FOLIATIONS OF MULTIPROJECTIVE SPACES AND A CONJECTURE OF BERNSTEIN AND LUNTS

作者：Coutinho S C^*

来源：Transactions of the American Mathematical Society, 2011, 363(4): 2125-2142.

DOI：10.1090/S0002-9947-2010-05230-4

• Derivation
• singularity
• invariant variety
• Hamiltonian
• symplectic geometry
• D-module

We use foliations of multiprojective spaces defined by Hamiltonian functions on the underlying affine space to prove the three dimensional case of a conjecture of Bernstein and Lunts, according to which the symbol of a generic first-order differential operator gives rise to a hypersurface of the cotangent bundle which does not contain involutive conical subvarieties apart from the zero section and fibres of the bundle.

• 出版日期2011-4