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math.AG2017★ 1 cited
A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds
Indranil Biswas, Vamsi Pritham Pingali
A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite…
math.DG2017
Metric properties of parabolic ample bundles
Indranil Biswas, Vamsi Pritham Pingali
We introduce a notion of admissible Hermitian metrics on parabolic bundles and define positivity properties for the same. We develop Chern-Weil theory for parabolic bundles and pro…
math-ph2017
Quillen metrics and perturbed equations
Vamsi Pritham Pingali
We come up with infinite-dimensional prequantum line bundles and moment map interpretations of three different sets of equations - the generalised Monge-Amp`ere equation, the almos…