%0 Journal Article %1 Suciu:mz87 %A Suciu, Alexander I. %D 1987 %J Math. Z. %K Alex %N 1 %P 51--57 %T Immersed spheres in $CP2$ and $S2S2$ %U http://www.springerlink.com/content/gg5677l137p214h3/ %V 196 %X If $M$ is a compact, connected, simply-connected, smooth $4$-manifold, and gamma is a class in $H_2(M; \Z)$, define $d_\gamma$ to be the minimum number of double points of immersed spheres representing $\gamma$. We use a theorem of S. K. Donaldson to provide lower bounds for $d_\gamma$, for $\gamma$ certain homology classes in rational surfaces.

@article{Suciu:mz87, abstract = {If $M$ is a compact, connected, simply-connected, smooth $4$-manifold, and gamma is a class in $H_2(M; \mathbb{\Z})$, define $d_{\gamma}$ to be the minimum number of double points of immersed spheres representing $\gamma$. We use a theorem of S. K. Donaldson to provide lower bounds for $d_{\gamma}$, for $\gamma$ certain homology classes in rational surfaces.}, added-at = {2009-11-26T20:48:22.000+0100}, author = {Suciu, Alexander I.}, biburl = {https://www.bibsonomy.org/bibtex/2aa245ce5d8b9d73a3b4ed4290b5f6a83/asuciu}, fjournal = {Mathematische Zeitschrift}, interhash = {ded616253590ccbd3208ee237ffa2bd6}, intrahash = {aa245ce5d8b9d73a3b4ed4290b5f6a83}, issn = {0025-5874}, journal = {Math. Z.}, keywords = {Alex}, month = {March}, mrclass = {57R95 (57N13 57R42)}, mrnumber = {MR907407 (88j:57038)}, mrreviewer = {Don{\v{c}}o Dimovski}, number = 1, pages = {51--57}, timestamp = {2009-11-26T20:48:22.000+0100}, title = {Immersed spheres in {$\mathbf{CP}\sp 2$} and {$S\sp 2\times S\sp 2$}}, url = {http://www.springerlink.com/content/gg5677l137p214h3/}, volume = 196, year = 1987, zblnumber = {608.57025} }