WebWe identify the weight of this refined line bundle with the generalized Futaki invariant of Donaldson. ... shows that this refined sheaf is isomorphic to the CM polarization introduced by Tian in ... WebJun 20, 2006 · The Mabuchi K-energy map is exhibited as a singular metric on the refined CM polarization of any equivariant family . Consequently we show that the generalized Futaki invariant is the leading term in the asymptotics of the reduced K-energy of the generic fiber of the map .
Futaki Invariant and CM Polarization Request PDF
WebJun 4, 2016 · In this section, we will first recall the original formulation of the Futaki invariant. This was first introduced by Futaki [] as a holomorphic obstruction to the … WebCM STABILITY AND THE GENERALIZED FUTAKI INVARIANT I SEAN TIMOTHY PAUL AND GANG TIAN ABSTRACT. Based on the Cayley, Grothendieck, Knudsen Mumford … clog free laundry
CM Stability and the Generalized Futaki Invariant I
WebIn fact, on any Fano variety, we have an obstruction to finding a Kaehler-Einstein metric: if the Futaki invariant doesn't vanishes then there is no Kahler Einstein metric. Donaldson … WebThe Mabuchi K-energy map is exhibited as a singular metric on the refined CM polarization of any equivariant family X p → S. Consequently we show that the generalized Futaki invariant is the leading term in the asymptotics of the … http://www.numdam.org/item/AST_2009__328__339_0.pdf clog free razor