Fiberwise stable bundles on elliptic threefolds with relative Picard number one

@inproceedings{RARU2001FiberwiseSB,
  title={Fiberwise stable bundles on elliptic threefolds with relative Picard number one},
  author={Andrei CĂLD ĂRARU},
  year={2001}
}
  • Andrei CĂLD ĂRARU
  • Published 2001
We show that fiberwise stable vector bundles are preserved by relative Fourier-Mukai transforms between elliptic threefolds with relative Picard num ber one. Using these bundles we define new invariants of elliptic fibrations, and we relate th invariants of a space with those of a relative moduli space of stable sheaves on it. As a byprod uct, we calculate the intersection form of a certain new example of an elliptic Calabi-Yau t hreefold. c © 2002 Académie des sciences/ Éditions scientifiques… CONTINUE READING