10 SELMA ALTINOK AND MOHAN BHUPAL

[7] J. Etnyre and B. Ozbagci, Open books and plumbings, Int. Math. Res. Not. (2006), Article

ID 72710, 1–17.

[8] J. Etnyre and B. Ozbagci, Invariants of contact structures from open books, Trans. AMS 360

(6) (2008), 3133–3151.

[9] E. Giroux, G´ eom´ etrie de contact: de la dimension trois vers les dimensions sup´ erieures,

Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 405–

414, Higher Ed. Press, Beijing (2002).

[10] F. Hirzebruch, W.D. Neumann and S.S. Koh, Diﬀerentiable Manifolds and Quadratic Forms,

Math. Lecture Notes, vol. 4, Dekker, New York (1972).

[11] J. Lipman, Rational singularities with applications to algebraic surfaces and unique factor-

ization, Publ. Math. IHES 36 (1969), 195–279.

[12] D.T. Lˆ e and M. Tosun, Combinatorics of rational singularities, Comment. Math. Helv. 79

(2004) 582–604.

[13] D. Mumford, The topology of normal surface singularities of an algebraic surface and a

criterion for simplicity, Publ. Math. IHES 9 (1961), 5–22.

[14] H. Pinkham, Singularit´ es rationnelles de surfaces, S´ eminaire sur les singularit´ es de surfaces,

Lecture Notes in Math. 777, Springer-Verlag (1980).

[15] S. Sch¨ onenberger, Planar open books and symplectic ﬁllings, Ph.D. Dissertation, University

of Pennsylvania (2005).

[16] M. Spivakovsky, Sandwiched singularities and desingularization of surfaces by normalized

Nash transformations, Annals of Math. 131 (1990), 411-491.

[17] M. Reid, Chapters on Algebraic Surfaces, in: Complex Algebraic Geometry, IAS/Park City

Mathematical Series, vol. 3. (J. Koll´ ar editor) (1997).

[18] M. Tosun, Tyurina components and rational cycles for rational singularities, Turkish J. Math.

23 (3) (1999), 361–374

[19] O. Zariski, The theorem of Riemann–Roch for high multiples of an eﬀective divisor on a

algebraic surface, Ann. Math. 76 (1962), 560–615.

Department of Mathematics, Adnan Menderes University, 09100 Aydin, Turkey

E-mail address: saltinok43@yahoo.com

Department of Mathematics, Middle East Technical University, 06531 Ankara,

Turkey

E-mail address: bhupal@metu.edu.tr

10

[7] J. Etnyre and B. Ozbagci, Open books and plumbings, Int. Math. Res. Not. (2006), Article

ID 72710, 1–17.

[8] J. Etnyre and B. Ozbagci, Invariants of contact structures from open books, Trans. AMS 360

(6) (2008), 3133–3151.

[9] E. Giroux, G´ eom´ etrie de contact: de la dimension trois vers les dimensions sup´ erieures,

Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 405–

414, Higher Ed. Press, Beijing (2002).

[10] F. Hirzebruch, W.D. Neumann and S.S. Koh, Diﬀerentiable Manifolds and Quadratic Forms,

Math. Lecture Notes, vol. 4, Dekker, New York (1972).

[11] J. Lipman, Rational singularities with applications to algebraic surfaces and unique factor-

ization, Publ. Math. IHES 36 (1969), 195–279.

[12] D.T. Lˆ e and M. Tosun, Combinatorics of rational singularities, Comment. Math. Helv. 79

(2004) 582–604.

[13] D. Mumford, The topology of normal surface singularities of an algebraic surface and a

criterion for simplicity, Publ. Math. IHES 9 (1961), 5–22.

[14] H. Pinkham, Singularit´ es rationnelles de surfaces, S´ eminaire sur les singularit´ es de surfaces,

Lecture Notes in Math. 777, Springer-Verlag (1980).

[15] S. Sch¨ onenberger, Planar open books and symplectic ﬁllings, Ph.D. Dissertation, University

of Pennsylvania (2005).

[16] M. Spivakovsky, Sandwiched singularities and desingularization of surfaces by normalized

Nash transformations, Annals of Math. 131 (1990), 411-491.

[17] M. Reid, Chapters on Algebraic Surfaces, in: Complex Algebraic Geometry, IAS/Park City

Mathematical Series, vol. 3. (J. Koll´ ar editor) (1997).

[18] M. Tosun, Tyurina components and rational cycles for rational singularities, Turkish J. Math.

23 (3) (1999), 361–374

[19] O. Zariski, The theorem of Riemann–Roch for high multiples of an eﬀective divisor on a

algebraic surface, Ann. Math. 76 (1962), 560–615.

Department of Mathematics, Adnan Menderes University, 09100 Aydin, Turkey

E-mail address: saltinok43@yahoo.com

Department of Mathematics, Middle East Technical University, 06531 Ankara,

Turkey

E-mail address: bhupal@metu.edu.tr

10