Relations in the canonical algebras on surfaces
Rendiconti del Seminario Matematico della Università di Padova (2008)
- Volume: 120, page 227-261
- ISSN: 0041-8994
Access Full Article
topHow to cite
topKonno, Kazuhiro. "Relations in the canonical algebras on surfaces." Rendiconti del Seminario Matematico della Università di Padova 120 (2008): 227-261. <http://eudml.org/doc/108744>.
@article{Konno2008,
author = {Konno, Kazuhiro},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {227-261},
publisher = {Seminario Matematico of the University of Padua},
title = {Relations in the canonical algebras on surfaces},
url = {http://eudml.org/doc/108744},
volume = {120},
year = {2008},
}
TY - JOUR
AU - Konno, Kazuhiro
TI - Relations in the canonical algebras on surfaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2008
PB - Seminario Matematico of the University of Padua
VL - 120
SP - 227
EP - 261
LA - eng
UR - http://eudml.org/doc/108744
ER -
References
top- [1] F. CATANESE, Surfaces with K2 = pg = 1 and their period mapping, Algebraic geometry (Proc. Summer Meeting, Univ. Copenhagen, Copenhagen, 1978), pp. 1-29, Lecture Notes in Math., 732, Springer, Berlin, 1979. Zbl0423.14019MR555688
- [2] F. CATANESE, On a class of surfaces of general type, Algebraic Surfaces, CIME 1977, Liguori (1981), pp. 269-284.
- [3] F. CATANESE - C. CILIBERTO, Surfaces with pg = q = 1, Problems in the theory of surfaces and their classification (Cortona, 1988), pp. 49-79, Sympos. Math., XXXII, Academic Press, London, 1991. Zbl0828.14024MR1273372
- [4] C. CILIBERTO, Sul grado dei generatori dell'anello canonico di una superficie di tipo generale, Rend. Sem. Mat. Univ. Politec. Torino, 41:3 (1983/84), pp. 83-111. Zbl0558.14025
- [5] C. CILIBERTO - P. FRANCIA - M. MENDES LOPES, Remarks on the bicanonical map for surfaces of general type, Math. Z., 224 (1997), pp. 137-166. Zbl0871.14011MR1427708
- [6] O. DEBARRE, Inégalités numériques pour les surfaces de type général, Bull. Soc. Math. France, 110 (1982), pp. 319-346. Zbl0543.14026MR688038
- [7] P. FRANCIA, On the base points of the bicanonical system, Problems in the theory of surfaces and their classification (Cortona, 1988), pp. 141-150, Sympos. Math., XXXII, Academic Press, London, 1991. Zbl0828.14023MR1273376
- [8] M. GREEN, The canonical ring of a variety of general type, Duke Math. J., 49 (1982), pp. 1087-1113. Zbl0607.14005MR683012
- [9] M. GREEN, Koszul cohomology and geometry of projective varieties, J. Diff. Geom., 19 (1984), pp. 125-171. Zbl0559.14008MR739785
- [10] E. HORIKAWA, Algebraic surfaces of general type with small c2 1: I, Ann. of Math., 104 (1976), pp. 357-387. Zbl0339.14024MR424831
- [11] E. HORIKAWA, Algebraic surfaces of general type with small c2 1: II, Invent. Math., 37 (1976), pp. 121-155. Zbl0339.14025MR460340
- [12] E. HORIKAWA, Algebraic surfaces of general type with small c2 1: V, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 28 (1981), pp. 745-755. Zbl0505.14028MR656051
- [13] K. KONNO, 1-2-3 theorem for curves on algebraic surface, J. reine. angew. Math., 533 (2001), pp. 171-205. Zbl0965.14004MR1823868
- [14] H. B. LAUFER, Weak simultaneous resolution for deformations of Gorenstein surface singularities, Proc. Symp. Pure Math., 40 (1983), pp. 1-29. Zbl0568.14008MR713236
- [15] H. B. LAUFER, Generation of 4-pluricanonical forms for surface singularities, Amer. J. Math., 109 (1987), pp. 571-589. Zbl0628.14031MR892599
- [16] M. MENDES LOPES, Adjoint systems on surfaces, Bollettino U.M.I. (7), 10-A (1996), pp. 169-179. Zbl0861.14023MR1386254
- [17] M. MENDES LOPES, The degree of the generators of the canonical ring of surfaces of general type with pg = 0, Arch. Math., 69, no. 5 (1997), pp. 435-440. Zbl0921.14024MR1473098
- [18] M. NAGATA, On rational surfaces I, Mem. Coll. Sci. Kyoto Univ. Ser. A, 32 (1960), pp. 351-370. Zbl0100.16703MR126443
- [19] M. REID, Infinitesimal view of extending a hyperplane section - deformation theory and computer algebra, Lect. Notes in Math., 1417, Algebraic Geometry Proceedings, L'Aquila 1988, A. J. Sommese et al., eds. 1990, Springer-Verlag, pp. 214-286. Zbl0714.14010MR1040562
- [20] M. REID, Chapters on Algebraic Surfaces, Complex algebraic geometry (Park City, UT, 1993), pp. 3-159, IAS/Park City Math. Ser., 3, Amer. Math. Soc., Providence, RI, 1997. Zbl0910.14016MR1442522
- [21] M. REID, 1-2-3, unpublished note.
- [22] I. REIDER, Vector bundles of rank 2 and linear systems on algebraic surfaces, Ann. of Math., 127 (1988), pp. 309-316. Zbl0663.14010MR932299
- [23] G. XIAO, Surfaces fibrées en courbes de genre deux, Lecture Notes in Mathematics, 1137, Springer-Verlag, Berlin, 1985. Zbl0579.14028MR872271
- [24] G. XIAO, Degree of the bicanonical map of a surface of general type, Amer. J. Math., 112, no. 5 (1990), pp. 713-736. Zbl0722.14025MR1073006
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.