Ali Sinan Sertoz Posterity Page

Ali Sinan Sertöz Posterity Page

Academic Publications

Caner Koca & Ali Sinan Sertöz: Angle between two complex lines,
Note di Matematics, Vol. 44, No. 1 (2024), 27-44
PDF File
Alexander Degtyarev, Ilia Itenberg, Ali Sinan Sertöz: Lines on quartic surfaces,
Mathematische Annalen (2016); DOI: 10.1007/s00208-016-1484-0
PDF File
Ali Sinan Sertöz: Dirichlet problem for polynomials on the unit disk,
Communications of the Korean Mathematical Society, Vol. 29, No. 3, (2014), 415-420.
PDF File
James D. Lewis & Ali Sinan Sertöz: Motives of some Fano Varieties,
Mathematische Zeitschrift, Vol. 261, No. 3, (2009), 531-544.
PDF File
Caner Koca & Ali Sinan Sertöz: Irreducible Heegner Divisors in the Period Space of Enriques Surfaces,
International Journal of Mathematics, Vol. 19, No. 2, (2008), 209-215.
math.AG/0509687 PDF File
Sertöz, A. S. : Which Singular K3 Surfaces Cover an Enriques Surface,
Proceedings of the American Mathematical Society, 133 (2005), 43-50.
MSC: 14J28
MR: 2005m:14066
PDF File Türkçe Özet
Sertöz, S. : Pieri-Type Intersection Formulas and Primary Obstructions for Decomposing 2-forms,
Colloquium Mathematicum, 87 (2001), 201-210.
MSC: 14M15
MR: 2001m:14075
DVI File PDF File
Önsiper, H.; Sertöz, S. : Generalized Shioda-Inose Structures on K3 Surfaces
Manuscripta Mathematica, 98 (1999), 491-495.
MSC: 14J28 (14J50)
MR: 2000b:14043
DVI File PDF File
Önsiper, H.; Sertöz, S. : On Generalized Shioda-Inose Structures
Turkish Journal of Mathematics, 23 (1999), 575-578.
To Professor Masatoshi Gündüz Ikeda with admiration
MSC: 14J28 (14J50)
MR: 2001f:14072
DVI File PDF File
Sertöz, S. : On the Number of Solutions of a Diophantine Equation of Frobenius,
Discrete Mathematics and Applications, Vol 8, No 2, (1998), 153-162.
MSC: 11D72 (11B75, 11D04)
MR: 2000a:11049
DVI File PDF File
Arslan, F.; Sertöz, S. : Genus Calculations of Complete Intersections,
Communications in Algebra, 26(8) (1998), 2463-2471.
MSC: 14M10 (13C40)
MR: 99c:14021
DVI File PDF File
Sertöz, S. : Local structure of holomorphic foliation singularities,
Pacific Journal of Mathematics, 186 (1998), 149-165.
MSC: 32L30
MR: 99j:32036
PostScript File PDF File
Sertöz, S. : Arf Rings and Characters,
Note di Matematica 14 (1994), 251-261 (1997).
MSC: 14H20 (13H15)
MR: 98d:14039
DVI File PDF File
Önsiper, H.; Sertöz, S. : On degenerations of fiber spaces of curves of genus >=2.
Archiv der Mathematik (Basel)69 (1997), 350-352.
MSC: 14D05 (14J29)
MR: 99b:14008
DVI File PDF File
Algebraic Geometry, Proceedings of Bilkent Summer School,
Edited by S. Sertöz, Marcel Dekker, New York, 1997.
ISBN: 0-8247-0123-2
MSC: 14-06
MR: 98e:14001
Table of Contents and ordering information
Sertöz, S. : An overview of the search for minimal models of algebraic threefolds,
Algebraic Geometry, Proceedings of Bilkent Summer School,
Marcel Dekker, New York, 1997, 291-311.
MSC: 14E30
MR: 99j:14017
DVI File PDF File
Sertöz, S. : A triple intersection theorem for the varieties SO(n)/Pd.
Fund. Math. 142 (1993), no. 3, 201--220.
MSC: 14M15 (14M17 14N10)
MR: 95a:14054
DVI File PDF File
Sertöz, S.; Özlük, A. : On the number of representations of an integer by a linear form.
Istanbul Üniv. Fen Fak. Mat. Derg. 50 (1991), 67--77 (1993).
MSC: 11D04 (11D85)
MR: 95e:11035
DVI File PDF File
Sertöz, S. : On Arf Rings,
Appendix in: The Collected Papers of Cahit Arf,
Published by the Turkish Mathematical Society, (1990), 416--419.
MSC: 14H20 (13H15)
DVI File PDF File
Sertöz, S. : Residues of singular holomorphic foliations.
Compositio Math. 70 (1989), no. 3, 227--243.
MSC: 32L05 (14F05 57R30)
MR: 90h:32057
DVI File PDF File
Sertöz, S. : C*-actions on Grassmann bundles and the cycle at infinity.
Math. Scand. 62 (1988), no. 1, 5--18.
MSC: 32M15 (14C99 32J99 32M05 57R99)
MR: 90f:32035
DVI File PDF File
Sertöz, S. : On Bott's vanishing theorem and applications to singular foliations.
Doga Mat. 11 (1987), no. 1, 62--67.
MSC: 57R20 (32L10 57R30)
MR: 89a:57031
DVI File PDF File
Sertöz, S.; Özlük, Ali E. : On a Diophantine problem of Frobenius.
Istanbul Tek. Üniv. Bül. 39 (1986), no. 1, 41--51.
MSC: 11D04 (90C10)
MR: 89g:11021
DVI File PDF File

Singular Holomorphic Foliations, 1984 University of British Columbia Dissertation.
Abstract (DVI) (PDF file)
1998 Postscript (DVI) (PDF file)
Table of Contents (DVI) (PDF file)
Singular Holomorphic Foliations (DVI File), (PDF File)

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SINGULAR HOLOMORPHIC FOLIATIONS

by SERTOZ, ALI SINAN, Ph.D., The University of British Columbia (Canada), 1984; AAT NK66939

Abstract (Summary)

A generalized Nash Blow-up M' with respect to coherent subsheaves of locally free sheaves is defined for complex spaces. It is shown that M' is locally isomorphic to a monoidal transformation and hence is analytic. Examples of M' are given. Applications are given to Serre's extension problem and reductive group actions. A C('* )action on Grassmannians are defined, fixed point sets and Bialynicki-Birula decomposition is described. This action is generalized to Grassmann bundles. The Grassmann graph construction is defined for the analytic case and it is shown that for a compact Kaehler manifold the cycle at infinity is an analytic cycle. A calculation involving the localized classes of graph construction is given. Nash residue for singular holomorphic foliations is defined and it is shown that the residue of Baum-Bott and the Nash residue differ by a term that comes from the Grassmann graph construction of the singular foliation. As an application conclusions are drawn about the rationality conjecture of Baum-Bott. Pontryagin classes in the cohomology of the splitting manifold are given which obstruct an imbedding of a bundle into the tangent bundle.

Citations Received and Invited Talks.

Other Activities.


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