Stavros Papadakis

Papers

Gorenstein rings and Kustin--Miller unprojection, Univ. of Warwick
PhD thesis, Aug 2001, pp. vi + 73 pdf file

Kustin-Miller unprojection with complexes, J. Algebraic Geometry
13 (2004) 249-268, arXiv preprint arXiv:math/0111195v1 [math.AG]

(joint with Miles Reid) Kustin-Miller unprojection without complexes,
J. Algebraic Geometry 13 (2004) 563-577, arXiv preprint arXiv:math/0011094v2 [math.AG]

Remarks on Type III unprojection, Communications in Algebra
34 (2006) 313-321, arXiv preprint arXiv:math/0501535v1 [math.AG]

Type II unprojection, J. Algebraic Geometry 15 (2006) 399-414,
arXiv preprint arXiv:math/0501534v1 [math.AG]

Towards a general theory of unprojection, J. of Mathematics of Kyoto Univ.
47 (2007), 579-598, arXiv preprint arXiv:math/0608158v1 [math.AG]

The equations of type II_1 unprojection, J. Pure Appl. Algebra 212 (2008), 2194-2208,
preprint

(joint with Jorge Neves) A construction of numerical Campedelli surfaces with torsion \Z/6.
Trans. Amer. Math. Soc. 361 (2009), 4999--5021, arXiv preprint arXiv:0707.0244v1 [math.AG]

(joint with Jorge Neves) Parallel Kustin-Miller unprojection with an application
to Calabi-Yau geometry, arXiv preprint arXiv:0903.1335v2 [math.AG], 25 pages

(joint with Christian Liedtke) Birational modifications of surfaces via unprojections,
arXiv preprint arXiv:0904.4204v1 [math.AG], 11 pages

(joint with Janko Boehm) Stellar subdivisions and Stanley-Reisner rings of Gorenstein complexes,
arXiv preprint arXiv:0912.2151v1 [math.AC], 15 pages

(joint with Janko Boehm) On the structure of Stanley-Reisner rings associated to cyclic polytopes,
arXiv preprint arXiv:0912.2152v1 [math.AC] , 15 pages





Miscellaneous

Macaulay 2 computer algebra code for the paper: The equations of type II_1 unprojection

Contact address:
Departamento de Matematica/CAMGSD
Insituto Superior Tecnico
Universidade Tecnica de Lisboa
Av. Rovisco Pais
1049-001 Lisboa
Portugal
Email: papadak@math.ist.utl.pt