Fibres of analytic maps

• Autorzy: Kwieciński M. , Tworzewski P.
• Języki publikacji: EN

Abstrakty

EN

We prove that if a generically finite algebraic map has an isolated special fibre of small positive dimension then it has many points in the generic fibre. We also generalize this result to the case of analytic maps and non-isolated special fibres. The proofs of these theorems are based on a systematic study of the geometry of fibred powers. The presence of "vertical" irreducible components in fibred powers provides topological information. For example, their absence is equivalent to the map being open.

Słowa kluczowe

EN

fibred power; generically finite map; special and general fibre

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1999
• Tom: Vol. 47, no 3
• Strony: 245--255
• Opis fizyczny: Bibliogr. 19 poz.,

Twórcy

autor

Kwieciński M.

autor

Tworzewski P.

• Uniwersytet Jagielloński, Instytut Matematyki, ul. Reymonta 4, 30-059 Kraków, Poland