On Even surfaces of general type with K 2 = 8 , p g = 4 , q = 0

Paolo Antonio Oliverio

Rendiconti del Seminario Matematico della Università di Padova (2005)

  • Volume: 113, page 1-14
  • ISSN: 0041-8994

How to cite

top

Oliverio, Paolo Antonio. "On Even surfaces of general type with $K^2=8, p_g=4, q=0$." Rendiconti del Seminario Matematico della Università di Padova 113 (2005): 1-14. <http://eudml.org/doc/108656>.

@article{Oliverio2005,
author = {Oliverio, Paolo Antonio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {1-14},
publisher = {Seminario Matematico of the University of Padua},
title = {On Even surfaces of general type with $K^2=8, p_g=4, q=0$},
url = {http://eudml.org/doc/108656},
volume = {113},
year = {2005},
}

TY - JOUR
AU - Oliverio, Paolo Antonio
TI - On Even surfaces of general type with $K^2=8, p_g=4, q=0$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2005
PB - Seminario Matematico of the University of Padua
VL - 113
SP - 1
EP - 14
LA - eng
UR - http://eudml.org/doc/108656
ER -

References

top
  1. [Ba] L. BADESCU, Algebraic Surfaces, UTX, Springer-Verlag 2001. Zbl0965.14001MR1805816
  2. [Bo] E. BOMBIERI, Canonical models of surfaces of general type, Publ. Math. IHES, 42 (1973), pp. 171-219. Zbl0259.14005MR318163
  3. [Ca] F. CATANESE, Homological Algebra and Algebraic Surfaces, A.M.S. Proc. Symp. Pure Math., 62, 1 (1997), pp. 3-56. Zbl0937.14024MR1492517
  4. [Ci] C. CILIBERTO, Canonical surfaces with pg = pa = 4 and K2 = 5; . . . ; 10, Duke Math. J. 48, (1981), pp. 1-37. MR610180
  5. [CFM] C. CILIBERTO - P. FRANCIA - M. MENDES LOPES, Remarks on the bicanonical map for surfaces of general type, Math. Zeit 224 (1997), pp. 137-166. Zbl0871.14011MR1427708
  6. [En] F. ENRIQUES, Le Superficie Algebriche, Zanichelli, Bologna (1949). Zbl0036.37102MR31770
  7. [EGA] A. GROTHENDIECK, Elements de géométrie algébrique, Chap II. Publ. Math. de l'IHES 8 (1961). 
  8. [Ho1] E. HORIKAWA, On deformations of quintic surfaces, Invent. Math, 31 (1975), pp. 43-85. Zbl0317.14018
  9. [Ho2] E. HORIKAWA, Deformations of Sextic Surfaces, Topology, 32 (1993), pp. 757-772. Zbl0798.14018MR1241872
  10. [Ho3] E. HORIKAWA, Algebraic surfaces of general type with small c2 1. III, Invent. Math, 47 (1978), pp. 209-248. Zbl0409.14005MR501370
  11. [IF] A.R. IANO-FLECHTER, Working with weighted complete intersections, Explicit birational geometry of 3-folds, A. Corti and M. Reid (editors) Cambridge Univ. Press, 2000. On even surfaces of general type with K2 Zbl0960.14027MR1798982
  12. [Ko] K. KONNO, Even surfaces with pg = 7; q = 0 and K2 = 16, Math. Rep. Kyushu University, 18-1 (1991), pp. 15-41. Zbl0763.14016MR1157326
  13. [Ra1] C. P. RAMANUJAM, Remarks on the Kodaira vanishing theorem, Journal of the Indian Math. Soc., 36 (1972), pp. 41-51. Zbl0276.32018MR330164
  14. [Ra2] C. P. RAMANUJAM, Supplement to the article «Remarks on the Kodaira vanishing theorem», Journal of the Indian Math. Soc., 38 (1974), pp. 121-124. Zbl0368.14005MR393048
  15. [Re] M. REID, Infinitesimal view of extending a hyperplane section, in Hyperplane sections and related topics (L'Aquila 1988), LNM 1417 (1990). Zbl0714.14010
  16. [Sch] F. O. SCHREYER, A standard basis approach to syzygies of canonical curves, J. Reine Angew. Math., 421 (1991), pp. 83-123. Zbl0729.14021MR1129577

NotesEmbed ?

top

You must be logged in to post comments.