Publication Date:
2013-09-13
Description:
We observe that E -resultant of a very ample rank 2 vector bundle E on a real projective curve (with no real points) is nonnegative when restricted to the space of real sections. Moreover, we show that if E has a section vanishing at exactly two points and the degree d of E satisfies d ( d – 6) ≥ 4( g – 1), then this polynomial cannot be written as a sum of squares.
Print ISSN:
0024-6093
Electronic ISSN:
1469-2120
Topics:
Mathematics