List of Publications
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1. Factorization of a birational morphism between 4-folds, Math. Ann.256 (1981), 391-399. |
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2. Non-commutative algebra of dimension 3 over integral schemes (with R. Miranda), Trans. of the Amer. Math. Soc. 292, 2 (1985), 705-712. |
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3. Existence of simply connected algebraic surfaces of positive and zero indices (with B. Moishezon), Proceedings of the National Academy of Sciences, United States of America 83 (1986), 6665-6666. |
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4. On toroidal embeddings of 3-folds, Israel Journal of Mathematics 57, no. 1 (1987), 49-67. |
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5. Multiplicity one theorem for GSp(k,2n) and O(k,4) where k is a finite field, Journal of Algebra 107, no. 2 (1987), 436-465. |
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6. Simply connected algebraic surfaces with positive index (with B. Moishezon), Inventiones Math. 89 (1987), 601-643. |
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7. Galois covers in theory of algebraic surfaces (with B. Moishezon), Amer. Math. Soc. Pub. PSPM 46 (1987), 47-65. |
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8. Braid group techniques in complex geometry I, Line arrangements in CP2 (with B. Moishezon), Contemporary Math. 78 (1988), 425-556. |
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9. Braid group techniques in complex geometry II, From arrangements of lines and conics to cuspidal curves,(with B. Moishezon), in: Algebraic Geometry, Lecture Notes in Math. 1479 (1990), 131-180. |
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10. Finite fundamental groups free over Z/cZ for Galois covers of CP2 (with B. Moishezon), Math. Ann. 293 (1992), 749-766. |
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11. Foundations for expert systems in projective geometry (with Y. Halevi), Proceedings of ILA (Israel Society for Information Processing), November 1992 (in Hebrew), 203-224. |
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12. Braid group techniques in complex geometry III, Projective degeneration of V3 (with B. Moishezon), Contemporary Math. 162 (1994), 313-332. |
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13. Braid group techniques in complex geometry IV, Braid monodromy of S3, the branch curve of p3: V3 ® CP2 and applications to p1(CP2 - S3,*) (with B. Moishezon), Contemporary Math. 162 (1994), 333-358. |
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14. Fundamental groups of complements of branch curves as solvable groups (with B. Moishezon), Israel Mathematical Conference Proceedings 9 (1995), 329-346.(PDF File) |
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15. Braid group techniques in complex geometry V, the fundamental group of a complement of a branch curve of a Veronese generic projection, (with B. Moishezon), Communications in Analysis and Geometry 4, no. 11 (1996), 1-120. (PDF File) |
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17. Correspondence between representations of dual reductive pairs of O(n,k) and Sp(2,k) (with Piatetski-Shapiro), Beiträge zur Algebra und Geometrie 38, no. 1 (1997), 145-148. Printed also (with permission) in: the volume "Sitzungsberichte der Berliner Mathematischen Gesellschaft 1993-1996" (1998), 103-106. |
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18. Applications of braid group techniques to the decomposition of moduli spaces, new examples (with A. Robb), Topology and its Applications 78 (1997), 143-151.(PDF File). |
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19. Commutativity of the Schur algebra, Beiträge zur Algebra und Geometrie 38, no. 1 (1997), 135-143. Printed also (with permission) in the volume "Sitzungsberichte der Berliner Mathematischen Gesellschaft 1993-1996" (1998), 107-116. |
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20.
On the quotient of the braid group by commutators of transversal half-twists
and its group actions, Topology and its Applications 78 (1997), 153-186.
(PDF File). |
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21. Braid groups, algebraic surfaces and fundamental groups of complements of branch curves, Amer. Math. Soc. Publications PSPM 62, no.1 (1997), 127-150.(PDF File). |
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22. The braid group, knots and algebraic geometry (with J. Birman), Topology and its Applications 79 (1997), 1-4. |
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23. The variety of the set of representation of D¥ and SL2(z), “Sitzungsberichte der Berliner Matematischen Gesellschaft 1997-2000” (1998), 177-179. |
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24. Chern classes of fibered products of surfaces, Documenta Mathematica 3 (1998), 321-342.(PDF File). |
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25. Open questions on fundamental groups of complements of curves, Proceedings of Kernforschungszentrum Jülich, 1998. |
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26.
New invariants of surfaces, Contemporary Math. 231 (1999), 271-281.(PDF File). |
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27.
The fundamental group of a CP2-complement of a branch curve as an extension
of a solvable group by a symmetric group, Math. Ann. 314 (1999), 19-38.(PDF File). |
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28. On Emmy Noether, Israel Mathematical Conference Proceedings 12 (1999), 1-3. |
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29. Hirzebruch surfaces: degenerations, related braid monodromy, Galois covers, Contemporary Math. 241 (1999), 305-325.(PDF File). |
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30.
The fundamental group's structure of the complement of some configurations
of real line arrangements (with D. Garber), in: Complex Analysis and
Algebraic Geometry (T. Peternell, F.-O. Schreyer, eds.), de Gruyter, 2000,
pp. 173-223.(PDF File). |
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31. Braid monodromy factorization and diffeomorphism types (with V. Kulikov), Russian Acad. Sci. Izvestiya Math. 64:2 (2000), 89-120.(PDF File). |
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32.
Braid monodromy of special algebraic curves (with M. Amram), Journal of Knot
Theory and its Ramifications 10 (2001), no. 2, 171-212.(PDF File). |
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33. Multiple-view geometry of non-planar algebraic curves (with M. Fryers, J.Y. Kaminski and A. Shashua), Proceedings of the International Conference of Computer Vision, 2001. |
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34.
Some applications of algebraic curves to computational
vision (with J.Y. Kaminski and M. Fryers), Applications of Algebraic
Geometry to Coding Theory, Physics, and Computation, NATO Science Series II:
Mathematics, Physics and Chemistry, vol. 36, 2001,
121-137. (PDF File). |
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35. Pillow degenerations of K3 surfaces (with C. Ciliberto and R. Miranda), in: Applications of Algebraic Geometry to Coding Theory, Physics, and Computation, NATO Science Series II: Mathematics, Physics and Chemistry, vol. 36, 2001, 53-63.(PDF File). |
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36.
BMT invariants of surfaces and 4-manifolds, in: Trends in Singularities,
Birkhauser, 2002, 215-222.(PDF File). |
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37. The fundamental group of the Galois cover of the surface CP1 ΄ T (with M. Amram, D. Goldberg and U. Vishne), Algebraic and Geometric Topology 2 (2002), no. 20, 403-432. (PDF File). |
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38.
Identifying half-twists using randomized algorithm methods (with S. Kaplan),
Journal of Symbolic Computation 34 (2002), 91-103 .(PDF File). |
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39. Writing and dysgraphia in ADHD (with E. Adi-Japha, R. Shalev and L. Frenkel), Neuroplasticity 9 (2) (2002), p. 65. |
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40. Solving the EEG Inverse problem using Genetic Algorithms (with E. Adi-Japha, A. Kleks and A. Zilberstein), Neuroplasticity 9 (2) (2002), p. 126. |
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41.
A new algorithm for solving the word problem in braid groups (with D. Garber
and S. Kaplan), Advances in Math 167, no.1 (2002), 142-159.(PDF File). |
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42.
Classes of wiring diagrams and their invariants (with D. Garber and U.
Vishne), Journal of Knot Theory and its Ramifications 11, no.8 (2002),
1165-1191.(PDF File). |
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43. Solving the braid word problem via the fundamental group (with S. Kaplan), Advances in Algebra and Geometry, Hindustan Book Agency Ltd., New Delhi, India, Birkhauser, Nov. 2002, pp.217-238. |
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44. General trajectory triangulation (with J.Y. Kaminski), Proceedings of the European Conference of Computer Vision, 2002. |
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45. On the degeneration, regeneration and braid monodromy of T΄T
(with M. Amram), Acta Appl. Math. 75, 2003, 195-270.PDF File). |
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46.
p1-classification of arrangements with up to 8 lines (with D. Garber and U.
Vishne), Topology 42 (2003), 265-289. (PDF
File). |
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47.
Fundamental groups of some conic-line arrangements (with M. Amram and M.
Uludag), Topology and its Applications 130, no. 2 (2003), 159-173.
(PDF File). |
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48. Hurwitz equivalence in B3 (with T. Ben-Itzhak), International Journal of Algebra and Computation 13, no. 3, (2003), 277-286.(PDF File) |
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49. Properties of Hurwitz equivalence in the braid group of order n (with T. Ben-Itzhak), Journal of Algebra 264 (2003), 15-25.(PDF File) |
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50.
Graph theoretic methods for determining non-Hurwitz equivalence in the braid
group and symmetric group (with T. Ben-Itzhak), Israel J. Math.
135 (2003), 83-91. (PDF File). |
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51. The fundamental group of the complement of the branch curve of the double torus (with M. Amram), Osaka Journal of Mathematics 40, no.4 (2003), 857-893.(PDF File). |
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52. A general framework for trajectory triangulations (with J.Y. Kaminski), Journal of Mathematics Imaging and Vision 21 (2004), 27-41. |
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53. Topological algorithms for conjugation of half-twists in the braid group with application to Hurwitz equivalence (with T. Ben-Itzhak), Proceedings of the Fano Conference (A. Collina, A. Conte, M. Marchisio, eds.), 2004, pp. 209-222 |
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55. Recovering an algebraic curve from its projections to different planes (with M. Fryers and J.Y. Kaminski), Journal of the European Mathematical Society 7 (2005), 145-172. |
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56. The Coxeter quotient of the fundamental group of a Galois cover of T ΄ T (with M. Amram and U. Vishne), to appear in Communications in Algebra. |
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57. Conjugacy in Artin groups and application to the classification of surfaces (with E. Godelle and S. Kaplan), to appear in Journal of Algebra and Applications. |
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58. Probabilistic solutions of equations in the braid groups (with D. Garber, S. Kaplan, B. Tsaban and U. Vishne), to appear in Advances in Applied Mathematics. |
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