Browsing by Author "Şentürk, Berrin"
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Carlsson's rank conjecture and a conjecture on square-zero upper triangular matrices
Şentürk, Berrin; Ünlü, Özgün (Elsevier, 2018)Let k be an algebraically closed field and A the polynomial algebra in r variables with coefficients in k. In case the characteristic of k is 2, Carlsson [9] conjectured that for any DG-A-module M of dimension N as a ... -
A conjecture on square-zero upper triangular matrices and Carlsson's rank conjecture
Şentürk, Berrin (Bilkent University, 2018-09)A well-known conjecture states that if an elementary abelian p-group acts freely on a product of spheres, then the rank of the group is at most the number of spheres in the product. Carlsson gives an algebraic version ... -
Free actions on CW-complexes and varieties of square zero matrices
Şentürk, Berrin (Bilkent University, 2011)Gunnar Carlsson stated a conjecture which gives a lower bound on the rank of a differential graded module over a polynomial ring with coefficients in algebraically closed field k when it has a finite dimensional homology ...