Igor Burban
- Derived categories of irreducible projective curves of arithmetic genus one
2005/03/23 by Igor Burban, Burban, Igor, Bernd Kreußler +1 · 5 citations
Mathematics · Physics and Astronomy · #14H10 #14H20 #14H52 #14H60 #18E30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
- On the derived categories of gentle and skew-gentle algebras: homological algebra and matrix problems
2017/06/26 by Igor Burban, Yuriy Drozd, Burban, Igor +1 · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)
- Non-commutative nodal curves and derived tame algebras
2018/05/14 by Igor Burban, Yuriy Drozd, Burban, Igor +1 · 3 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Algebraic structures and combinatorial models #Advanced Differential Equations and Dynamical Systems
- Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstrass cubics
2004/01/30 by Igor Burban, Bernd Kreussler, Burban, Igor +2 · 1 citation
Mathematics · Physics and Astronomy · #14H60 #18E30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.AG #math.RT #msc:14H60 #msc:18E30
- Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems
2010/02/16 by Igor Burban, Burban, Igor, Yuriy Drozd +1 · 1 citation
#13C14 #13H10 #16G50 #16G60 #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)
- Maximal Cohen-Macaulay modules over surface singularities
2008/03/02 by Igor Burban, Yuriy Drozd, Burban, Igor +1 · 1 citation
Mathematics · #13C14 #13H10 #16G50 #16G60 #32S25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT)
- Torsion free sheaves on Weierstrass cubic curves and the classical\n Yang-Baxter equation
2016/12/14 by Igor Burban, Lennart Galinat, Burban, Igor +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
- Fourier–Mukai transform on Weierstrass cubics and commuting differential operators
2018/07/19 by Igor Burban, Alexander Zheglov · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons
- Cohen–Macaulay modules over the algebra of planar quasi–invariants and Calogero–Moser systems
2020/05/19 by Igor Burban, Alexander Zheglov · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Advanced Combinatorial Mathematics
- Algebraic geometry of the multilayer model of the fractional quantum Hall effect on a torus
2023/09/09 by Igor Burban, Semyon Klevtsov, Burban, Igor +1 · 2 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Black Holes and Theoretical Physics #Quantum and electron transport phenomena
- Norms of wave functions for FQHE models on a torus
2024/04/01 by Igor Burban, Burban, Igor, Semyon Klevtsov +1 · 2 citations
Engineering · #Algebraic Geometry (math.AG) #Earthquake and Tsunami Effects #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #Mathematical Physics (math-ph) #Vibration and Dynamic Analysis
- Indecomposables of the derived categories of certain associative\n algebras
2003/07/04 by Igor Burban, Yuriy Drozd, Burban, Igor +1 · 2 citations
Mathematics · Physics and Astronomy · #16G60 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)
- Exceptional hereditary curves and real curve orbifolds
2024/11/09 by Igor Burban, Burban, Igor · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Representation Theory (math.RT)