Pieri-type intersection formulas and primary obstructions for decomposing 2-forms

• Autorzy: Sinan Sertöz
• Języki publikacji: EN

Abstrakty

EN

We study the homological intersection behaviour for the Chern cells of the universal bundle of G(d,Qₙ), the space of [d]-planes in the smooth quadric Qₙ in $ℙ^{n+1}$ over the field of complex numbers. For this purpose we define some auxiliary cells in terms of which the intersection properties of the Chern cells can be described. This is then applied to obtain some new necessary conditions for the global decomposability of a 2-form of constant rank.

Kategorie tematyczne

• 14N10: Enumerative problems (combinatorial problems)
• 14M15: Grassmannians, Schubert varieties, flag manifolds
• 14M17: Homogeneous spaces and generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 2
• Strony: 201-210

Daty

wydano

2001

Twórcy

autor

Sinan Sertöz

• Department of Mathematics, Bilkent University, TR-06533 Ankara, Turkey

Identyfikatory

DOI

10.4064/cm87-2-6