Multiplicities and Chern Classes in Local Algebra

1998 ◽  
Author(s):  
Paul C. Roberts
Keyword(s):  
Local Algebra ◽  
Chern Classes

scholarly journals Tensors with eigenvectors in a given subspace

2021 ◽  
Author(s):  
Giorgio Ottaviani ◽  
Zahra Shahidi
Keyword(s):  
Algebraic Geometry ◽  
Linear Subspace ◽  
Chern Classes ◽  
Symmetric Tensors

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.

scholarly journals A Construction of Chern Classes of Parabolic Vector Bundles

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

scholarly journals Chern classes of tensor products

2016 ◽  
Vol 27 (10) ◽  
pp. 1650079 ◽  
Author(s):  
Laurent Manivel
Keyword(s):  
Vector Bundles ◽  
Tensor Products ◽  
Chern Classes ◽  
Explicit Formulas

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.

scholarly journals Transfers of Chern classes in BP-cohomology and Chow rings

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