Formal properties in small codimension

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• 作者：Jorge Caravantes (1)
  Nicolas Perrin (2)
  
• 关键词：14M07 ; 14M17 ; 14B10
• 刊名：Collectanea Mathematica
• 出版年：2014
• 出版时间：May 2014
• 年：2014
• 卷：65
• 期：2
• 页码：251-256
• 全文大小：136 KB
• 参考文献：1. B膬descu, L.: Algebraic Barth-Lefschetz theorems. Nagoya Math. J. 142, 17鈥?8 (1996)
  2. B膬descu, L.: Projective geometry and formal geometry. Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne, vol. 65. Birkh盲user, Basel (2004). ISBN: 3-7643-7123-4
  3. B膬descu, L.: On a connectedness theorem of Debarre. Contemporary Math. 496, 11鈥?0 (2009) CrossRef
  4. Bonacini, P., Del Padrone, A., Nesci, M.: On a theorem of Faltings on formal functions. Le Matematiche (Catania) 62(I), 95鈥?04 (2007)
  5. Brion, M.: Lectures on the geometry of flag varieties. Topics in cohomological studies of algebraic varieties, Trends Math, pp. 33鈥?5. Birkhuser-Verlag, Basel (2005) CrossRef
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  8. Faltings, G.: A contribution to the theory of formal meromorphic functions. Nagoya Math. J. 77, 99鈥?06 (1980)
  9. Faltings, G.: Formale Geometrie und homogene R盲ume. Invent. Math. 64, 123鈥?65 (1981) CrossRef
  10. Fulton, W., Lazarsfeld, R.: Connectivity and its applications in algebraic geometry. In: Libgober, A., Wagreich, P. (eds.) Algebraic geometry (Chicago, Ill., 1980). Lecture notes in mathematics, vol. 862. pp. 26鈥?2 Springer, Berlin (1981)
  11. Hironaka, H., Matsumura, H.: Formal functions and formal embeddings. J. Math. Soc. Japan 20, 52鈥?2 (1968) CrossRef
  12. Perrin, N.: Small codimension subvarieties in homogeneous spaces. Indag. Math. (N.S.) 20(4), 557鈥?81 (2009) CrossRef
  13. Springer, T.A.: Linear algebraic groups. Progress in mathematics. Birkhuser, Boston (1981)
  
• 作者单位：Jorge Caravantes (1)
  Nicolas Perrin (2)
  
  1. Departamento de 脕lgebra, Facultad de Matem谩ticas, Plaza de Ciencias, Universidad Complutense de Madrid, 28040, Madrid, Spain
  2. Mathematisches Institut, Heinrich-Heine-Universit盲t, 40204, D眉sseldorf, Germany
  
• ISSN：2038-4815

文摘

In this note we extend connectedness results to formal properties of inverse images under proper maps of Schubert varieties and of the diagonal in products of projective rational homogeneous spaces.