On surfaces of general type with q=5

Details On surfaces of general type with q=5 On surfaces of general type with q=5

2010-03-31

arxiv.org/abs/1003.5991v1

Mathematics

Algebraic Geometry

9 pages.

Scientific paper

We prove that a complex surface S with irregularity q(S)=5 that has no irrational pencil of genus >1 has geometric genus p_g(S)>7. As a consequence, one is able to classify minimal surfaces S of general type with q(S)=5 and p_g(S)<8. This result is a negative answer, for q=5, to the question asked in arXiv:0811.0390 of the existence of surfaces of general type with irregularity q>3 that have no irrational pencil of genus >1 and with the lowest possible geometric genus p_g=2q-3. This gives some evidence for the conjecture that the only irregular surface with no irrational pencil of genus >1 and p_g=2q-3 is the symmetric product of a genus three curve.

Affiliated with

Also associated with

No associations

Rating

On surfaces of general type with q=5 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On surfaces of general type with q=5, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On surfaces of general type with q=5 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-579778