10 32A40 32E20 PDFBibTeX XMLCite \textit{F. Forstnerič}, Ann. Inst. Fourier 37, No. 1, 1--44 (1987; Zbl 0583.32038) Full Text: DOI Numdam EuDML
Kenig, Carlos E.; Webster, Sidney M. On the hull of holomorphy of an n-manifold in \({\mathbb{C}}^ n\). (English) Zbl 0558.32006 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 261-280 (1984). Reviewer: E.Bedford MSC: 32V40 32G07 32D10 PDFBibTeX XMLCite \textit{C. E. Kenig} and \textit{S. M. Webster}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 11, 261--280 (1984; Zbl 0558.32006) Full Text: Numdam EuDML
Moser, Jürgen K.; Webster, Sidney M. Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations. (English) Zbl 0519.32015 Acta Math. 150, 255-296 (1983). MSC: 32V40 32C05 32H99 PDFBibTeX XMLCite \textit{J. K. Moser} and \textit{S. M. Webster}, Acta Math. 150, 255--296 (1983; Zbl 0519.32015) Full Text: DOI