A modification of the Bloom–Graham Theorem: the introduction of weights in the complex tangent space
HTML articles powered by AMS MathViewer
- by
Mariya Aleksandrovna Stepanova
Translated by: Christopher D. Hollings - Trans. Moscow Math. Soc. 2018, 201-208
- DOI: https://doi.org/10.1090/mosc/282
- Published electronically: November 29, 2018
- PDF | Request permission
References
- Thomas Bloom and Ian Graham, On “type” conditions for generic real submanifolds of $\textbf {C}^{n}$, Invent. Math. 40 (1977), no. 3, 217–243. MR 589930, DOI 10.1007/BF01425740
- M. Salah Baouendi, Peter Ebenfelt, and Linda Preiss Rothschild, Real submanifolds in complex space and their mappings, Princeton Mathematical Series, vol. 47, Princeton University Press, Princeton, NJ, 1999. MR 1668103, DOI 10.1515/9781400883967
- Valeriĭ K. Beloshapka, Automorphisms of degenerate hypersurfaces in $\textbf {C}^2$ and a dimension conjecture, Russian J. Math. Phys. 4 (1996), no. 3, 393–396. MR 1443181
- A. E. Ershova, Automorphisms of 2-nondegenerate hypersurfaces in $\Bbb C^3$, Mat. Zametki 69 (2001), no. 2, 214–222 (Russian, with Russian summary); English transl., Math. Notes 69 (2001), no. 1-2, 188–195. MR 1830221, DOI 10.1023/A:1002820202041
- Martin Kolar, Francine Meylan, and Dmitri Zaitsev, Chern-Moser operators and polynomial models in CR geometry, Adv. Math. 263 (2014), 321–356. MR 3239141, DOI 10.1016/j.aim.2014.06.017
- David Catlin, Boundary invariants of pseudoconvex domains, Ann. of Math. (2) 120 (1984), no. 3, 529–586. MR 769163, DOI 10.2307/1971087
- David Catlin, Subelliptic estimates for the $\overline \partial$-Neumann problem on pseudoconvex domains, Ann. of Math. (2) 126 (1987), no. 1, 131–191. MR 898054, DOI 10.2307/1971347
- V. K. Beloshapka, A universal model for a real submanifold, Mat. Zametki 75 (2004), no. 4, 507–522 (Russian, with Russian summary); English transl., Math. Notes 75 (2004), no. 3-4, 475–488. MR 2068283, DOI 10.1023/B:MATN.0000023331.50692.87
Bibliographic Information
- Mariya Aleksandrovna Stepanova
- Affiliation: Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
- Email: step_masha@mail.ru
- Published electronically: November 29, 2018
- Additional Notes: This work was completed with the financial support of RNF grant 18-41-05003.
- © Copyright 2018 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2018, 201-208
- MSC (2010): Primary 32C05
- DOI: https://doi.org/10.1090/mosc/282
- MathSciNet review: 3881465