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- M S Narasimhan
  
  Articles written in Proceedings – Mathematical Sciences
- Volume 90 Issue 2 May 1981 pp 125-128
  
  Polarisations on an abelian variety
  
  M S Narasimhan M V Nori
  
  More Details Fulltext PDF
- Volume 104 Issue 1 February 1994 pp 191-200 Obituary note
  
  Vector bundles as direct images of line bundles
  
  A Hirschowitz M S Narasimhan
  
  More Details Abstract Fulltext PDF
  
  LetX be a smooth irreducible projective variety over an algebraically closed fieldK andE a vector bundle onX. We prove that, if dimX ≥ 1, there exist a smooth irreducible projective varietyZ overK, a surjective separable morphismf:Z →X which is finite outside an algebraic subset of codimension ≥ 3 inX and a line bundleL onX such that the direct image ofL byf is isomorphic toE. WhenX is a curve, we show thatZ, f, L can be so chosen thatf is finite and the canonical mapH¹(Z, O) →H¹(X, EndE) is surjective.

Proceedings – Mathematical Sciences

Volume 132, 2022
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