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Special linear systems and syzygies

✍ Scribed by Alberto Alzati


Publisher
Universitat de Barcelona
Year
2008
Tongue
Spanish
Weight
217 KB
Volume
59
Category
Article
ISSN
0010-0757

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The integration of systems of linear PDE
✍ Thomas Wolf πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 271 KB

A new integration technique is presented for systems of linear partial differential equations (PDEs) for which syzygies can be formulated that obey conservation laws. These syzygies come for free as a by-product of the differential GrΓΆbner basis computation. Compared with the more obvious way of int

Singular bielliptic curves and special l
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Here we study the Brill-Noether theory of special linear systems on a singular Gorenstein bielliptic curve Y . Any such linear system is associated to a spanned rank 1 torsion-free sheaf, L. We obtain the same results as in the case of a smooth curve if either L ∈ Pic(Y ) or Y has only ordinary node