On a Whitham-type equation

DOI10.3842/SIGMA.2009.101zbMath1189.35290arXiv0909.4455MaRDI QIDQ970290

Sergei Sakovich, Iustin Coandă

Publication date: 17 May 2010

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4455

zbMATH Keywords

projective spacetransformationsgeneral solutionsnonlinear PDEsstable vector bundlesyzygy bundlebase-point free vector space

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) KdV equations (Korteweg-de Vries equations) (35Q53) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Syzygies, resolutions, complexes and commutative rings (13D02) Solutions to PDEs in closed form (35C05)

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Cites Work

• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• Looking out for stable syzygy bundles
• Restrictions of semistable bundles on projective varieties
• Des fibres uniformes non homogènes
• Stability and unobstructedness of syzygy bundles
• EQUIVARIANT BUNDLES ON TORAL VARIETIES