Ali Sinan Sertöz Citations Page

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• Sertöz, S.; Özlük, Ali E. : On a Diophantine problem of Frobenius.
  Istanbul Tek. Üniv. Bül. 39 (1986), no. 1, 41--51.
1. T. C. Brown, A Remark related to the Frobenius Problem, Fibonacci Quarterly, 31 (1993), 32-36.
2. T. C. Brown, Wun-Seng Chou, Peter J-S Shiue, On the partition function of a finite set, Australasian Journal of Combinatorics 27 (2003), 193-204.
3. J. L. Ramirez Alfonsin, The Diophantine Frobenius Problem, Oxford Lecture Series in Mathematics and its Applications 30, Oxford University Press, 2005.

 
• Sertöz, S. : On Bott's vanishing theorem and applications to singular foliations.
  Doga Mat. 11 (1987), no. 1, 62--67.
4. C. Godbillon, Feuilletages, Etudes Geometriques, Progress in Mathematics series vol 98, Birkhauser Verlag Basel, 1991.

 
• Sertöz, S. : C*-actions on Grassmann bundles and the cycle at infinity.
  Math. Scand. 62 (1988), no. 1, 5--18.
5. M. Kwiecinski, Sur le Transforme de Nash et la construction du graph de MacPherson, Doctorat de l'universite de Provence, aix-Marseille I, 1994.
6. M. Kwiecinski, MacPherson's Graph Construction, Algebraic Geometry, Proceedings of Bilkent Summer School, Marcel Dekker, 1997, p135-155.

 
• Sertöz, S. : Residues of singular holomorphic foliations.
  Compositio Math. 70 (1989), no. 3, 227--243.
7. M. Kwiecinski, Sur le Transforme de Nash et la construction du graph de MacPherson, Doctorat de l'universite de Provence, aix-Marseille I, 1994.
8. J-P. Brasselet, Indices of Vectorfields and Residues of Singular Foliations after Nash Transformation, 
   Topology of holomorphic dynamical systems and related topics (Japanese) (Kyoto, 1995).
   Surikaisekikenkyusho Kokyuroku No. 955, (1996), 39--45.
9. M. Kwiecinski, MacPherson's Graph Construction, Algebraic Geometry, Proceedings of Bilkent Summer School, Marcel Dekker, 1997, p135-155.
10. T. Suwa, Indices of Vector Fields and Residues of Singular Holomorphic Foliations, Hermann, Paris, 1998.
11. J-P. Brasselet and T. Suwa, Nash Residues of Singular Holomorphic Foliations, Asian J. Math. 4 (2000), 37-50.
12. Rogerio S. Mol, Classes polaires associées aux distributions holomorphes de sous-espaces tangents.
    [Polar classes associated with holomorphic distributions of tangent subspaces],
    Bull. Brazil Math. Soc. (N.S.) 37 (2006), 29-48.



• Sertöz, S., On Arf Rings,
  Appendix in "The Collected Works of Cahit Arf", Turkish Math. Soc. (1990), 153-162.
13. J. L. Ramirez Alfonsin, The Diophantine Frobenius Problem, Oxford Lecture Series in Mathematics and its Applications 30, Oxford University Press, 2005.



• Sertöz, S.; Özlük, Ali E. : On the number of representations of an integer by a linear form.
  Istanbul Üniv. Fen Fak. Mat. Derg. 50 (1991), 67-77.
14. M. Beck, I. M. Gessel and T. Komatsu, The polynomial part of a restricted partition function to the Frobenius problem, The Electronic Journal of Combinatorics, 8(1), (2001), #N7.
15. T. C. Brown, Wun-Seng Chou, Peter J-S Shiue, On the partition function of a finite set, Australasian Journal of Combinatorics 27 (2003), 193-204.
16. J. L. Ramirez Alfonsin, The Diophantine Frobenius Problem, Oxford Lecture Series in Mathematics and its Applications 30, Oxford University Press, 2005.

 
• Sertöz, S. : A triple intersection theorem for the varieties SO(n)/Pd.
  Fund. Math. 142 (1993), no. 3, 201--220.
17. P. Pragacz, Geometric Applications of Symmetric Polynomials; some recent developments, 
    Max-Planck Institute Preprint MPI/92-16.
18. P. Pragacz & J. Ratajski, A Pieri Type Theorem for Even Dimensional Grassmannians, 
    Max-Planck Institute Preprint MPI/96-83, 
    Fund. Math. 178 (2003), 49-96.
19. P. Pragacz, Symmetric Polynomials and Divided Differences in Formulas of Intersection Theory, Banach Center Publications, Volume 36, Polish Academy of Sciences, (1996), 125-177.
20. P. Pragacz & J. Ratajski, A Pieri Type Theorem for Lagrangian and odd Orthogonal Grassmannians, 
    J. reine angew Math 476 (1996), 143-189.
21. F. Sottile, Pieri type formulas for maximal isotropic Grassmannians via Triple Intersections,  
    alg-geom/9708026, MSRI Preprint no: 1997-062.
    Colloquium Mathematicum, 82 (1999), 49-63.
22. H. Tamvakis, Quantum cohomology of isotropic Grassmannians,
    Geometric methods in algebra and number theory, 311--338,
    Progr. Math., 235, Birkhäuser Boston, Boston, MA, 2005.

 
• Sertöz, S. : Arf Rings and Characters,
  Note di Matematica 14 (1994), 251-261 (1997).
23. Saban, Giacomo, Development of mathematics in Turkey from the University Reform to 1997,   Boll. Unione Mat. Ital. Sez. A Mat. Soc. Cult. (8) , 5 (2002), 257--292.

 
• Sertöz, S. : On the Number of Solutions of a Diophantine Equation of Frobenius,
  Discrete Math. Appl. 8 (1998), 153-162.
24. T. C. Brown, Wun-Seng Chou, Peter J-S Shiue, On the partition function of a finite set, Australasian Journal of Combinatorics 27 (2003), 193-204.
25. Komatsu, Takao, On the number of solutions of the Diophantine equation of Frobenius-General Case
    Mathematical Communications, 8 (2003), 195-206.
26. J. L. Ramirez Alfonsin, The Diophantine Frobenius Problem, Oxford Lecture Series in Mathematics and its Applications 30, Oxford University Press, 2005. 
27. Xu, Zhi-qiang, Multi-dimensional versions of a formula of Popoviciu,
    Science in China Series-A Mathematics, 50  (2007), 285-291.
     
    • Önsiper, H., Sertöz, S.: Generalized Shioda-Inose Structures on K3 Surfaces,
      Manuscripta Mathematica 98 (1999), 491-495.
28. Cinkir, Z., Önsiper, H., On Symplectic Quotients of K3 Surfaces, Indaganationes Mathematicae-New Series, 11 (2000), 533-535.

 
• Sertöz, S. : Which singular K3 surfaces cover an Enriques surface,
  Proc AMS 133 (2005), 43-50.
29. Uludağ, A.M., Smooth finite abelian uniformizations of projective spaces and Calabi-Yau orbifolds,
    Manuscripta Math 124 (2007), 31-44.

 

 

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