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An elliptic conic bundle in P^4 arising from a stable rank-3 vector bundle by Abo, Hirotachi; Decker, Wolfram; Sasakura, Nobuo is a scholarly article available to read on EtoBox.

What is An elliptic conic bundle in P^4 arising from a stable rank-3 vector bundle about?

In this note we show the existence of a family of elliptic conic bundles in P^4 of degree 8. This family has been overlooked and in fact falsely ruled out in a series of classification papers. Our surfaces provide a counterexample to a conjecture of Ellingsrud and Peskine. According to this conjecture there should be no irregular m-ruled surface in P^4 for m at least 2.

Author

Abo, Hirotachi; Decker, Wolfram; Sasakura, Nobuo

Published

1997

Language

EN