Publikationen

2017

2016

Calabi-Yau operators Duco van Straten Algebraic Geometry [math.AG] (2017) Msc class: 14J32, 32S40, http://arxiv.org/pdf/1704.00164.pdf

Logarithmic vector fields and the Severi strata in the discriminant Singularities in Geometry, Topology, Foliations and Dynamics
A Celebration of the 60th Birthday of José Seade, Merida, Mexico, December 2014
José Luis Cisneros-Molina, Birkhäuser (2017)

On a theorem of Greuel and Steenbrink.
Singularities and computer algebra 353–364, Springer, Cham (2017).

On symplectic hypersurfaces. Minimal models and extremal rays.
Lehn, Manfred; Namikawa, Yoshinori; Sorger, Christoph; van Straten, Duco (Kyoto, 2011),
277–298, Adv. Stud. Pure Math., 70, Math. Soc. Japan, Tokyo (2016).

Weak Whitney regularity implies equimultiplicity for families of complex hypersurfaces
David Trotman, Duco van Straten
Annales de la Faculté des Sciences de Toulouse, Vol. XXV, no. 1, 2016, pp. 161-170

2015 Dwork congruences and reflexive polytopes
Kira Samol, Duco van Straten
Ann. Math. Quebec (2015) 39: 185-203
2014 Resurgent deformation quantisation
Mauricio Garay, Axel de Goursac, Duco van Straten
Annals of Physics 342 (2014) 83-102
From Briancon-Skoda to Scherk-Varchenko
Duco van Straten
2013 Some Monodromy Groups of Finite Index
Jörg Hofmann, Duco van Straten
J. Aust. Math. Soc. 99 (2015), 48-62
Tree Singularities: Limits, Series and Stability
Duco van Straten
Deformations of Surface Singularities, Bolyai Soc. Math. Studies, Volume 23, 2013, pp 229-287
Twisted cubics on cubic fourfolds
Christian Lehn, Manfred Lehn, Christoph Sorger, Duco van Straten
J. reine angew. Math., De Gruyter 2015
Calabi-Yau conifold expansions
Slawomir Cynk, Duco van Straten
Fields Institute Communications Volume 67, 2013, pp 499-515
An Abelian Surface with (1, 6)-Polarisation
Michael Semmel, Duco van Straten
Nonlinearity 26 (2013) 2973-2992
2012 Gorenstein-duality for one-dimensional almost complete intersections with an application to non-isolated real singularities
Duco van Straten, Thorsten Warmt
Math. Proc. Camb. Phil. Soc. (2015), 158, 249-268
On symplectic hypersurfaces
Manfred Lehn, Yoshinori Namikawa, Christoph Sorger, Duco van Straten
Advanced Studies in Pure Mathematics (Mori 60 volume). 24 pages.
Conifold Period Expansion
Slawomir Cynk, Duco van Straten
Report No. 23/2012, Workshop on Singularity Theory and Integrable Systems
Oberwolfach, 2012
On the monodromy of the moduli space of Calabi-Yau threefolds coming from eight planes in \( P^3\)
Ralf Gerkmann, Mao Sheng, Kang Zuo, Duco van Straten
Math. Ann., DOI 10.1007/s00208-012-0779-z
Lines on the Dwork Pencil of Quintic Threefolds
Philip Candelas, Xenia de la Ossa, Bert van Geemen, Duco van Straten
Adv. Theor. Math. Phys. 16 (2012), no. 6, 1779-1836
An Index Theorem for Modules on a Hypersurface Singularity
Ragnar Buchweitz, Duco van Straten
Moscow Math. Journal, vol. 12, Number 2 (2012)
Hyperelliptic integrals and generalized arithmetic-geometric mean
Jeroen Spandaw, Duco van Straten
Ramanujan J, 28:61-78 (2012)
2011 Generalizations of Clausen's formular and algebraic transformations of Calabi-Yau differential equations
G. Almkvist, Duco van Straten, Wadim Zudilin
Proc. Edinb. Math. Soc. (2), 273-295 (2011)
2010 Hodge classes associated to 1-parameter families of Calabi-Yau 3-folds
Pedro Luis Del Angel, Stefan Müller-Stach, Duco van Straten, Kang Zuo
Acta Math. Vietnam, no. 1, 7-22 (2010)
Classical and Quantum Integrability
Mauricio D. Garay, Duco van Straten
Moscow Mathematical Journal, vol. 10, no. 3, 519-545 (2010)
Tables of Calabi-Yau equations
Gert Almkvist, Christian van Enckevort, Duco van Straten, Wadim Zudilin
2009 A Quintic Hypersurface in \( P^8 (C) \) with Many Nodes
Oliver Labs, Oliver Schmidt, Duco van Straten
Small Resolutions and Non-Liftable Calabi-Yau threefolds
Slawomir Cynk, Duco van Straten
Manus. Math. 130, 233-249 (2009)
Smoothing of Quiver Varieties
Klaus Altmann, Duco van Straten
Manus. Math. 129, 211-230 (2009)
2008 Apéry Limits of Differential Equations of Order 4 and 5
Gert Almkvist, Duco van Straten, Wadim Zudilin
Fields Institute Comm., vol. 54, 105-123 (2008)
Frobenius polynomials for Calabi-Yau equations
Kira Samol, Duco van Straten
Comm. in Number Theory and Physics 2, no. 3, 537-561 (2008)
Unliftable Calabi-Yau threefolds
Slawomir Cynk, Duco van Straten
Report No. 26/2008, Workshop Classical Algebraic Geometry
Oberwolfach, 2008
Real Line Arrangements and Surfaces with Many Real Nodes
Sonja Breske, Oliver Labs, Duco van Straten
Geometric modeling and algebraic geometry, 47-54, Springer, Berlin (2008)
2007 On the Quantisation of Completely Integrable Hamiltonian Systems
Mauricio D. Garay, Duco van Straten
Report No. 47/2007, Workshop Komplexe Algebraische Geometrie
Oberwolfach, 2007
2006 Some Problems on Lagrangian Singularities
Duco van Straten
Singularities and computer algebra, 333-349,
London Math. Soc. Lecture Notes Ser., 324, Cambridge Univ. Press (2006)
Monodromy calculations of fourth order equations of Calabi-Yau type
Christian van Enckevort, Duco van Straten
Mirror symmetry. V, 539–559, AMS/IP Stud. Adv. Math., 38, AMS, Providence, RI (2006)
Arctic Computation of Monodromy
K. Jung, Duco van Straten
Report No. 40/2006, Workshop Komplexe Analysis
Oberwolfach, 2006
Infinitesimal Deformations of double covers of smooth algebraic varieties
Slawomir Cynk, Duco van Straten
Math. Nachr. 279, no. 7, 716-726 (2006)
2004 Rigid and complete intersection Lagrangian singularities
Christian Sevenheck, Duco van Straten
Manus. Math. 114, no. 2, 197-209 (2004)
A visual introduction to cubic surfaces using the computer software SPICY
Oliver Labs, Duco van Straten
M. Joswig, N. Takayama, Algebra, geometry, and Software Systems, Springer (2003)
2003 Stochastic factorizations, sandwiched simplices and the topology of the space of explanations
David Mond, Jim Smith, Duco van Straten
Royal Soc. Proc., Math. Phys. and Engineering Sciences, 459, no 2039, 2821-2845 (2003)
Deformation of singular lagrangian subvarieties
Christian Sevenheck, Duco van Straten
Math. Ann. 327, 79-102 (2003)
On the Topology of Langrangian Milnor Fibres
Mauricio D. Garay, Duco van Straten
IMRN 35, 1933-1943 (2003)
2002 A criterion for the equivalence of formal singularities
Konrad Möhring, Duco van Straten
Am. J. Math. 124, 1319-1327 (2002
The modularity of the Barth-Nieto quintic and its relatives
Klaus Hulek, Jeroen Spandaw, Bert van Geemen, Duco van Straten
Adv. Geom. 1, no. 3, 263-289 (2001)
2001 Milnor Number equals Tjurina Number for Functions on Space Curves
David Mond, Duco van Straten
J. of the London Math. Soc. (2), 63, 177-187 (2001)
The structure of the discriminant of some space curve singularities
David Mond, Duco van Straten
Quart. J. Math. 52, no. 3, 355-365 (2001)
2000 Projective resolutions associated to projections
Theo de Jong, Duco van Straten
Manus. Math. 101, 415-427 (2000)
Mirror symmetry and toric degenerations of partial flag manifolds
Victor Batyrev, Ionut Ciocan-Fontanine, Bumsig Kim, Duco van Straten
Acta Mathematica, vol. 184, no. 1, 1-39 (2000)
The polyhedral Hodge number \( h^{2,1} \) and vanishing of obstructions
Klaus Altmann, Duco van Straten
Tohuku Math.J. 52, no. 4, 579-602 (2000)
1999 Knotted Milnor fibres
David Mond, Duco van Straten
Topology, vol. 38, no. 4, 915-929 (1999)
1998 Conifold transitions and mirror symmetry for Calabi-Yau complete intersections in Grassmannians
Victor Batyrev, Ionut Ciocan-Fontanine, Bumsig Kim, Duco van Straten
Nucl. Phys., B 514, 640-666 (1998)
Euler number of the compactified Jacobian and multiplicities of rational curves
Barbara Fantechi, Lothar Göttsche, Duco van Straten
J. of Alg. Geometry 8, no. 1, 115-133 (1998)
Deformation theory of Sandwiched Singularities
Theo de Jong, Duco van Straten
Duke Math. J., vol. 95, no. 3, 451-522 (1998)
1995 The intermediate Jacobians of the theta divisors of four-dimensional principally polarized abelian varieties
Elham Izadi, Duco van Straten
J. of Alg. Geometry 4, no. 3, 557-590 (1995)
A Note on the Discriminant of a Space Curve
Duco van Straten
Manus. Math. 87, no. 2, 167-177 (1995)
1994 On the deformation theory of rational surface singularities with reduced fundamental cycle
Theo de Jong, Duco van Straten
J. of Alg. Geometry 3, no. 1, 117-172 (1994)
Generalized Hypergeometric Functions and Rational Curves on Calabi-Yau Complete Intersections in Toric Varieties
Victor Batyrev, Duco van Straten
Comm. of Math. Physics, vol. 168
1993 Algebraizations with minimal class group
A. Parameswaran, Duco van Straten
Int. J. of Math., vol. 4, no.6, 989-996 (1993)
A Quintic Hypersurface in \( P^4 \) with 130 Nodes
Duco van Straten
Topology 32, no. 4, 857-864 (1993)
Quotient spaces and critical points of invariant functions for \( C^* \)-actions
James Montaldi, Duco van Straten
Crelle's J. f. Reine u. Angew. Math., no. 437, 55-99 (1993)
The cusp forms of weight 3 on \( \Gamma (2, 4, 8) \)
Bert van Geemen, Duco van Straten
Mathematics of Computation, vol. 61, no. 204, 849-872 (1993)
1992 A construction of Q-Gorenstein smoothings of index two
Theo de Jong, Duco van Straten
Int. J. of Math., vol. 3, no. 3, 341-347 (1992)
1991 Disentanglements
Theo de Jong, Duco van Straten
in: Singularity Theory and its Applications, Warwick 1989, vol 1, D. Mond, J. Montaldi (eds.)
Lecture Notes Math. 1462, Springer, Berlin (1991)
On the Base Space of a Semi-universal Deformation of Rational Quadruple points
Theo de Jong, Duco van Straten
Ann. of Math. 134, 653-678 (1991)
1990 Deformations of the Normalization of Hypersurfaces
Theo de Jong, Duco van Straten
Math. Ann. 288, 527-547 (1990)
A Deformation Theory for Non-Isolated Singularities
Theo de Jong, Duco van Straten
Abh. Math. Sem. Univ. Hamburg 60, 177-208 (1990)
One-forms on singular curves and the topology of real curve singularities
James Montaldi, Duco van Straten
Topology 29, vol. 4, 501-510 (1990)
1989

Christina Birkenhage, Herbert Lange, Duco van Straten
Math. Ann. 285, 625-646 (1989)

A note on the number of periodic orbits near a resonant equilibrium point
Duco van Straten
Nonlinearity 2, 445-458 (1989)
On the Betti numbers of the Milnor fibre of a certain class of hypersurface singularities
Duco van Straten
in: Singularities, Representations of Algebras and Vectorbundles, G.-M. Greuel, G. Trautmann (eds.), Lecture Notes Math. 1273
1985 Extendability of holomorphc differential forms near isolated hypersurface singularities
Josef Steenbrink, Duco van Straten
Abh. Math. Sem., Univ. Hamburg 55, 97-110 (1985)