Rokhlin Conjecture and Topology of Quotients of Complex Surfaces by Complex Conjugation

Details Rokhlin Conjecture and Topology of Quotients of Complex Surfaces by Complex Conjugation Rokhlin Conjecture and Topology of Quotients of Complex Surfaces by Complex Conjugation

1995-06-14

arxiv.org/abs/dg-ga/9506007v3

Mathematics

Algebraic Geometry

Some minor improvements and correction of misprints were done and some references were added

Scientific paper

Quotients $Y=X/conj$ of complex surfaces by anti-holomorphic involutions $conj\: X\to X$ tend to be completely decomposable when they are simply connected, i.e., split into connected sums, $n CP^2\#m\barCP2$, if $w_2(Y)\ne0$, or into $n(S^2\times S^2)$ if $w_2(Y)=0$. If $X$ is a double branched covering over $CP^2$, this phenomenon is related to unknottedness of Arnold surfaces in $S^4=CP^2/conj$, which was conjectured by V.Rokhlin. The paper contains proof of Rokhlin Conjecture and of decomposability of quotients for plenty of double planes and in certain other cases. This results give, in particular, an elementary proof of Donaldson's result on decomposability of $Y$ for K3 surfaces.

Affiliated with

Also associated with

No associations

Rating

Rokhlin Conjecture and Topology of Quotients of Complex Surfaces by Complex Conjugation 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 Rokhlin Conjecture and Topology of Quotients of Complex Surfaces by Complex Conjugation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rokhlin Conjecture and Topology of Quotients of Complex Surfaces by Complex Conjugation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-665740