English

Lagrangian shadows of ample algebraic divisors

Algebraic Geometry 2016-01-25 v1 Symplectic Geometry

Abstract

In the framework of Special Bohr - Sommerfeld geometry it was established that an ample divisor in compact algebraic variety can define almost canonically certain real submanifold which is lagrangian with respect to the corresponding Kahler form. It is natural to call it "lagrangian shadow"; below we emphasize this correspondence and present some simple examples, old and new. In particular we show that for irreducible divisors from the linear system 12KF3\vert - \frac{1}{2} K_{F^3} \vert on the full flag variety F3F^3 their lagrangian shadows are Gelfand - Zeytlin type lagrangian 3 - spheres.

Keywords

Cite

@article{arxiv.1601.05974,
  title  = {Lagrangian shadows of ample algebraic divisors},
  author = {Nikolay A. Tyurin},
  journal= {arXiv preprint arXiv:1601.05974},
  year   = {2016}
}

Comments

4 pages, comments are welcome

R2 v1 2026-06-22T12:34:49.740Z