AUBG Faculty Bibliography: Iliev, Hristo

Journal Articles

Choi, Y., Iliev, H. & Kim, S. (2024). Components of the Hilbert scheme of smooth projective curves using ruled surfaces II: Existence of non-reduced components. Manuscripta Mathematica. https://doi.org/10.1007/s00229-024-01580-0

Choi, Y., Iliev, H. & Kim, S. (2024). Non-reduced components of the Hilbert Scheme of curves using triple covers. Mediterranean Journal of Mathematics, 21(4), 134. https://doi.org/10.1007/s00009-024-02668-3

Choi, Y., Iliev, H., & Kim, S. (2021). Components of the Hilbert scheme of smooth projective curves using ruled surfaces. Manuscripta Mathematica, 164(3), 395-408. https://doi.org/10.1007/s00229-020-01188-0

Choi, Y., Iliev, H., & Kim, S. (2017). Reducibility of the Hilbert scheme of smooth curves and families of double covers. Taiwanese Journal of Mathematics, 21(3), 583–600. https://doi.org/10.11650/tjm/7839

Iliev, H. (2008). On the irreducibility of the Hilbert scheme of curves in ℙ ⁵. Communications in Algebra, 36(4), 1550-1564.

Iliev, H. (2007). A refinement of the classical Clifford inequality. Journal of the Korean Mathematical Society, 44(3), 565–583. http://pdf.medrang.co.kr/kms01/JKMS/44/JKMS-44-3-565-583.pdf

Iliev, H. (2006). On the irreducibility of the Hilbert scheme of space curves. Proceedings of the American Mathematical Society, 134(1006), 2823–2832. http://www.ams.org/journals/proc/2006-134-10/S0002-9939-06-08516-9/S0002-9939-06-08516-9.pdf

Damgov, V., & Iliev, H. (1998). Presence of a smale horseshoe in the dynamics of a particle under the action of two waves. Journal of Theoretical and Applied Mechanics, 28(3), 9–15.

Iliev, H. (1996). On the non-integrability of a Hamiltonian system resulting from a problem for elastic string. In Годишник на Софийския Университет Св. Климент Охридски. Факултет по математика и информатика = Annuaire de l’Universite de Sofia St. Kliment Ohridski. Faculte de matematique et informatique (pp. 57–69). Университетско издателство Св. Климент Охридски, 1964-.