Fields of definition of algebraic varieties in characteristic zero

Alexandru Buium

Compositio Mathematica (1987)

  • Volume: 61, Issue: 3, page 339-352
  • ISSN: 0010-437X

How to cite

top

Buium, Alexandru. "Fields of definition of algebraic varieties in characteristic zero." Compositio Mathematica 61.3 (1987): 339-352. <http://eudml.org/doc/89828>.

@article{Buium1987,
author = {Buium, Alexandru},
journal = {Compositio Mathematica},
keywords = {field of definition; derivations; algebraic differential equations without movable singularities; Kodaira-Spencer maps},
language = {eng},
number = {3},
pages = {339-352},
publisher = {Martinus Nijhoff Publishers},
title = {Fields of definition of algebraic varieties in characteristic zero},
url = {http://eudml.org/doc/89828},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Buium, Alexandru
TI - Fields of definition of algebraic varieties in characteristic zero
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 3
SP - 339
EP - 352
LA - eng
KW - field of definition; derivations; algebraic differential equations without movable singularities; Kodaira-Spencer maps
UR - http://eudml.org/doc/89828
ER -

References

top
  1. Buium, A.: Corps différentiels et modules des variétés algébriques. C.R. Acad. Sci. Paris299 (1984) 983-985. Zbl0597.14018MR774684
  2. Grothendieck, A. and Dieudonné, J.: Eléments de Géometrie Algebrique. Publ. Math. IHES, Vol. 32. Zbl0203.23301
  3. Grothendieck, A.: Fondements de la Géometrie Algébrique. Sém. Bourbaki (1957-1962). Zbl0239.14002
  4. Kawamata, Y.: On deformations of compactifiable complex manifolds. Math. Ann.234, 3 (1978) 247-267. Zbl0363.32015MR499279
  5. Kodaira, K. and Spencer, C.C.: On deformations of complex analytic structures, I, II. Ann. of Math.67 (1958) 328-466. Zbl0128.16901MR112154
  6. Kolchin, E.: Differential Algebra and Algebraic Groups. Academic Press, New York (1973). Zbl0264.12102MR568864
  7. Matsuda, M.: First order algebraic differential equations. Lecture Notes in math. 804. Springer (1980). Zbl0447.12014MR576060
  8. Matsumura, H.: Integrable derivations. Nagoya Math. J.87 (1982) 227-244. Zbl0458.13002MR676593
  9. Matsusaka, T.: Algebraic deformations of polarized varieties. Nagoya Math. J.31 (1968) 185-247. Zbl0167.49501MR258827
  10. Rosenlicht, M.: Some basic theorems on algebraic groups. Amer. J. Math.1, 78 (1956) 401-443. Zbl0073.37601MR82183
  11. Seidenberg, A.: Derivations and integral closure. Pacific J. Math.16 (1966) 167-173. Zbl0133.29202MR188247
  12. Viehweg, E.: Weak positivity and the aditivity of the Kodaira dimension, II: the Torelli map. In: Classification of Algebraic and Analytic manifolds. Birkhäuser (1983) 567-584. Zbl0543.14006MR728619

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.