Keywords
- Homogeneous Polynomial
- Generic Projection
- Homogeneous Element
- Smooth Point
- Local Cohomology
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Andreotti, A.-Nacinovich, M.: Complexes of partial differential operators, Ann. Sc. Normale Sup. Pisa, III, (1976) 553–621.
Arbarello, E.-Sernesi, E.-: Petri's approach to the study of the ideal associated to a special divisor, Inv. Math. 49 (1978), 99–119.
Artin, M.: Some numerical criteria for contractability of curves on algebraic surfaces, Amer. J. Math., 84 (1962), 485–496.
Artin, M.: On isolated rational singularities of surfaces, Amer. J. Math., 88(1966), 129–136.
Barth, W.: Counting singularities of quadratic forms on vector bundles, in "Vector bundles and differential equations", Proc. Conf. Nice 1979, P.M., 7, Birkhäuser, Boston (1980), 1–19.
Bombieri, E.: Canonical models of surfaces of general type, Publ. Scient. I.H.E.S. 42, (1973) 171–219.
Catanese, F.: Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications, Inv. Math. 63, (1981) 433–465.
Catanese, F.:Surfaces with K2=pg=1 and their period mapping, in "Algebraic Geometry" Proc. Copenhagen 1978, Springer L.N.M. 732 (1979), 1–26.
Catanese, F.: The moduli and the global period mapping of surfaces with K2=pg=1: a counterexample to the global Torelli problem, Comp. Math. 41, 3, (1980), 401–414.
Catanese, F.: On the moduli spaces of surfaces of general type, to appear in Jour. Diff. Geom.
Catanese,F.:Moduli of surfaces of general type, in "Algebraic Geometry-Open Problems", Proc. Ravello 1982, Springer L.N.M. 997 (1983),90–112.
Catanese, F.-Debarre, O.: Surfaces with K2=2, pg=1, q=0, to appear
Ciliberto, C.: Canonical surfaces with pg=pa=4 and K2=5,...,10, Duke Math. Jour. 48, 1, (1981), 121–157.
Ciliberto, C.: Canonical surfaces with pg=pa=5 and K2=10, Ann. Sc. Normale Sup. Pisa, IX, 2 (1982), 287–336.
Ciliberto, C.: Sul grado dei generatori dell'anello canonico di una superficie di tipo generale, preprint Napoli (1983).
Delorme, C.: Espaces projectifs anisotropes, Bull. Soc. Math. France 103 (1975), 203–223.
Dolgachev, I.: Weighted projective varieties, in "Group actions and vector fields", Proc. Vancouver 1981, Springer L.N.M. 956 (1982), 34–71.
Eisembud, D.: Some directions of recent progress in commutative algebra, in "Algebraic Geometry" ARCATA 1974, Proc. Symp. in Pure Math. 29, A.M.S. (1975), 111–128.
Elkik, R.: Singularites rationelles et deformations, Inv. Math., 47 (1978) 139–147.
Enriques, F.: Le superficie algebriche, Zanichelli, Bologna (1949).
Francia, P.: Sui punti base del sistema bicanonico, manuscript (1983).
Grothendieck, A.-(Dieudonné, J.): E.G.A. III Etude cohomologique des faisceaux coherents, Publ. Math. I.H.E.S. 11
Hartshorne, R.: Algebraic Geometry, Springer G.T.M. 52 (1977).
Horikawa, E.: Algebraic surfaces of general type II, Inv. Math. 37 (1976), 121–155.
Jacobson, N.: Basic algebra I, Freeman and Co., S. Francisco (1974).
Kodaira, K.: On characteristic systems of families of surfaces with ordinary singularities in a projective space, Amer. J. Math., 87 (1965), 227–256.
Mumford, D.: The canonical ring of an algebraic surface, Annals of Math., 76 (1962), 612–615.
Mumford, D.: Pathologies III, Amer. J. Math., 89 (1967), 94–104.
Ramanujam, C.P.: Remarks on the Kodaira vanishing theorem, Jour. Indian Math. Soc., 36 (1972) 41–51, supplemented ibidem vol. 38 (1974), 121–124.
Reid, M.: Canonical 3-folds, in "Journées de géométrie algébrique" Angers 1979, Sijthoff & Noordhoff (1980), 273–310.
Sakai, F.: Anticanonical models of rational surfaces, preprint (1983).
Sernesi, E.: L'unirazionalità della varietà dei moduli delle curve di genere dodici, Ann. Sc. Normale Sup. Pisa, 8(1981), 405–439.
Serre, J.P.: Faisceaux algebriques coherents, Annals of Math., 61 (1955), 197–278.
Wilson, P.M.H.: On blowing up conductor ideals, Math. Proc. Camb. Phil. Soc., 83 (1978), 445–450.
Zariski, O.: The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface, Annals of Math., 76 (1962), 550–612.
Zariski, O.-Samuel, P.: Commutative algebra II, Van Nostrand, Princeton (1960), reprinted by Springer, G.T.M. 29.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Catanese, F. (1984). Commutative algebra methods and equations of regular surfaces. In: Bădescu, L., Popescu, D. (eds) Algebraic Geometry Bucharest 1982. Lecture Notes in Mathematics, vol 1056. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071770
Download citation
DOI: https://doi.org/10.1007/BFb0071770
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-12930-1
Online ISBN: 978-3-540-38811-1
eBook Packages: Springer Book Archive
