scholarly journals Chern Classes of Graph Hypersurfaces and Deletion-Contraction Relations

2012 ◽  
Vol 12 (4) ◽  
pp. 671-700 ◽  
Author(s):  
Paolo Aluffi
Author(s):  
Giorgio Ottaviani ◽  
Zahra Shahidi

AbstractThe first author with B. Sturmfels studied in [16] the variety of matrices with eigenvectors in a given linear subspace, called the Kalman variety. We extend that study from matrices to symmetric tensors, proving in the tensor setting the irreducibility of the Kalman variety and computing its codimension and degree. Furthermore, we consider the Kalman variety of tensors having singular t-tuples with the first component in a given linear subspace and we prove analogous results, which are new even in the case of matrices. Main techniques come from Algebraic Geometry, using Chern classes for enumerative computations.


2013 ◽  
Vol 42 (3) ◽  
pp. 1111-1122 ◽  
Author(s):  
Indranil Biswas ◽  
Ajneet Dhillon
Keyword(s):  

2016 ◽  
Vol 27 (10) ◽  
pp. 1650079 ◽  
Author(s):  
Laurent Manivel

We prove explicit formulas for Chern classes of tensor products of virtual vector bundles, whose coefficients are given by certain universal polynomials in the ranks of the two bundles.


2000 ◽  
Vol 353 (3) ◽  
pp. 1039-1054 ◽  
Author(s):  
Björn Schuster ◽  
Nobuaki Yagita
Keyword(s):  

K-Theory ◽  
1998 ◽  
Vol 15 (3) ◽  
pp. 253-268
Author(s):  
Alexander Gorokhovsky
Keyword(s):  

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