Even canonical surfaces with small K 2 - II

Kazuhiro Konno

Rendiconti del Seminario Matematico della Università di Padova (1995)

  • Volume: 93, page 199-241
  • ISSN: 0041-8994

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Konno, Kazuhiro. "Even canonical surfaces with small $K^2$ - II." Rendiconti del Seminario Matematico della Università di Padova 93 (1995): 199-241. <http://eudml.org/doc/108357>.

@article{Konno1995,
author = {Konno, Kazuhiro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {canonical surfaces; canonical map; canonical divisor; birational map; Reid's conjecture; Del Pezzo surface},
language = {eng},
pages = {199-241},
publisher = {Seminario Matematico of the University of Padua},
title = {Even canonical surfaces with small $K^2$ - II},
url = {http://eudml.org/doc/108357},
volume = {93},
year = {1995},
}

TY - JOUR
AU - Konno, Kazuhiro
TI - Even canonical surfaces with small $K^2$ - II
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1995
PB - Seminario Matematico of the University of Padua
VL - 93
SP - 199
EP - 241
LA - eng
KW - canonical surfaces; canonical map; canonical divisor; birational map; Reid's conjecture; Del Pezzo surface
UR - http://eudml.org/doc/108357
ER -

References

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  1. [1] A. Beauville, L'application canonique pour les surfaces de type général, Invent. Math., 55 (1979), pp. 121-140. Zbl0403.14006MR553705
  2. [2] Del Pezzo, Sulle superficie di ordine n immerse nello spazio di n + 1 dimensioni, Rend Acad. Napoli, (1885). JFM17.0514.01
  3. [3] T. Fujita, On the structure of polarized varieties with Δ-genus zero, J. Fac. Sci. Univ. Tokyo, 22 (1975), pp. 103-115. Zbl0333.14004
  4. [4] T. Fujita, On the structure of polarized manifolds with total deficiency one, I, II and III, J. Math. Soc. Japan, 32 (1980), pp. 709-725; 33 (1981), pp. 415-434; 36 (1984), pp. 75-89. Zbl0474.14018MR589109
  5. [5] T. Fujita, On polarized varieties of small Δ-genera, Tôhoku Math. J., 34 (1982), pp. 319-341. Zbl0489.14002
  6. [6] T. Fujita, Projective varieties of Δ-genus one, in Algebraic and Topological Theories - to the memory of Dr. Takehiko Miyata, pp. 149-175, Kinokuniya Book Store (1985). Zbl0800.14020
  7. [7] J. Harris, Curves in Projective Space, Lecture Notes, LePresses de l'Université de Montreal (1982). Zbl0511.14014MR685427
  8. [8] E. Horikawa, Algebraic surfaces of general type with small c21, I, Ann. Math., 104 (1976), pp. 358-387. Zbl0339.14024MR424831
  9. [9] E. Horikawa, Notes on canonical surfaces, Tôhoku Math. J., 43 (1991), pp. 141-148. Zbl0748.14014MR1088721
  10. [10] K. Konno, Algebraic surfaces of general type with c2 1 = 3pg - 6, Math. Ann., 290 (1991), pp. 77-107. Zbl0711.14021MR1107664
  11. [11] K. Konno, Even surfaces with pg = 7, q = 0 and K2 = 16, Math. Rep. Kyushu Univ., 18 (1991), pp. 15-41. Zbl0763.14016MR1157326
  12. [12] K. Konno, Even canonical surfaces with small K2, I, Nagoya Math. J., 129 (1993), pp. 115-146. Zbl0780.14020MR1210005
  13. [13] M. Nagata, On rational surfaces, I, Mem. Coll. Sci. Univ. Kyoto Ser.A, 32 (1960), pp. 351-370. Zbl0100.16703MR126443
  14. [14] M. Reid, π1 for surface with small K2, Lec. Notes in Math., 732, pp. 534-544Springer (1979). Zbl0423.14021
  15. [15] G. Xiao, Fibered algebraic surfaces with low slope, Math. Ann., 276 (1987), pp. 449-466. Zbl0596.14028MR875340

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