• D.I. Dais: On the Twelve-Point Theorem for l-Reflexive Polygons, preprint, 2018, pdf file, published in The Electronic Journal of Combinatorics, 26 (2019), no 4., paper 4.29, 75 pp. [MR4028827, Zbl.Math. 07130515]

• D.I. Dais: Toric Log Del Pezzo Surfaces with One Singularity, preprint, 2017, pdf file, published in Advances in Geometry 20 (2020), no. 1, 121-138. [MR4052952]

• D.I. Dais & I. Markakis: Computing Minimal Generating Systems for Some Special Toric Ideals, technical report, 2017, pdf file

• D.I. Dais: Classification of Toric Log del Pezzo Surfaces having Picard Number 1 and Index ≤ 3, Results in Mathematics 54 (2009), no. 3-4, 219-252. [pdf file; MR 2010i: 14093, Zbl.Math. 1173.14335]

• D.I. Dais & B. Nill: A Boundedness Result for Toric Log Del Pezzo Surfaces, Archiv der Mathematik 91 (2008), no. 6, 526-535. [pdf file; MR 2009j: 14065, Zbl.Math. 1156.14040]

• D.I. Dais, M. Henk & G.M. Ziegler: On the Existence of Crepant Resolutions of Gorenstein Abelian Quotient Singularities in Dimensions ≥ 4, Contemporary Mathematics, Vol. 423, American Math. Soc., 2006, pp. 125-194. Proceedings Volume of the Euroconference (held in Anogia, Crete, August 20-26, 2005) on "Algebraic and Geometric Combinatorics". [pdf file: long version (math.AG/0512619); published short version, MR 2008c:14024, Zbl.Math. 1139.14015]

D.I. Dais: Geometric Combinatorics in the Study of Compact Toric Surfaces, Contemporary Mathematics, Vol. 423, American Math. Soc., 2006, pp. 71-124. Proceedings Volume of the Euroconference (held in Anogia, Crete, August 20-26, 2005) on "Algebraic and Geometric Combinatorics".

[article as pdf file, MR 2008c:14070, Zbl.Math. 1129.14071]

• D.I. Dais & M. Henk: On the Equations Defining Toric L.C.I.-Singularities, Transactions of the Am. Math. Soc. 355 (2003), no. 12, 4955--4984.

[article as pdf file, misprints, MR 2004f:14074, Zbl.Math. 1049.14037]

• D.I. Dais: Crepant Resolutions of Gorenstein Toric Singularities and Upper Bound Theorem. Geometry of Toric Varieties, Sémin. Congr. 6., Soc. Math. France, Paris, 2002, 187-192.

[article as pdf file and as ps file, MR 2005e:14079, Zbl.Math 1047.14039]

• D.I. Dais: Resolving 3-dimensional Toric Singularities. Geometry of Toric Varieties,  Sémin. Congr. 6., Soc. Math. France, Paris, 2002, 155-186.

[article as pdf file and as ps file, misprints, MR 2005e:14004, Zbl.Math.1047.14038; see also the notes (in Greek) of a lecture given at Mathematics Department of the University of Crete on the 3rd of May, 2004, concerning the same topic.]

• D.I. Dais: On the String-Theoretic Euler Number of a Class of Absolutely Isolated Singularities. Manuscripta Mathematica 105 (2001), no. 2, 143-174.

[article as pdf file and as (extended) mathAG/ps file, MR 2002g:14053, Zbl.Math. 986.14020]

• D.I. Dais & M. Roczen: On the String-Theoretic Euler Numbers of 3-dimensional A-D-E Singularities. Advances in Geometry 1 (2001), no. 4, 373-426.

[article as pdf file, addendum, MR 2003e:32051, Zbl.Math. 1092.32015]

• D.I. Dais, C. Haase & G.M. Ziegler: All Toric Local Complete Intersection Singularities Admit Projective Crepant Resolutions. Tohoku Math. J. (2) 53 (2001), no. 1, 95-107.

[journal version as pdf file, long math.AG-version as pdf file, MR 2001m:14076, Zbl.Math 1050.14044]

• D.I. Dais, U.-U. Haus & M. Henk: On Crepant Resolutions of 2-parameter Series of Gorenstein Cyclic Quotient Singularities. Results in Mathematics 33 (1998), no. 3-4, 208-265.

[article as pdf file and as ps file, MR 2001c:14006, Zbl.Math. 0924.14003]

• D.I. Dais & M. Henk: On a Series of Gorenstein Cyclic Quotient Singularities Admitting a Unique Projective Crepant Resolution, math.AG/9803094.

[manuscript as pdf file and as ps file]

• D.I. Dais, M. Henk & G.M. Ziegler: All Abelian Quotient C.I.-Singularities Admit Projective Crepant Resolutions in All Dimensions, Advances in Mathematics 139 (1998), no. 2, 194-239.

[article as pdf file, misprints, MR 2000b:14016, Zbl.Math. 0930.14006]

• V.V. Batyrev & D.I. Dais: Strong McKay Correspondence, String-Theoretic Hodge Numbers and Mirror Symmetry. Topology 35 (1996), no. 4, 901-929.

[article as pdf file, misprints, MR 97e:14023, Zbl.Math. 0864.14022]

• D.I. Dais: Enumerative Combinatorics of Invariants of Certain Complex Threefolds with Trivial Canonical Bundle. Bonner Mathematische Schriften, 279. Universität Bonn, Mathematisches Institut, Bonn, 1995.

[pdf-file (scanned manuscript, 10.6 MB), MR 97d:14057, Zbl.Math. 0864.14021; see also the notes (in Greek) of a lecture given at Mathematics Department of the University of Athens on the 18th of May, 2000, concerning a topological application of the results of section 6.]

Various Lecture Notes and Course Materials

• D.I. Dais: Zur Klassifikation torischer log del Pezzo Flächen. Notes (in German) from a lecture given in the framework of the "AG-Seminar", Mathematische Fakultät, University of Tübingen, on the 1st of Juli 2010. [pdf file]
• D.I. Dais: Notes (in Greek) on Toric log del Pezzo Surfaces given in the framework of the "Algebra, Number Theory and Logic Seminar" at Mathematics Department of the University of Thessaloniki, on the 20th of December, 2007. [pdf file]
• D.I. Dais: Lecture notes (in Greek) from a Seminar on Regular Polytopes (for undergraduate students) at Mathematics Department of the University of Ioannina, December 2000. [pdf files: Part A, Part B]
• D.I. Dais: Über unimodulare, kohärente Triangulierungen von Gitterpolytopen. Beispiele und Anwendungen. Notes (in German) based on talks given in February 1999 at the University of Konstanz, and in July 2000 at the "Institut Fourier" in Grenoble. [pdf file]
• D.I. Dais: Lecture Notes (in Greek) from a Seminar (for postgraduate students) at Mathematics Department of the University of Ioannina, Spring 1999. [pdf files: Part A, Part B, Part C]
• D.I. Dais: Die Sätze von de Rham und Dolbeault. Notes (in German) from lectures in the framework of the course "Algebraische Geometrie II" (for undergraduate students), Mathematische Fakultät, University of Tübingen, SS 1998. [pdf file]
• D.I. Dais: Primärzerlegung von Moduln über Noetherschen Ringen. Notes (in German) from lectures in the framework of the course "Algebraische Geometrie I" (for undergraduate students), Mathematische Fakultät, University of Tübingen, WS 1997-1998.[pdf file]
• D.I. Dais: Der Weg, der zu den teuflischen Triangulierungen führt. Notes (in German) from a lecture given in the framework of "Oberseminar Algebraische Geometrie" at the Humboldt University (Berlin) on the 4th of July, 1995. [pdf file]

Work written under my supervision