@article{RSMUP_2008__120__227_0, author = {Konno, Kazuhiro}, title = {Relations in the canonical algebras on surfaces}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {227--261}, publisher = {Seminario Matematico of the University of Padua}, volume = {120}, year = {2008}, mrnumber = {2492659}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2008__120__227_0/} }
TY - JOUR AU - Konno, Kazuhiro TI - Relations in the canonical algebras on surfaces JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2008 SP - 227 EP - 261 VL - 120 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2008__120__227_0/ LA - en ID - RSMUP_2008__120__227_0 ER -
%0 Journal Article %A Konno, Kazuhiro %T Relations in the canonical algebras on surfaces %J Rendiconti del Seminario Matematico della Università di Padova %D 2008 %P 227-261 %V 120 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2008__120__227_0/ %G en %F RSMUP_2008__120__227_0
Konno, Kazuhiro. Relations in the canonical algebras on surfaces. Rendiconti del Seminario Matematico della Università di Padova, Tome 120 (2008), pp. 227-261. http://www.numdam.org/item/RSMUP_2008__120__227_0/
[1] 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. | MR | Zbl
,[2] On a class of surfaces of general type, Algebraic Surfaces, CIME 1977, Liguori (1981), pp. 269-284.
,[3] 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. | MR | Zbl
- ,[4] 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. | Zbl
,[5] Remarks on the bicanonical map for surfaces of general type, Math. Z., 224 (1997), pp. 137-166. | MR | Zbl
- - ,[6] Inégalités numériques pour les surfaces de type général, Bull. Soc. Math. France, 110 (1982), pp. 319-346. | Numdam | MR | Zbl
,[7] 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. | MR | Zbl
,[8] The canonical ring of a variety of general type, Duke Math. J., 49 (1982), pp. 1087-1113. | MR | Zbl
,[9] Koszul cohomology and geometry of projective varieties, J. Diff. Geom., 19 (1984), pp. 125-171. | MR | Zbl
,[10] Algebraic surfaces of general type with small c2 1: I, Ann. of Math., 104 (1976), pp. 357-387. | MR | Zbl
,[11] Algebraic surfaces of general type with small c2 1: II, Invent. Math., 37 (1976), pp. 121-155. | MR | Zbl
,[12] Algebraic surfaces of general type with small c2 1: V, J. Fac. Sci. Univ. Tokyo Sect. IA Math., 28 (1981), pp. 745-755. | MR | Zbl
,[13] 1-2-3 theorem for curves on algebraic surface, J. reine. angew. Math., 533 (2001), pp. 171-205. | MR | Zbl
,[14] Weak simultaneous resolution for deformations of Gorenstein surface singularities, Proc. Symp. Pure Math., 40 (1983), pp. 1-29. | MR | Zbl
,[15] Generation of 4-pluricanonical forms for surface singularities, Amer. J. Math., 109 (1987), pp. 571-589. | MR | Zbl
,[16] Adjoint systems on surfaces, Bollettino U.M.I. (7), 10-A (1996), pp. 169-179. | MR | Zbl
,[17] 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. | MR | Zbl
,[18] On rational surfaces I, Mem. Coll. Sci. Kyoto Univ. Ser. A, 32 (1960), pp. 351-370. | MR | Zbl
,[19] 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. | MR | Zbl
,[20] 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. | MR | Zbl
,[21] 1-2-3, unpublished note.
,[22] Vector bundles of rank 2 and linear systems on algebraic surfaces, Ann. of Math., 127 (1988), pp. 309-316. | MR | Zbl
,[23] Surfaces fibrées en courbes de genre deux, Lecture Notes in Mathematics, 1137, Springer-Verlag, Berlin, 1985. | MR | Zbl
,[24] Degree of the bicanonical map of a surface of general type, Amer. J. Math., 112, no. 5 (1990), pp. 713-736. | MR | Zbl
,