Type II unprojection
Author:
Stavros Argyrios Papadakis
Journal:
J. Algebraic Geom. 15 (2006), 399414
Published electronically:
February 27, 2006
MathSciNet review:
2219843
Fulltext PDF
Abstract 
References 
Additional Information
Abstract: Answering a question of M. Reid, we define and prove the Gorensteiness of the type II unprojection.
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Papadakis S., The relations of type II unprojection, work in progress
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Papadakis S., Remarks on type III unprojection, math.AG/0501535, to appear in Commun. in Algebra, 11 pp.
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Reid M., Examples of type IV unprojection, math.AG/0108037, 16 pp.
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Reid M., Graded Rings and Birational Geometry, in Proc. of algebraic symposium (Kinosaki, Oct 2000), K. Ohno (Ed.) 172, available from www.maths. warwick.ac.uk/~miles/3folds
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 Altinok S., Graded rings corresponding to polarised K3 surfaces and Fano 3folds. Univ. of Warwick Ph.D. thesis, Sept. 1998, 93+ vii pp.
 [ABR]
 Altinok S., Brown G. and Reid M., Fano 3folds, surfaces and graded rings, in Topology and geometry: commemorating SISTAG, Contemp. Math., 314, AMS 2002, 2553 MR 1941620 (2004c:14077)
 [BH]
 Bruns W. and Herzog J., CohenMacaulay rings. Revised edition, Cambridge Studies in Advanced Mathematics 39, CUP 1998 MR 1251956 (95h:13020)
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 Bruns W. and Vetter U., Determinantal rings. Lecture Notes in Math. 1327, Springer 1988 MR 0953963 (89i:13001)
 [BS]
 Buckley A. and Szendroi B., Orbifold RiemannRoch for threefolds with an application to CalabiYau geometry, J. Algebraic Geom. 14 (2005), 601622 MR 2147356
 [Ca]
 Catanese F., Commutative algebra methods and equations of regular surfaces, in Algebraic geometry, Bucharest 1982, Lecture Notes in Math. 1056, Springer 1984, 68111 MR 0749939 (86c:14027)
 [CR]
 Corti A. and Reid M., Weighted Grassmannians, in Algebraic geometry, A volume in memory of Paolo Francia, M. Beltrametti et al. (eds.), de Gruyter 2002, 141163 MR 1954062 (2003m:14076)
 [CPR]
 Corti A., Pukhlikov A. and Reid M., Birationally rigid Fano hypersurfaces, in Explicit birational geometry of 3folds, A. Corti and M. Reid (eds.), CUP 2000, 175258
 [KM]
 Kustin A. and Miller M., Constructing big Gorenstein ideals from small ones. J. Algebra 85 (1983), 303322 MR 0725084 (85f:13014)
 [P]
 Papadakis S., KustinMiller unprojection with complexes, J. Algebraic Geometry 13 (2004), 249268 MR 2047698 (2005d:13025)
 [P2]
 Papadakis S., The relations of type II unprojection, work in progress
 [P3]
 Papadakis S., Remarks on type III unprojection, math.AG/0501535, to appear in Commun. in Algebra, 11 pp.
 [PR]
 Papadakis S. and Reid M., KustinMiller unprojection without complexes, J. Algebraic Geometry 13 (2004), 563577 MR 2047681 (2005j:14068)
 [R]
 Reid M., Examples of type IV unprojection, math.AG/0108037, 16 pp.
 [Ki]
 Reid M., Graded Rings and Birational Geometry, in Proc. of algebraic symposium (Kinosaki, Oct 2000), K. Ohno (Ed.) 172, available from www.maths. warwick.ac.uk/~miles/3folds
Additional Information
Stavros Argyrios Papadakis
Affiliation:
Mathematik und Informatik, Geb. 27, Universitaet des Saarlandes, D66123 Saarbruecken, Germany
Address at time of publication:
Department of Mathematics, University of Crete, Knossos Avenue, GR71409 Heraklion, Greece
Email:
spapad@maths.warwick.ac.uk
DOI:
http://dx.doi.org/10.1090/S1056391106004334
PII:
S 10563911(06)004334
Received by editor(s):
August 10, 2004
Received by editor(s) in revised form:
July 2, 2005
Published electronically:
February 27, 2006
