Examples of threefolds with Kodaira dimension 1 or 2
Alberto Calabri; Masaaki Murakami; Ezio Stagnaro
Rendiconti del Seminario Matematico della Università di Padova (2011)
- Volume: 125, page 15-38
- ISSN: 0041-8994
Access Full Article
topHow to cite
topCalabri, Alberto, Murakami, Masaaki, and Stagnaro, Ezio. "Examples of threefolds with Kodaira dimension 1 or 2." Rendiconti del Seminario Matematico della Università di Padova 125 (2011): 15-38. <http://eudml.org/doc/242795>.
@article{Calabri2011,
author = {Calabri, Alberto, Murakami, Masaaki, Stagnaro, Ezio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {15-38},
publisher = {Seminario Matematico of the University of Padua},
title = {Examples of threefolds with Kodaira dimension 1 or 2},
url = {http://eudml.org/doc/242795},
volume = {125},
year = {2011},
}
TY - JOUR
AU - Calabri, Alberto
AU - Murakami, Masaaki
AU - Stagnaro, Ezio
TI - Examples of threefolds with Kodaira dimension 1 or 2
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2011
PB - Seminario Matematico of the University of Padua
VL - 125
SP - 15
EP - 38
LA - eng
UR - http://eudml.org/doc/242795
ER -
References
top- [B] E. Bombieri, Canonical models of surfaces of general type, Publ. Math. IHES, 42 (1973), pp. 171–219. Zbl0259.14005MR318163
- [CB] F. Catanese - I. Bauer, Topics in the Theory of Algebraic Surfaces: From Enriques' work to recent developments, to appear.
- [Che ] M. Chen, On the -divisor method and its application, J. of Pure and Appl. Algebra, 191 (2004), pp. 143–156. Zbl1049.14034MR2048311
- [Che ] M. Chen, Canonical stability of 3-folds of general type with , Internat. J. of Math., 14, No. 5 (2003), pp. 515–528. Zbl1070.14009MR1993794
- [Che ] M. Chen, A sharp lower bound for the volume of 3-folds of general type, Math. Ann., 337 (2007), pp. 887–908. Zbl1124.14038MR2285742
- [Chi] S. Chiaruttini, A new example of birationality of pluricanonical maps (preprint).
- [CG] S. Chiaruttini - R. Gattazzo, Examples of birationality of pluricanonical maps, Rend. Sem. Mat. Univ. Padova, 107 (2002), pp. 81–94. Zbl1165.14303MR1926202
- [E] F. Enriques, Le Superficie Algebriche, Bologna, N. Zanichelli (1945). MR31770
- [F] A. R. Iano-Fletcher, Working with weighted complete intersections, Explicit birational geometry of 3-folds, London Math. Soc., Lecture Notes Ser. 281, Cambridge Univ. Press, Cambridge (2000), pp. 101–173. Zbl0960.14027MR1798982
- [FM] O. Fujino - S. Mori, A canonical bundle formula, J. Diff. Geometry, 56 (2000), pp. 167–188. Zbl1032.14014MR1863025
- [HM] C. Hacon - J. McKernan, Boundedness of pluricanonical maps of varieties of general type, Invent. Math., 166 (2006), pp. 1–25. Zbl1121.14011MR2242631
- [K] J. Kollár, Log surfaces of general type; some conjectures, Contemp. Math., Vol. 162 (1994), pp. 261–275. Zbl0860.14014MR1272703
- [KU] T. Katsura - K. Ueno, On Elliptic Surface in Characteristic , Math. Ann., 272 (1985), pp. 291–330. Zbl0553.14019MR799664
- [P] G. Pacienza, On the uniformity of the Iitaka fibration, Math. Res. Lett., 16, no. 4 (2009), pp. 663–681. Zbl1184.14022MR2525032
- [Re] M. Reid, Young Person's Guide to Canonical Singularity, Proc. Algebraic Geometry, Bowdoin 1985, Vol. 46, A.M.S. (1987), pp. 345–414. Zbl0634.14003MR927963
- [Ro] M.C. Ronconi, A Regular Threefold of General Type with and , Bollettino U.M.I. (9), 2 (2009), pp. 607–621. Zbl1184.14069MR2569294
- [S ] E. Stagnaro, Adjoints and pluricanonical adjoints to an algebraic hypersurface, Annali di Mat. Pura ed Appl., 180 (2001), pp. 147–201. Zbl1072.14044MR1847403
- [S ] E. Stagnaro, Threefolds with Kodaira dimension 0 or 3, Bollettino U.M.I. (8), 10-B (2007), pp. 1149–1182. Zbl1193.14052MR2507920
- [Ta] S. Takayama, Pluricanonical systems on algebraic varieties of general type, Invent. Math., 165 (2006), pp. 551–587. Zbl1108.14031MR2242627
- [Ts] H. Tsuji, Pluricanonical systems of projective varieties of general type. I, Osaka J. Math., 43 (2006), pp. 967–995. and II., Osaka J. Math., 44 (2007), pp. 723–764. Zbl1186.14043MR2303558
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.