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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.47 (2015)
  6. Expressing Forms as a Sum of Pfaffians
 
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Expressing Forms as a Sum of Pfaffians

Chiantini, Luca
2015
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ISSN
0049-4704
DOI
10.13137/0049-4704/11218
http://hdl.handle.net/10077/11218
  • Article

e-ISSN
2464-8728
Abstract
Let A = (aij) be a symmetric non-negative integer 2k X 2k matrix. A is homogeneous if aij + ail = an + akj for any choice of the four indexes. Let A be a homogeneous matrix and let F be a general form in C[xi,....xn] with 2deg(F) = trace(A). We look for the least integer s(A), so that F = pfaff(M1) + ••• + pfaff(Ms(A)) where the Mi = (Fim) are 2k X 2k skew-symmetric matrices of forms with degree matrix A. We consider this problem for n = 4 and we prove that s (A)_< k for all A.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
47 (2015)
Publisher
EUT Edizioni Università di Trieste
Languages
en
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