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Akhiezer, Dmitri Naumovich
Statistics Math-Net.Ru
Total publications: 22
Scientific articles: 20
Presentations: 2

Number of views:
This page:3923
Abstract pages:6217
Full texts:2401
References:671
Professor
Doctor of physico-mathematical sciences
Birth date: 29.09.1947
E-mail:
Keywords: complex manifold, algebraic variety, Lie transformation group, algebraic group.
UDC: 519.46, 513.6, 519.4, 515.17
MSC: 32M10, 57E25, 57F20, 14L30, 20G20

Subject:

Lie group actions in complex analysis and algebraic geometry.
   
Main publications:
  1. D. N. Akhiezer, “Invariant meromorphic functions on complex semisimple Lie groups”, Inventiones Math., 65:3 (1981), 325–329  crossref  mathscinet  adsnasa
  2. D. N. Akhiezer, “Equivariant completions of homogeneous algebraic varieties by homogeneous divisors”, Annals of Global Analysis and Geometry, 1:1 (1983), 49–78  crossref  mathscinet  zmath
  3. D. N. Akhiezer, S. G. Gindikin, “On Stein extensions of real symmetric spaces”, Math. Annalen, 286 (1990), 1–12  crossref  mathscinet  zmath
  4. D. N. Akhiezer, “Group actions on the Dolbeault cohomology of homogeneous manifolds”, Math. Zeitschrift, 226:4 (1997), 607–621  crossref  mathscinet  zmath
  5. D. N. Akhiezer, E. B. Vinberg, “Weakly symmetric spaces and spherical varieties”, Transformation Groups, 4:1 (1999), 3–24  crossref  mathscinet  zmath

https://www.mathnet.ru/eng/person13804
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/201604

Publications in Math-Net.Ru Citations
2022
1. Dmitri Akhiezer, Boris Kazarnovskii, “Crofton formulae for products”, Mosc. Math. J., 22:3 (2022),  377–392  mathnet
2017
2. Dmitri Akhiezer, Boris Kazarnovskii, “An estimate for the average number of common zeros of Laplacian eigenfunctions”, Tr. Mosk. Mat. Obs., 78:1 (2017),  145–154  mathnet  elib; Trans. Moscow Math. Soc., 78 (2017), 123–130  scopus 1
2015
3. Dmitri Akhiezer, “On the commutator map for real semisimple Lie algebras”, Mosc. Math. J., 15:4 (2015),  609–613  mathnet  mathscinet  isi 4
2002
4. D. N. Akhiezer, D. I. Panyushev, “Multiplicities in the branching rules and the complexity of homogeneous spaces”, Mosc. Math. J., 2:1 (2002),  17–33  mathnet  mathscinet  zmath  isi 9
1992
5. D. N. Akhiezer, “Equivariant complex extensions of homogeneous spaces”, Mat. Zametki, 51:6 (1992),  3–9  mathnet  mathscinet  zmath; Math. Notes, 51:6 (1992), 535–539  isi
1988
6. D. N. Akhiezer, “On the concept of the rank of a spherical homogeneous space”, Uspekhi Mat. Nauk, 43:5(263) (1988),  175–176  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:5 (1988), 205–206  isi 1
7. D. N. Akhiezer, “On the modality and complexity of actions of reductive groups”, Uspekhi Mat. Nauk, 43:2(260) (1988),  129–130  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:2 (1988), 157–158 5
1986
8. D. N. Akhiezer, “Homogeneous complex manifolds”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 10 (1986),  223–275  mathnet  mathscinet  zmath 1
1985
9. D. N. Akhiezer, “Actions with a finite number of orbits”, Funktsional. Anal. i Prilozhen., 19:1 (1985),  1–5  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:1 (1985), 1–4  isi 26
10. D. N. Akhiezer, “Algebraic groups that are transitive in the complement to a homogeneous hypersurface”, Tr. Mosk. Mat. Obs., 48 (1985),  77–96  mathnet  mathscinet  zmath 1
11. D. N. Akhiezer, “The cancellation problem for compact complex manifolds”, Sibirsk. Mat. Zh., 26:6 (1985),  15–23  mathnet  mathscinet  zmath; Siberian Math. J., 26:6 (1985), 792–798  isi
1984
12. D. N. Akhiezer, “Algebraic varieties that are symmetric in Borel's sense”, Dokl. Akad. Nauk SSSR, 279:1 (1984),  13–16  mathnet  mathscinet  zmath
1979
13. D. N. Akhiezer, “Algebraic groups acting transitively in the complement of a homogeneous hypersurface”, Dokl. Akad. Nauk SSSR, 245:2 (1979),  281–284  mathnet  mathscinet  zmath 1
1977
14. D. N. Akhiezer, “Dense orbits with two ends”, Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977),  308–324  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:2 (1977), 293–307 12
1976
15. D. N. Ahiezer, “The homotopy classification of complex homogeneous spaces”, Tr. Mosk. Mat. Obs., 35 (1976),  3–20  mathnet  mathscinet  zmath 2
1974
16. D. N. Akhiezer, “Compact complex homogeneous spaces with solvable fundamental group”, Izv. Akad. Nauk SSSR Ser. Mat., 38:1 (1974),  59–80  mathnet  mathscinet  zmath; Math. USSR-Izv., 8:1 (1974), 61–83 2
1973
17. D. N. Akhiezer, “Complex homogeneous structures on certain compact manifolds”, Uspekhi Mat. Nauk, 28:5(173) (1973),  229–230  mathnet  mathscinet  zmath
18. D. N. Akhiezer, “Compact complex homogeneous spaces with solvable fundamental group”, Uspekhi Mat. Nauk, 28:3(171) (1973),  167–168  mathnet  mathscinet  zmath 1
1972
19. D. N. Akhiezer, “On the cohomology of compact complex homogeneous spaces. II”, Mat. Sb. (N.S.), 87(129):4 (1972),  587–593  mathnet  mathscinet  zmath; Math. USSR-Sb., 16:4 (1972), 607–614 1
1971
20. D. N. Akhiezer, “Comology of compact complex homogeneous spaces”, Mat. Sb. (N.S.), 84(126):2 (1971),  290–300  mathnet  mathscinet  zmath; Math. USSR-Sb., 13:2 (1971), 285–296 4
2020
21. D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich, L. S. Kazarin, D. A. Leites, A. M. Lukatskii, A. N. Shchetinin, “Arkadii L'vovich Onishchik (obituary)”, Uspekhi Mat. Nauk, 75:4(454) (2020),  195–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 75:4 (2020), 765–777  isi
2003
22. D. N. Akhiezer, È. B. Vinberg, V. V. Gorbatsevich, V. G. Durnev, R. Zulanke, L. S. Kazarin, D. A. Leites, V. V. Serganova, V. M. Tikhomirov, “Arkadii L'vovich Onishchik (on his 70th birthday)”, Uspekhi Mat. Nauk, 58:6(354) (2003),  193–200  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:6 (2003), 1245–1253  isi 1

Presentations in Math-Net.Ru
1. Слабо симметрические пространства и сферические многообразия Штейна
D. N. Akhiezer
Seminar of the Sector 4.1 — Sector of Algebra and Number Theory IITP RAS
October 27, 2010 12:00
2. О собственных числах лапласиана Кокстера
D. N. Akhiezer
Lie groups and invariant theory
March 25, 2009

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