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IENA Oleksandr

Main Referenced Co-authors
LEYTEM, Alain  (1)
Main Referenced Keywords
Simpson moduli spaces (9); coherent sheaves (7); vector bundles on curves (7); Chern classes (3); Rieman surfaces (3);
Main Referenced Disciplines
Mathematics (19)

Publications (total 19)

The most downloaded
632 downloads
Iena, O. (2016). chern.lib: a library for symbolic computations with Chern classes. https://hdl.handle.net/10993/21949

The most cited

3 citations (Scopus®)

Iena, O. (2011). Vector Bundles on Elliptic Curves and Factors of Automorphy. Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 43, 61–94. https://hdl.handle.net/10993/13304

Iena, O. (2016). chern.lib: a library for symbolic computations with Chern classes.

Iena, O., & Leytem, A. (2016). On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves. Canadian Mathematical Bulletin. doi:10.4153/CMB-2016-059-7
Peer reviewed

Iena, O. (2016). goettsche.lib: a Singular library implementing the Göttsche's formula.

Iena, O. (2016). On different approaches to compute the Chern classes of a tensor product of two vector bundles. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/27418.

Iena, O. (January 2016). On 1-dimensional sheaves on projective plane [Paper presentation]. Workshop - Higgs bundles and Hitchin system - VBAC2016, Lausanne, Switzerland.

Iena, O. (2016). A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics. (2). ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/24469.

Iena, O. (2016). On the singular 1-dimensional planar sheaves supported on quartics. Rendiconti dell'Istituto di Matematica dell'Università di Trieste. doi:10.13137/2464-8728/13173
Peer Reviewed verified by ORBi

Iena, O. (2015). Riemann Surfaces. Lecture notes. Winter semester 2015/2016.

Iena, O. (September 2015). A global description of the fine Simpson moduli space of 1-dimensional sheaves supported on plane quartics [Poster presentation]. International Conference on Geometry and Quantization (GEOQUANT 2015), Madrid, Spain.

Iena, O. (2015). On the singular sheaves in the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics. Rendiconti dell'Istituto di Matematica dell'Università di Trieste.
Peer Reviewed verified by ORBi

Iena, O. (2015). On symbolic computations with Chern classes: remarks on the library chern.lib for Singular. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/22395.

Iena, O. (2015). lrcalc.lib: a Singular interface to the Littlewood-Richardson Calculator by Anders Buch.

Iena, O. (2015). Universal Plane Curve and Moduli Spaces of 1-dimensional Coherent Sheaves. Communications in Algebra, 43 (2), 812-828. doi:10.1080/00927872.2013.849265
Peer reviewed

Iena, O. (2014). Universal plane curve and moduli spaces of 1-dimensional coherent sheaves. (v3). ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/10961.

Iena, O. (2014). Riemann Surfaces. Lecture notes. Winter semester 2014/2015. (Unilu - University of Luxembourg, Luxembourg, Riemann surfaces).

Iena, O. (2013). Riemann Surfaces. Lecture notes. Winter semester 2013/2014. (Unilu - University of Luxembourg, Luxembourg, Riemann surfaces).

Iena, O. (June 2013). Modifications of the Simpson moduli spaces of 1-dimensional sheaves on a projective plane by vector bundles [Poster presentation]. Géométrie Algébrique en Liberté, GAEL XXI, Stockholm, Sweden.

Iena, O. (June 2012). Universal plane curves and Simpson moduli spaces of 1-dimensional sheaves [Poster presentation]. 1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Liege, Belgium.

Iena, O. (2011). Vector Bundles on Elliptic Curves and Factors of Automorphy. Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 43, 61–94.
Peer reviewed

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