Geodesic
A generalization of the Lefschetz hyperplane section theorem
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 191-194

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The well-known Lefschetz theorem is generalized to the case of two intersecting varieties. The proof is based on a modification of the Morse theory. 
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     author = {N. Yu. Netsvetaev},
     title = {A generalization of the {Lefschetz} hyperplane section theorem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {191--194},
     publisher = {mathdoc},
     volume = {252},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a16/}
}
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N. Yu. Netsvetaev. A generalization of the Lefschetz hyperplane section theorem. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 191-194. http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a16/