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5 papers · 2 filters
Matrix factorizations and curves in
Frank-Olaf Schreyer, Fabio Tanturri
Let be a curve in and be a hypersurface containing it. We show how it is possible to construct a matrix factorization on from the pair and, conve…
Manifolds of low dimension with trivial canonical bundle in Grassmannians
Vladimiro Benedetti
We study fourfolds with trivial canonical bundle which are zero loci of sections of homogeneous, completely reducible bundles over ordinary and classical complex Grassmannians. We…
Explicit Schoen surfaces
Carlos Rito, Xavier Roulleau, Alessandra Sarti
We give an explicit construction for the -dimensional family of Schoen surfaces by computing equations for their canonical images, which are -nodal complete intersections of…
Remarks on Tsfasman-Boguslavsky Conjecture and Higher Weights of Projective Reed-Muller Codes
Mrinmoy Datta, Sudhir R. Ghorpade
Tsfasman-Boguslavsky Conjecture predicts the maximum number of zeros that a system of linearly independent homogeneous polynomials of the same positive degree with coefficients in…
Residues for flags of holomorphic foliations
Jean-Paul Brasselet, Maurício Corrêa, Fernando Lourenço
In this work we prove a Baum-Bott type residue theorem for flags of holomorphic foliations. We prove some relations between the residues of the flag and the residues of their corre…