top of page
Scientific publications

Most of my publications are available at

Below is the list of my publications

פרסומים מדעים

מרבית הפרסומים שלי ניתנים להורדה ב-

להלן רשימת הפרסומים שלי

  1. A note on Nagata's counter-examples to Hilbert's fourteenth problem (joint with E. Shustin), Preprint 1995.

  2. Linear systems of plane curves with generic multiple points (joint with E. Shustin), Preprint 1996.

  3. h^1-vanishing criteria in some problems in Algebraic Geometry and Singularity Theory, M. Sc. Thesis, Weizmann Institute of Science, 1998.

  4. Constructions and deformations of singular varieties, Ph.D. Thesis, Tel-Aviv University, 2003.

  5. Versal deformation of algebraic hypersurfaces with isolated singularities (joint with E. Shustin), Math. Ann. 313, 297-314 (1999).

  6. Existence of curves with prescribed topological singularities (joint with T. Markwig), Trans. of AMS 354, 1837--1860, (2002).

  7. Patchworking singular algebraic curves I (joint with E. Shustin), Israel J. of Math. 151, 125--144, (2006).

  8. Patchworking singular algebraic curves II (joint with E. Shustin), Israel J. of Math. 151, 145--166, (2006).

  9. On Severi varieties on Hirzebruch surfaces, Int. Math. Res. Not. (IMRN) 23, article ID rnm109, (2007).

  10. On the quantum homology algebra of toric Fano manifolds (joint with Y. Ostrover), Selecta Math. (NS) 15, 121--149, (2009).

  11. An appendix to the paper of S. Kleiman and R. Piene Enriques diagrams, infinitely near points, and Hilbert schemes, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 22, 411--451 (2011).

  12. Tropical geometry and correspondence theorems via toric stacks, Math. Ann. 353, (2012) 945--995.

  13. On Zariski's theorem in positive characteristic, J. Eur. Math. Soc. (JEMS) 15, (2013), no. 5, 1783-–1803.

  14. An appendix to the paper of S. Kleiman and V. Shende On the Göttsche threshold, Clay Math. Proc., 18, A celebration of algebraic geometry, 429–449, Amer. Math. Soc., Providence, RI, 2013.

  15. An example of a reducible Severi variety, Proceedings of the Gökova Geometry-Topology Conference 2013, 33–40, Gökova Geometry/Topology Conference (GGT), Gökova, 2014.

  16. Multi-linear secret-sharing schemes (joint with A. Beimel, A. Ben-Efraim, and C. Padró), Theory of cryptography, 394–418, Lecture Notes in Comput. Sci., 8349, Springer, Heidelberg, 2014.

  17. Ferrand's pushouts for algebraic spaces (joint with M. Temkin), Eur. J. Math. 2, 960-–983 (2016).

  18. Prüfer algebraic spaces (joint with M. Temkin), Math. Z., 285, 1283--1318, (2017).

  19. Enumeration of rational curves with cross-ratio constraints, Adv. Math. 305, 1356--1383. (2017).

  20. On relative birational geometry and Nagata's compactification (joint with M. Temkin), Int. Math. Res. Not. Volume 2018, Issue 11 (2017).

  21. Tropicalized quartics and canonical embeddings for tropical curves of genus 3 (joint with M.A.Hahn, H.Markwig, and Y.Ren), Int. Math. Res. Not. Volume 2021, Issue 12, (2021).

  22. Reduction and lifting problem for differential forms on Berkovich curves (joint with M. Temkin), Adv. Math. 397. (2022).

  23. A note on the Severi problem for toric surfaces (joint with L.Lang), Math. Ann. (2022).

  24. Degeneration of curves on some polarized toric surfaces (joint with K.Christ and X.He), J. Reine Angew. Math. 787 (2022), 197–240.

  25. On the Severi problem in arbitrary characteristic (joint with K.Christ and X.He), Publ. Math. Inst. Hautes Études Sci. (2022)

Prof. Ilya Tyomkin

פרופ' איליה טיומקין

bottom of page